Let a and b be real numbers, where a + b +0.
Which of the following functions could represent
the graph on the right?
f(x) = x (x – a)(x – b)2
f(x) = (x – a)(x – b)2
f(x) = x(x – a)º(x – b)
f(x) = x2(x -a) 2x - b)2​

Answer:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

Ans:- three and one fourth + 2x ≥ 6

Answer:

1) 38.9%

Step-by-step explanation:

There are 18 total pieces of candy, 4 of which are blue, and 3 of which are yellow. So the probability of randomly selecting one blue or one yellow piece of candy is

\( \frac{3}{18} + \frac{4}{18} = \frac{7}{18} = 38.9\%\)

Answer:

L x W = 432

Step-by-step explanation:

18 X 24 = 432

Answer:

1.33%

Step-by-step explanation:

$9.74 - $9.61 = $0.13

(0.13 divided by $9.74) times 100

=1.33%  

\(12 \times 12 = 144\)

Hope I work my brain.

Answer:

Step-by-step explanation:

12 * 12 =

There are 12 sets of 12, then you add it all

12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

24 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

36 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

48 + 12 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

60 + 12 + 12 + 12 + 12 + 12 + 12 + 12 =

72 + 12 + 12 + 12 + 12 + 12 + 12 =

84 + 12 + 12 + 12 + 12 + 12 =

96 + 12 + 12 + 12 + 12 =

108 + 12 + 12 + 12 =

120 + 12 + 12 =

132 + 12 =

#IndonesianPride - kexcvi

Answer:

answer

Step-by-step explanation:

Simplifying

4y = 4x + -28

Reorder the terms:

4y = -28 + 4x

Solving

4y = -28 + 4x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '4'.

y = -7 + x

Simplifying

y = -7 + x

To show that Circle A is similar to Circle B, we can use the following steps:

Translate Circle A: We can translate Circle A using the rule (x + 3, y - 2) to obtain a new circle A' with center (7, 3) and radius 3.

Dilate Circle A: Next, we can dilate Circle A' by a scale factor of 3 to obtain a new circle A" with center (7, 3) and radius 9.

Rotate Circle A": We can then rotate circle A" 90° about its center to obtain a new circle A'" with center (3, 7) and radius 9.

Reflect Circle A'": Finally, we can reflect Circle A'" over the y-axis to obtain a circle that has the same dimensions as Circle B.

Therefore, we have transformed Circle A into a circle that is congruent to Circle B by performing a sequence of translations, dilations, rotations, and reflections. This shows that Circle A is similar to Circle B.

To show that two circles are similar, we need to demonstrate that they have the same shape but possibly different sizes. This means that we can transform one circle into another using a combination of translations, dilations, rotations, and reflections.

In this case, we started by translating Circle A to obtain a new circle A' with a different center but the same radius. We then dilated Circle A' by a scale factor of 3 to obtain a new circle A" with a larger radius.

Next, we rotated Circle A" 90° about its center to obtain a new circle A'" with a different orientation but the same radius. Finally, we reflected Circle A'" over the y-axis to obtain a circle that has the same dimensions as Circle B.

By performing these transformations, we have shown that Circle A and Circle B have the same shape but different sizes, which means they are similar.

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To determine the truth value of the statement (p V-9) A r using the conditions provided, we can substitute the given truth values for p, q, and r into the statement.

a) p is false, q is true, and r is true:
(p V-9) A r = (false V-9) A true
= (-9) A true
= true

Therefore, the truth value of (p V-9) A r is true when p is false, q is true, and r is true.

b) p is true, q is false, and r is true:
(p V-9) A r = (true V-9) A true
= true A true
= true

Therefore, the truth value of (p V-9) A r is also true when p is true, q is false, and r is true.
In summary, the truth value of (p V-9) A r is always true, regardless of the truth values of p, q, and r.

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Answer:

Amsterdam and Drachten are equal distance from sea level

Step-by-step explanation:

Sea level is 0 Drachten is 2, amsterdam is -2. they are both 2 away form sea level.

Answer:

$-21

Step-by-step explanation:

Since she is paying $6 for 4 weeks, in total she will pay:

6 x 4 = $24

She has an initial balance of $-45 Because she is in debt

Therefore you just need to add it all up

-45 + 24 = $-21

Answer:

-24

Step-by-step explanation:

6 x (-4) = 24

The given statement "the probability of an earth-impacting asteroid causing a person's death" is empirical probability, which is based on observations and data.

Empirical probability, also known as experimental probability, is based on observations or data. It involves collecting data through repeated trials of an experiment and calculating the probability of an event based on the frequency of its occurrence.

Subjective probability, also known as personal probability, is based on personal judgment or belief. It reflects an individual's degree of belief in the likelihood of an event occurring, based on their own knowledge and experience.

Now, let's classify the statement in the prompt. The statement is "the probability of an earth-impacting asteroid causing a person's death is." We can see that the statement does not specify which type of probability is being used.

In conclusion, probability is a crucial concept in mathematics and science, and there are different types of probability, including classical, empirical, and subjective probability.

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Step-by-step explanation:

The formula for probability is favourable outcome/ Total outcome. So the answer might be 7/30.

Given that \(`h(x) = f(x)g(x) / f(x) + g(x)`\), we are required to find the value of `h'` in terms of `f'` and `g'`.In order to find the derivative of `h(x)`, we have to apply quotient rule of differentiation.

i.e., \(`d/dx (f(x) / g(x)) = [f'(x)g(x) - g'(x)f(x)] / [g(x)]²\)`.Let's apply quotient rule to find \(`h'`:`h(x) = f(x)g(x) / f(x) + g(x)\)`We can write this as:`\(h(x) = (f(x) / [f(x) + g(x)]) × (g(x))`\)Now, applying product rule, we have:\(`h'(x) = [(f'(x)[f(x) + g(x)] - f(x)[f'(x) + g'(x)]) / [f(x) + g(x)]²] × (g(x)) + [(f(x) / [f(x) + g(x)]) × g'(x)]\)`Simplifying this, we get:`\(h'(x) = [f'(x)g(x)[f(x) + g(x)] - f(x)g'(x)[f(x) + g(x)]] / [f(x) + g(x)]² + [f(x)g'(x)] / [f(x) + g(x)]²`\)Hence, we have found `h'` in terms of `f'` and `g'`.The above explanation is more than 100 words.

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Answer: 2/3 or 1/3

Step-by-step explanation: If we have a cake that has a total of 12 pieces, and we gave four to someone else we would have 8/12 pieces left. Now if we simplify then we would have 2/3 left.

Alternate explanation: Now if we just want to divide 4/12 then we would have 1/3.

I'm happy to help let me know if I'm wrong!

Answer:

x = 2 sqrt(7)

Step-by-step explanation:

since the right triangles are similar

hyp       leg

------ = ---------

leg      part

(6+8)        x

--------- = ----------

x                 2

Using cross products

x^2 = (6+8) *2

x^2 = 28

Take the square root of each side

x = sqrt(28)

x = sqrt(4) sqrt(7)

x = 2 sqrt(7)

Answer:

x= 69420

Step-by-step explanation:

bc it can be

The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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Answer:

⅓ ×½ which will give you ⅙

Step-by-step explanation:

because

The probability that Manu will win the coin flip amongst others is 4/7

To determine the probability that Manu will win, we need to consider the possible outcomes of the coin flips.

Let's break down the scenarios:

Scenario 1: Manu wins on the first flip

- The probability of Manu winning on the first flip is 1/2, as he needs to flip heads right away.

Scenario 2: Manu wins on the second flip

- Juan flips tails (1/2 probability)

- Carlos flips tails (1/2 probability)

- Manu flips heads (1/2 probability)

- The probability of Manu winning on the second flip is (1/2) * (1/2) * (1/2) = 1/8.

Scenario 3: Manu wins on the third flip

- Juan flips tails (1/2 probability)

- Carlos flips tails (1/2 probability)

- Manu flips tails (1/2 probability)

- Juan flips heads (1/2 probability)

- Carlos flips heads (1/2 probability)

- Manu flips heads (1/2 probability)

- The probability of Manu winning on the third flip is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/64.

The pattern continues, and we can see that Manu's probability of winning decreases exponentially with each subsequent flip.

Therefore, the total probability of Manu winning is the sum of the probabilities from each scenario:

1/2 + 1/8 + 1/64 + ...

This is an infinite geometric series with a first term (a) of 1/2 and a common ratio (r) of 1/8.

Using the formula for the sum of an infinite geometric series:

Sum = a / (1 - r)

Sum = (1/2) / (1 - 1/8)

Sum = (1/2) / (7/8)

Sum = (1/2) * (8/7)

Sum = 4/7

Therefore, the probability that Manu will win is 4/7.

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Answer:

y = 6.5

Step-by-step explanation:

Using a ratio

10           13

-----    = -----------

10+5      13+y

10           13

-----    = -----------

15        13+y

Using cross products

10(13+y) = 13*15

10(13+y) = 195

130+10y = 195

Subtract 130 from each side

10y = 65

Divide by 10

y = 65/10

y = 6.5

The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.

Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).

By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.

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A table whose frequencies match two variables is known as a contingency table.

Correct option: d

It is a data table that is employed particularly in the research of the correlation between variables. The row entries tabulate the data according to one variable, while the column entries tabulate it according to another variable.

Contingency tables give a simple and basic representation of how two or more variables interact and may be used to identify their interactions. The table displays one categorical variable's distribution in rows and another categorical variable's distribution in columns.

The associations between two or more categorical variables are described in a contingency table, sometimes referred to as a cross-classification table.

A table whose frequencies match two variables is known as a contingency table.

Thus, correct option is: d

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Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

\( {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9\)

Thus the cube root of the larger number is 9.

Building and solving an equation, it is found that the cube root of the larger number is 9.

-------------------------

\(x^3 - y^3 = 386\)

\(x^3 - y^3 = 386\)

\(x^3 - 7^3 = 386\)

\(x^3 - 343 = 386\)

\(x^3 = 386 + 343\)

\(x^3 = 729\)

\(x = \sqrt[3]{729}\)

\(x = 9\)

Thus, the cube root of the larger number is 9.

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*dot plot is shown in the attachment below

Answer:

Mean = 6.3

Median = 6

Step-by-step explanation:

Measures of centre, mean and median, can be calculated as follows:

First, bear in mind that each dot represents a value in the data set.

==>Mean:

Mean is the sum of all values in the data set divided by the number of data set we have.

The sum can be calculated as follows:

0 (1) = 0

4 (3) = 12

5(8) = 40

6(3) = 18

7(1) = 7

8(5) = 40

9(2) = 18

10 (3) = 30

Sum = 0+12+40+18+7+40+18+30 = 165

No of data set = 26

Mean = 165/26 = 6.346 ≈ 6.3 (nearest tenth place)

==>Median: this is the middle value in the data set. Since the number of data set is even number (26) , the middle value lies between the 13th and 14th data points. The average of the 13th and 14th data points will give us the median value.

Thus, the 13th and 14th values are both 6.

Therefore, median = (6+6) ÷ 2 = 6

Answer:

The mode is 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.

Step-by-step explanation:

change wording

The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:

304.26 feet.

The three trigonometric ratios are defined as follows:

The parameters for this problem are given as follows:

Hence the distance is obtained applying the tangent function as follows:

tan(60º) = 527/x

x = 527 / tangent of 60 degrees

x = 304.26 feet.

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Answer:

1539/4 (improper fraction) or 384 3/4 (simplified fraction)

Step-by-step explanation:

To find the improper fraction, write 384.75 as a fraction:

384.75/1

Then, since you have 2 decimal places after the ., multiply the entire fraction by 100:

38475/100

Next, find the GCF, which is 25, and simplify this fraction to find the final improper fraction:

1539/4

To find the simplified fraction, we already have the whole number, 384, so we have to convert 0.75 to a fraction which is 3/4, because 0.75 is 3/4 of 100:

384 3/4

Hope this helps :)

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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No, Sophia's claim is not valid because Make each dimension 2 (doubling it) and the surface area is not 2 times first prism.

And, Surface area is, 33,750 in²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Sophia claims that if she doubles the lengths of each of the 7⅓ inch edges of the prism, then she doubles the surface area of the prism.

Now, We know that;

Sophia's claim is not valid because Make each dimension 2 (doubling it) and the surface area is not 2 times first prism.

We know that;

Surface area of rectangular prism = 2 (lw + hl + hw)

So, If lengths of each of the 75-inch edges of the prism.

Then, the surface area is,

Surface area of rectangular prism = 2 (lw + hl + hw)

                                                    = 2 (75×75 + 75×75 + 75×75)

                                                    = 2 × 3 × 75 × 75

                                                    = 33,750 in²

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Answer:

8. x-1=5

9. x/2=8

Step-by-step explanation:

x is the unknown number

less means subtract

quotient means divide