Two lengths are shown below: A. 24 inches B. 2 feet. Explain why length A is
equivalent to length B. Use your knowledge of converting inches to feet in
your answer.


I need help plzzz

Answers

Answer 1

Answer:

ok cuz evrey 12 inch = 1 feet thank youu

Answer 2
1 foot is equal to 12 inches meaning that 24 inches divided by 2 is 12 inches. Since each foot is 12 inches and we got 24/2= 12 that means that both 2 feet and 24 inches are equivalent, idk if I did good but my bad if you don’t understand

Related Questions

8.

Hope spent a total of $131 on seven throw pillows. Fancy throw pillows

cost $28 and plain throw pillows cost $15.

Use substitution to solve the linear system of equations and

determine how many fancy pillows, x, and plain pillows, y she bought.

Write the solution to the system as an ordered pair (x,y).

Answers

Answer:

(2, 5)

Step-by-step explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows  cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______  (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows

v=[2;0;-1]; >> w=[1;3;3]; >> x=[6;1;-3]; >> y=[1;0;2]; >> z=[2;-15;-1];Exercise 5.1 Enter the following vectors into MATLAEB 6 a. List all maximal orthogonal subsets of the above set. That is, group the vectors v, w, x, y, and z in as many ways as possible so that all the vectors in your group are orthogonal to each other and none of the vectors outside the group are orthogonal to all the vectors in the group. For example, the set fw, x) contains two vectors that are orthogonal to each other and none of the other vectors are orthogonal to both of these at the same time. But this is only one example, there are more What is the maximum number of nonzero orthogonal vectors that you could possibly find in R3? What about R? Explain b. Take the largest orthogonal subset and normalize all the vectors in that set as follows: >> V-v/norm(v) This code replaces v with itself divided by its size-so we get a vector pointing in the same direction but with length 1. The above code normalizes v, so you'll have to normalize the other vectors in your orthogonal subset as well, replacing v with the appropriate letter. Store the resulting vectors in MATLAB as columns of a matrix W. Enter them in alphabetical order from left to right

Answers

As a question-answering bot, I cannot provide the solution of this question as it requires the use of MATLAB software which cannot be done in this platform. However, I can provide a general overview and steps that can be followed to solve the problem.  List all maximal orthogonal subsets of the above set. That is, group the vectors v, w, x, y, and z in as many ways as possible so that all the vectors in your group are orthogonal to each other and none of the vectors outside the group are orthogonal to all the vectors in the group. The maximal orthogonal subsets of the above set are: {v, y}, {w, x}, {z}b. Take the largest orthogonal subset and normalize all the vectors in that set as follows: >> V-v/norm(v) This code replaces v with itself divided by its size-so we get a vector pointing in the same direction but with length 1. The above code normalizes v, so you'll have to normalize the other vectors in your orthogonal subset as well, replacing v with the appropriate letter. Store the resulting vectors in MATLAB as columns of a matrix W. Enter them in alphabetical order from left to right.The largest orthogonal subset is {w, x}. The normalized vectors are w/norm(w) and x/norm(x). Store the resulting vectors in MATLAB as columns of a matrix W and enter them in alphabetical order from left to right. The resulting matrix would be: W = [1/√19 6/√19; 3/√19 1/√19; 0 -3/√19]Note: This solution is based on the assumption that the vectors are given in column form.

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Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow

Answers

Answer:

\(\frac{2}{9}\)

Step-by-step explanation:

The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be \(\frac{successful}{total}\).

In this case, there are a total of \(20+15+10=45\) ways to choose any ball, since there are \(45\) balls in the box. However, only \(10\) are yellow, so there are \(10\) ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is \(\frac{10}{45}=\frac{2}{9}\). Hope this helps!

A dentist kept a record of the number of new cavities his patients had per year for the last 10 years. The scatterplot below shows the average number of new cavities per year for patients in the 4-to 32-year age range. Which of the following best describes the trend line of the data shown in the scatterplot? O a horizontal line a line with a negative slope, a line with a positive slope,no trend line

A dentist kept a record of the number of new cavities his patients had per year for the last 10 years.

Answers

\(\begin{gathered} \text{when the age increases we see that the average number of new cavities per year tend to decrease, thats why} \\ \text{the trend line of the data is a line with a negative slope; because from the plot, we see that the correlation is } \\ \text{negative, and the slope of the trend line has the same sign as the correlation} \end{gathered}\)

A bank account has an initial balance of $150. Over a one-week period the following occurred.
• $180 was spent on shoes.
• $300 of debt was added to the account as a cash advance.
• $250 of debt was repaid.
• $110 of debt was added because of a bank fee.
• $150 of debt was removed with a cash deposit.
What was the balance of the account at the end of the week?

Answers

To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

Which quadratic equation has a discriminant of 0? x^2 - 12x + 38 = 0. x^2 - 4x + 4 =0.

Answers

The quadratic equation that has a discriminant of 0 is x^2 - 4x + 4 = 0.

The discriminant of a quadratic equation is calculated using the formula b^2 - 4ac, where 'a', 'b', and 'c' are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.

For the quadratic equation x^2 - 12x + 38 = 0, the coefficients are: a = 1, b = -12, and c = 38. Calculating the discriminant, we have:

Discriminant = (-12)^2 - 4(1)(38) = 144 - 152 = -8

Since the discriminant is -8, it is not equal to 0.

However, for the quadratic equation x^2 - 4x + 4 = 0, the coefficients are: a = 1, b = -4, and c = 4. Calculating the discriminant, we have:

Discriminant = (-4)^2 - 4(1)(4) = 16 - 16 = 0

Since the discriminant is 0, this is the quadratic equation with a discriminant of 0.

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2 diagonals of a regular nonagon (a 9-sided polygon) are chosen. What is the probability that their intersection lies inside the nonagon

Answers

The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.

To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.

So the probability of the intersection of the two diagonals lying inside the nonagon is:

P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3

Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

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The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.

In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.

To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.

So the probability of the intersection of the two diagonals lying inside the nonagon is:

P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3

Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.

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the base of a solid is a 3 by 3 square. its cross sections perpendicular to a fixed diagonal of the square are equilateral triangles with one side on the base. find the volume of the solid.

Answers

3x3=9 ksishsisb idowknd your order rwill in our account and your balance was 28837 heishs and it is not available in your account so you 83774

To which number set (s) does the following number belong?
√7
Multiple answers may be correct. Mark all correct answers.

Answers

The number √7 belongs to the set of Irrational numbers. The set of irrational numbers includes numbers such as √2, √3, √5, and π, among others.

An irrational number is a real number that cannot be expressed as a fraction or a ratio of two integers. Instead, it is a non-repeating and non-terminating decimal. The square root of 7 (√7) is an example of an irrational number.

In this case, √7 cannot be simplified or expressed as a fraction because 7 does not have a perfect square root. When √7 is evaluated as a decimal, it is approximately 2.645751311... The decimal representation of √7 goes on indefinitely without repeating or terminating, making it an irrational number.

Therefore, the number √7 belongs to the set of irrational numbers.

In summary, √7 is an example of an irrational number, which is a real number that cannot be expressed as a fraction or ratio of two integers. It is a non-repeating and non-terminating decimal. The set of irrational numbers includes numbers such as √2, √3, √5, and π, among others.

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suppose the matrix, , has eigenvectors , , and whose eigenvalues are , and respectively. then, using the same order, can be written in the form where

Answers

We can write A = PAP where 1 P= and A= where P is an invertible matrix that maps the null space of A to itself.  

To find the matrix P, we need to solve the following system of linear equations:

λ_1 1 = 1

λ_2 (-4) 1 = 1

λ_3 (-1) 1 = 1

The eigenvalues are real and non-negative, so they can be written as λ = λ_1, λ_2, λ_3 = λ_1, -4, -1 respectively.

Using Cramer's rule, we have:

\(λ_1 * 1^T = 1 * 1^T = 1\)

\(λ_2 * (-4)^T = -4 * 1^T = -4\)

\(λ_3 * (-1)^T = (-1) * 1^T = -1\)

Multiplying the first and third equations, we get:

\(-λ_1 * λ_3 = -4 * (-1) = 4\)

Multiplying the second and third equations, we get:

\(-λ_2 * λ_3 = -4 * (-1) = 4\)

Subtracting the second equation from the first, we get:

\(λ_1^2 - λ_2^2 = 1^2 - (-4)^2 = 5\)

Multiplying the first and third equations, we get:

\(-λ_1 * λ_2 = -4 * (-1) = 4\)

Dividing the third equation by the second equation, we get:

\(-1/λ_2 = -1/λ_3\)

Taking the reciprocal of both sides, we get:λ_2 = λ_3

Substituting this into the second equation, we get:

-\(λ_1 * λ_3 = -4 * (-1) * λ_3 = -4\)

Simplifying, we get:

-4 = -4

This equation has no solution, so the matrix A cannot be written in the form A = PAP where 1 P= and A= Thus, the answer is no.  

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Full Question: the matrix, A, has eigenvectors and whose eigenvalues are 1, –4 and – 1 respectively. Then, using the same order, A can be written in the form A = PAP where 1 P= and A=

Which of the following best defines an output? (4 points)

Question 1 options:

1)

An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

2)

An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

3)

An output is a special type of relation for which there is a rule that pairs each input with exactly one output.

4)

An output is a set of ordered pairs in which no y-value repeats.

Answers

Answer:

i go with the first one cause

Step-by-step explanation:

its the only true one

Can someone please help me with this?

Can someone please help me with this?

Answers

Answer:

50

Step-by-step explanation:

If we divide the shape we can get 3 x 10 with equals 30. Then take the remaining which is 2 x 10 and we get 20. Add the two to get 50. The area is 50sq miles.

Hope this helps. pls mark brainliest

Question attached as screenshot below: I'm happy to help as much as I can

Question attached as screenshot below: I'm happy to help as much as I can

Answers

If If the density of vehicles (number per mile) for a 20 miles is given by f(x), where "x" is the distance in miles, then the number of vehicles on this 20 miles stretch can be best represented by the integral [(∫f(x)dx) {0 → 20}]

As per the question statement, the density of vehicles (number per mile) during the evening rush hour for a 20 miles stretch along a certain highway is given by the function f(x), where "x" is the distance in miles, south of mile marker 24,

And we are required to determine the integral that can best represent the number of vehicles on this 20 miles stretch from mile marker 24.

Hence, since the stretch of road extends for 20 miles, we can say that the stretch starts from 0 miles.

Now since the density of vehicles (number per mile) for a 20 miles is given by f(x), where "x" is the distance in miles, the integral that best represents the number of vehicles on this 20 miles stretch will be an integral of f(x) with respect to (dx), on the interval of (0 to 20), i.e.,    [(∫f(x)dx) {0 → 20}].

Integral: In Mathematics and particularly in Calculus, an integral is the procedure to assign numbers to functions in such a way that describes displacement, area, volume, and/or other concepts that results from combination of infinitesimal data.

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5. Find the limit. a) lim X x-+(1/2) 2x-1 6. Find the derivative of the function by the limit process. f(x)=x²+x-3 b) x + 1 lim 2+1

Answers

a) The limit is lim X x-+(1/2) 2x-1 = 3/2

b) The derivative of the function f(x) = x² + x - 3 is f'(x) = 2x + 1.

a) To find the limit of x(2x-1)/2 as x approaches 1/2, we can substitute 1/2 into the expression and evaluate. However, this will result in 0/0, which is an indeterminate form. To solve this, we can use L'Hôpital's rule. L'Hôpital's rule states that the limit of f(x)/g(x) as x approaches a is equal to the limit of f'(x)/g'(x) as x approaches a. In this case, f(x) = x(2x-1) and g(x) = 2. Therefore, the limit of x(2x-1)/2 as x approaches 1/2 is equal to the limit of 2x-1/2 as x approaches 1/2. Substituting 1/2 into the expression, we get 2(1/2)-1/2 = 3/2.

b) To find the derivative of the function f(x) = x² + x - 3 using the limit process, we start by taking the definition of the derivative:

f'(x) = lim (h -> 0) [f(x + h) - f(x)] / h

Substituting the given function, we have:

f'(x) = lim (h -> 0) [(x + h)² + (x + h) - 3 - (x² + x - 3)] / h

Expanding the terms within the limit, we get:

f'(x) = lim (h -> 0) [x² + 2xh + h² + x + h - 3 - x² - x + 3] / h

Simplifying, we have:

f'(x) = lim (h -> 0) [2xh + h² + h] / h

Now, we can cancel out the 'h' term:

f'(x) = lim (h -> 0) [2x + h + 1]

Taking the limit as h approaches 0, we get:

f'(x) = 2x + 1

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Use the following scenario for questions 12-14Alison has $5.10 in quarters and dimes in her piggy bank. She has 27 coins in all.12 Write a system of linear equations to represent the situation.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

piggy bank:

quarters and dimes = $5.10

# quarters and dimes = 27

Step 02:

system of equations:

quarters = q

dimes = d

equation 1:

q + d = 27

equation 2:

0.25q + 0.10d = 5.10

The answer is:

q + d = 27 eq.1

0.25q + 0.10d = 5.10 eq.2

3x-(-3-x)=-1
pls answer this

Answers

3x +3 + x = -1
4x= -4
X= -1

Step-by-step explanation:

Apply rule: 3x+3x =-1

Add similar elements: 6x=-1

Divide both sides by six

Simplify: x= -1/6

What is the decimal value for ⅙

Answers

Answer:0.166

Step-by-step explanation:I used a calculator

an urn has 10 balls that are identical except that 3 are white and 7 are red. a sample of 4 is selected randomly without replacement. what is the probability that exactly 2 are white and 2 are red?

Answers

The probability of selecting exactly 2 white balls and 2 red balls from the urn is 0.3 or 30%.

To find the probability of selecting exactly 2 white balls and 2 red balls from the urn, we need to determine the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

When drawing 4 balls from the urn without replacement, the total number of possible outcomes can be calculated using combinations. We can select 4 balls out of 10 in C(10, 4) ways:

Total outcomes = C(10, 4) = 10! / (4! * (10-4)!) = 10! / (4! * 6!) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) = 210

Favorable outcomes:

To calculate the number of favorable outcomes, we need to determine the number of ways we can select 2 white balls out of 3 and 2 red balls out of 7. We can do this using combinations as well:

Number of ways to select 2 white balls out of 3: C(3, 2) = 3

Number of ways to select 2 red balls out of 7: C(7, 2) = 21

Number of favorable outcomes = C(3, 2) * C(7, 2) = 3 * 21 = 63

Probability:

The probability of selecting exactly 2 white balls and 2 red balls can be calculated by dividing the number of favorable outcomes by the total number of outcomes:

Probability = Number of favorable outcomes / Total outcomes = 63 / 210 = 3 / 10 = 0.3

It's important to note that since the balls are drawn without replacement, the probability of each subsequent draw depends on the outcomes of the previous draws.

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The dinner bill for the Rao family was $58. Mr. Rao left a tip of 15% of the bill. What was the total cost of the family’s dinner?

Answers

Answer: $66.7

Step-by-step explanation:

$58 spent on dinner

Gives 15% of the bill as tip

15% of 58 = 8.7

$58 + $8.7 = $66.7

Betty an her daughter collect needlepoint throw pillows with silly little sayings on them such as Happy as a Gopher in Soft Dirt. On a recent shopping trip, Betty paid a total of $265 for 2 small needlepoint pillows and 5 large ones. Her daughter loved these very same pillows even more, so she spent a total of $635 on 7 of the small ones and 11 of the large ones. How much did the small pillow cost? How much did the large pillow cost?

Answers

Answer:

the small pillows costed $20 and the large pillows costed $45

Step-by-step explanation:

this can be set up were x= price of small pillows and y=price of large pillows

according the the question, 265=2x+5y and 635=7x+11y

so now solve this system of equations:

first solve 265=2x+5y for x

add -2x to both sides

-2x+265=5y

add -265 to both sides

-2x=5y-265

divide both sides by -2

x=(-5/2)y+(265/2)

substitute this value of x in 635=7x+11y and solve for y

635=7((-5/2)y+(265/2)) +11y

y=45

substitute 45 for y in x=(-5/2)y+(265/2)and solve for x

x=20

so the small pillows are $20 and the large are $45

Find x:

A)3

B)2.5

C)4

D)7.5

Find x:A)3B)2.5C)4D)7.5

Answers

Answer:

D

Step-by-step explanation:

Because I said so ho3

there are 3 plots in Kevin's garden. Last year Kevin planted 10 lilies in one plot. This year, there are 30 lilies on each plot. How many total lilies are on Kevin's land now?

Answers

Answer:He used 6 plots of land.

explanation:

total no. of plots =10 (land was divided in 10 equal parts)

used plots = 3/5 of 10 =3/5*10 =6

Step-by-step explanation:

12-89 so it’s 20 thank me later;)

The half-life of iodine-131 is approximately 8 days. Find the amount of iodine-131 left from a 35 gram sample after 32 days.

Answers

Answer:

2.1875 grams

Step-by-step explanation:

32/8=4 times it will divide 1/2

35/2=17.5

17.5/2=8.75

8.75/2=4.375

4.375/2=2.1875

Dave has a board that is
3
1
4
feet long. He cut off
1
7
8
feet from the board.
How long is the remaining piece of board? Use the fraction strips to help.

An image shows two one-whole fraction strips and ten one-eighth fraction strips. One of the one-whole fraction strips and seven of the one-eighth fraction strips are crossed out.

A.
1
1
4
feet

B.
1
3
8
feet

C.
1
1
2
feet

D.
1
7
8
feet

Answers

Answer:

The answer is 1 3/8 (B)

Step-by-step explanation:

3 1/4 - 1 7/8 = 1 3/8

Answer:

the answer is B 1/38

Step-by-step explanation:

Please help i need it done rn !!
God Bless

Please help i need it done rn !!God Bless

Answers

Answer: It C. 5

Step-by-step explanation: each sun is two and the half sun is 1 so 2+2+1 is 5

Please mark me brainliest

Answer:

its c 5

Step-by-step explanation:

Solve for x. x = -x

not possible
0
1
-1

Answers

0 could possibly be the answer

|4x+8|> 2
what is the answer

Answers

Step-by-step explanation:

|4x + 8| > 2

Therefore 4x + 8 > 2 or 4x + 8 < -2.

When 4x + 8 > 2, 4x > -6, x > -1.5.

When 4x + 8 < -2, 4x < -10, x < -2.5.

Hence, x < -2.5 or x > -1.5.

Answer:

x= -3/2

4x < -6

x = -3/2

.............

Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?

Please help 60 points for a rapid answer-In the figure below which of the following is true in circle
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle

Answers

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Match each quadratic function in factored form with its solutions on the right.
1) f(x) = (x - 2)²
2) g(x) = (x + 2)(x - 1)
3) y = (2x-1)(3x + 4)
4) y = 3x(x-3)
A) x = 1/2,-
B) x = 0,3
C) x = 2
D) x = -2,1

Answers

We can match the quadratic functions in factored form with their solutions in this way:

1) 1) f(x) = (x - 2)² is C) x = 2.

2) g(x) = (x + 2)(x - 1) is D) x = -2, 1

3) y = (2x-1)(3x + 4) is A) x = 1/2, -4/3

4) y = 3x(x-3) is B) x = 0, 3

How to solve the quadratic functions?

Here, the quadratic functions are already in factored form. So, we shall use the zero product property to solve the functions.

1) f(x) = (x - 2)²

x = 2 (multiplicity 2)

Let's set the expression equal to zero and solve for x:

(x - 2)² = 0

x - 2 = 0

x = 2

2) g(x) = (x + 2)(x - 1)

Here, we will use the zero product property again:

(x + 2)(x - 1) = 0

x + 2 = 0, x - 1 = 0

x = -2, x = 1

3) y = (2x-1)(3x + 4)

Also, we apply the zero product property and solve for x:

2x-1 = 0, 3x + 4 = 0

2x = 1, 3x = -4

x = 1/2, x = -4/3

4) y = 3x(x-3)

We will use the zero product property:

3x = 0, x - 3 = 0

x = 0, x = 3

Therefore, the solutions to the quadratic functions are:

1) f(x) = (x - 2)² is C) x = 2

2) g(x) = (x + 2)(x - 1) is D) x = -2, 1

3) y = (2x-1)(3x + 4) is A) x = 1/2, -4/3

4) y = 3x(x-3) is B) x = 0, 3

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Using the numbers 1 to 9 (one time each), fill in the boxes to make
the equation true.
0:0=00:0=00:00

Using the numbers 1 to 9 (one time each), fill in the boxes to makethe equation true.0:0=00:0=00:00

Answers

Using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

What do you mean by proportion?

An arithmetic contrast among two numbers is known as a percentage. Two sets of provided numbers are considered to be approximately equal with respect to one another in conformity with the rules of proportion if they increase or decrease by the same ratio.

We must create the equation to prove the equality by utilizing each of the numerals 1 through 9 once. Any of the numbers between 1 and 9 are equivalent to 1 and 2.

Let the ratio equal 1.

The comparable ratios are therefore 1:1, 2:2, and 3:3.

2:2 = 3×3:9 = 4×4 =16

Therefore, using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

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