need these asap PLEASE

Answer:

The answer is no solution because these two lines have the same slope, meaning they are parallel. Parallel lines never intersect.

Answer:

No solution.

Step-by-step explanation:

Because y equals 7/2x-3, and 7/2x+3, we can say that both of these equations are equal to each other.

Thus, we have 7/2x-3=7/2x+3

(7/2)x-6=(7/2)x

x-6=x

-6=0

This is a false statement, so therefore this system of equations has no solution.

However, you can clearly see this as these lines are parallel lines as they have the same slope, 7/2. The solution to  a system of equation is the intersecting point, but as we know about parallel lines they  never intersect!

Hope this helps!

Answer:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660

Step-by-step explanation:

Money he has:

$660 "Omar has $660 to spend "

Money he spends:

$330.64 "A new bicycle for $330.64." $330.64 +

+2· $15.34 "He buys 2 bicycle reflectors for $15.34 each"

+$34.47 "a pair of bike gloves for $34.47."

+x·$36.30 "new biking outfits for $36.30 each", where x-is the number of outfits he can buy

$330.64 +2· $15.34+$34.47 + $36.30·x

The inequality that can be used to determine x, the maximum number of outfits Omar can purchase while staying within his budget is:

$330.64 +2· $15.34+$34.47 + $36.30·x ≤ 660

The maximum number of outfits he can buy is:

330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660, we first do multiplication 2·15.34

330.64 + 30.68 + 34.47 + 36.30·x ≤ 660, add like terms

395.79 +36.30x ≤ 660, subtract 395.79 from both sides

36.30x ≤ 660 - 395.79, combine like terms 660 - 395.79

36.30x ≤ 264.21, divide both sides by 36.30

x ≤ 264.21/36.30, divide and round to the nearest hundredths

x ≤ 7.28

To stay on budget Omar can buy 7 outfits.

Multiplication expression used is 16 ×\(\frac{5}{4}\).

A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by 1/x or x1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number. When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfils the formula: 2 x 2-1

2 x \(\frac{1}{2}\)= 1. It is also known as a number's reciprocal.

Given Data

16 ÷ \(\frac{4}{5}\)

Reciprocating,

16 × \(\frac{5}{4}\)

Simplifying,

4(5)

20

Multiplication expression used is 16 ×\(\frac{5}{4}\)

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Answer:

10

Step-by-step explanation:

Using Euler's formula for polyhedra

F + V - E = 2

Here V = 16 and E = 24, thus

F + 16 - 24 = 2, that is

F - 8 = 2 ( add 8 to both sides )

F = 10

Answer:

b

Step-by-step explanation:

on edge 2021

The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

From the question, we have the following parameters that can be used in our computation:

x   f(x)

-1   3

1     6

2    5

3    7

7   8

Using the above as a guide, we have the following:

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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The most effective method to find local minimum and maximum values of a function is by using the derivative and the second derivative test. The derivative helps identify critical points, and the second derivative test determines if they are local minimum or maximum values.

To find the local minimum and maximum values of a function, you can use several methods:

a. Derivative: One way to find local minimum and maximum values is by taking the derivative of the function and finding the critical points. Critical points occur where the derivative is equal to zero or undefined. To determine if a critical point is a local minimum or maximum, you can use the second derivative test. If the second derivative is positive at the critical point, it is a local minimum. If the second derivative is negative, it is a local maximum.

b. Integral: The integral of a function can give you information about the behavior of the function. However, it does not directly provide the local minimum and maximum values.

c. Limit: Taking the limit of a function can provide information about its behavior at certain points. However, it does not directly give the local minimum and maximum values.

d. Inflection point: An inflection point is a point on the graph of a function where the concavity changes. It is not directly related to finding local minimum and maximum values.

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x2=36

We move all terms to the left:

x2-(36)=0

We add all the numbers together, and all the variables

x^2-36=0

a = 1; b = 0; c = -36;

Δ = b2-4ac

Δ = 02-4·1·(-36)

Δ = 144

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ‾‾√=144‾‾‾‾√=12

x1=−b−Δ√2a=−(0)−122∗1=−122=−6

x2=−b+Δ√2a=−(0)+122∗1=122=6

9514 1404 393

Answer:

  x = -6 or +6

Step-by-step explanation:

You know from your multiplication tables that 6×6 = 36, so one answer is ...

  x = 6

You also know that the product of two negative numbers is positive, so another answer is ...

  x = -6

__

Check

  x² = 6² = 6×6 = 36

  x² = (-6)² = (-6)×(-6) = 36

_____

Alternate approach

If you like, you can rewrite the equation as ...

  x² -36 = 0

This can be factored to ...

  (x -6)(x +6) = 0

The zero product rule tells you this product will only be zero if one or the other factors is zero.

  x -6 = 0   ⇒   x = 6

  x +6 = 0   ⇒   x = -6

The two solutions are x = ±6.

To approximate the probability of having between 50 and 60 bad days in a year, we can use the Poisson distribution as an approximation.

Let's define the random variable X as the number of bad days in a year. Since the waiting time for the first customer follows an exponential distribution with a rate parameter of 1/10 (mean of 10 minutes), we can consider each day as a Bernoulli trial with a success (bad day) probability of P(X = 1) = P(waiting time > 20 minutes).

The probability of a bad day can be calculated using the exponential distribution as :\(P(X = 1) = ∫[20, ∞] (1/10)e^(-t/10) dt\)

To approximate the number of bad days in a year, we can assume that the number of bad days follows a Poisson distribution with parameter λ = 365 * P(X = 1). The mean and variance of the Poisson distribution are both equal to λ.

Using this approximation, we can calculate the probability of having between 50 and 60 bad days in a year by summing the probabilities of X taking values from 50 to 60 using the Poisson distribution with parameter λ.

This approximation is valid because the Poisson distribution is often used to model rare events with a low probability of occurrence, and in this case,  the assumption of independence between the waiting times for different days allows us to use the Poisson distribution.

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Answer:

24

Step-by-step explanation:

3 * 2 = 6 * 4 = 24

Answer: 48

Step-by-step explanation:

3 x 2^4 =3 x 16 = 48

The current age of Jenny is 6 years.

Let the current age of Phil be = x years

So the current age of Bill is = 2x years

The current age of Jenny is = 2x-2 years

Sum of their ages is = x+2x+2x-2 = 5x-2 years

Now the age of their dad is = 2(5x-2) = 10x-4 years

Now after nine years,

Age of Phil = x+9

Age of Bill = 2x+9

Age of Jenny = 2x-2+9 = 2x+7

Sum of their ages = x+9+2x+9+2x+7 = 5x+25

New age of their father = 10x-4+9 = 10x+5

According to question, the required linear equation to solve the question is,

5x+25 = 10x+5

5x = 20

x = 4

Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years

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The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph is given below.

The factor of the function will be  

(x - 0), (x - a), (x - b), and (x - c)

Then the function will be

Then the function can be written as

f(x) = x²(x - a)²(x - b)(x - c)

Then the correct option is A.

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Answer:

The answer on Edge is Choice A

Step-by-step explanation:

Answer:

here are 1000 meters in a kilometer so the conversion factor is 1000. To change within the metric system it is helpful to visualize the metric system ... Going up the staircases moves the decimal point one place to the left for each step. ... to convert 65 km to metres, you choose the conversion factor

Step-by-step explanation:

The solution to the equation is x ≈ -1.1 (rounded to one decimal place).

To solve the equation 3.4 = 5.1(3.7x + 4.7) for x, we can follow these steps:

Distribute 5.1 to the terms inside the parentheses:

3.4 = 5.1 * 3.7x + 5.1 * 4.7

Simplify the right side of the equation:

3.4 = 18.87x + 24.57

Subtract 24.57 from both sides to isolate the term with x:

3.4 - 24.57 = 18.87x

Combine the numbers on the left side:

-21.17 = 18.87x

Finally, divide both sides by 18.87 to solve for x:

x = -21.17 / 18.87

Calculating this division gives us:

x ≈ -1.121

Therefore, The solution to the equation is x ≈ -1.1 (rounded to one decimal place).

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There is no significant evidence to conclude that the proportion of all pet owners who speak to their pets on an answering machine or telephone is lower than 45%.

x =63

n =150

P =0.45

\(\hat{p} & =\frac{x}{n} \\\) = 63/150 = 0.42

Null and alternative hypothesis:

\($$\begin{aligned}& H_0: P=0.45 \\& H_a: P < 0.45 \quad \text { (Left tailed test) }\end{aligned}$$\)

Significance level: \($\alpha=0.05$\)

Test statistic:

Under the null hypothesis, the test statistic for one sample proportion will be

\($$\begin{aligned}z_0 & =\frac{\hat{p}-P}{\sqrt{\frac{P(1-P)}{n}}} \\& =\frac{0.42-0.45}{\sqrt{\frac{0.45(1-0.45)}{150}}} \\& =-0.74\end{aligned}$$\)

P-value:

\(p & =P+( z_0) \\& =P+(z_0) \\& =P+(-0.74) \quad \quad \text { (Standard normal tables) } \\& =-0.29\)

Decision rule:

Reject H_0, if \($p \leq \alpha$\) otherwise do not reject H_0.

Since the p-value is greater than the level of significance, so we fail to reject the null hypothesis at 5% significance level.

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Answer:

no

Step-by-step explanation:

Substitute x = 0 into the equation and if the value is 1 ( the y- coordinate ), then it is a solution.

y = 5(0) = 0 ≠ 1

Then (0, 1 ) does not satisfy the equation

Answer:

No. y=5x means that y has to be 5 times x

e.g. (0,0), (1,5), (2,10), (3,15)

Answer:

y=3/2x+6

Step-by-step explanation:

Slope-intercept form: y=mx+b

Slope: (y2-y1)/(x2-x1)

(-2, 3) and (2, 9)

6/4

3/2

Y intercept, (0, 6)

y=3/2x+6

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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didn't really get it but I think it's 2.38 m/s

Answer:

The speed at the first quarter checkpoint is

✔ 1.10 m/s.

The speed at the second quarter checkpoint is

✔ 1.93 m/s.

The speed at the third quarter checkpoint is

✔ 2.38 m/s.

The speed at the finish line is

✔ 2.82 m/s.

Answer:

2

2

+

1

2

−

5

4

2

(

2

+

6

−

2

7

)

Step-by-step explanation:

Answer:

Corresponding and x = 5

Step-by-step explanation:

To solve for x set the two equations equal to each other

5x+23 = 7x+13

10 = 2x

x = 5

The equation of the parabola that defines the edge of the ski is y = 0.015x^2 + 0.06x + 1.

The general form for the equation of a parabola is y = ax^2 + bx + c. To find the equation of the parabola that defines the edge of the ski, we can substitute the given points into this equation.

Using the first point (-4,1):
1 = a(-4)^2 + b(-4) + c

Using the second point (-2,0.94):
0.94 = a(-2)^2 + b(-2) + c

Using the third point (0,1):
1 = a(0)^2 + b(0) + c

Simplifying these equations, we get a system of linear equations:

16a - 4b + c = 1  (Equation 1)
4a - 2b + c = 0.94  (Equation 2)
c = 1  (Equation 3)

To solve this system, we can use the method of substitution. Substituting Equation 3 into Equations 1 and 2, we get:

16a - 4b + 1 = 1  (Equation 4)
4a - 2b + 1 = 0.94  (Equation 5)

Simplifying Equations 4 and 5, we get:

16a - 4b = 0  (Equation 6)
4a - 2b = -0.06  (Equation 7)

Multiplying Equation 7 by 4, we get:

16a - 8b = -0.24  (Equation 8)

Subtracting Equation 6 from Equation 8, we eliminate the variable a:

16a - 8b - (16a - 4b) = -0.24 - 0
-4b = -0.24

Solving for b, we find b = 0.06.

Substituting the value of b into Equation 6, we find:

16a - 4(0.06) = 0
16a - 0.24 = 0
16a = 0.24
a = 0.015

Finally, substituting the values of a and b into Equation 3, we find:

c = 1

Therefore, the equation of the parabola that defines the edge of the ski is y = 0.015x^2 + 0.06x + 1.

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Answer:

try 4

Step-by-step explanation:

hope this helps

Answer:

4

Step-by-step explanation:

The ocean freight charges for the given shipment in Canadian dollars would be approximately 603.25 CAD.

To calculate the ocean freight charges in Canadian dollars for the given shipment, we need to follow these steps:

Step 1: Calculate the volume and weight of each cargo item:

For the skids of Apple:

Volume = 100 cm x 100 cm x 150 cm

= 1,500,000 cm³

= 1.5 m³

Weight = 400 kg each x 2

= 800 kg

For the boxes of Orange:

Volume = 35" x 25" x 30"

= 26,250 cubic inches

= 0.4292 m³

Weight = 100 kg each x 3

= 300 kg

Step 2: Calculate the total volume and weight of the shipment:

Total Volume = Volume of Apples + Volume of Oranges

= 1.5 m³ + 0.4292 m³

= 1.9292 m³

Total Weight = Weight of Apples + Weight of Oranges

= 800 kg + 300 kg

= 1,100 kg

Step 3: Convert the ocean freight rate to Canadian dollars:

Ocean freight rate to Mumbai = $250 USD / m³

Conversion rate: 1 USD = 1.25 CAD (Canadian dollars)

Freight rate in CAD = $250 USD/m³ x 1.25 CAD/USD

= 312.5 CAD/m³

Step 4: Calculate the freight charges for the shipment:

Freight charges = Total Volume x Freight rate in CAD

Freight charges = 1.9292 m³ x 312.5 CAD/m³

= 603.25 CAD

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The zeros of the given polynomial are x=1, x= -3 , x = 2+i and x=2-i

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given function:

\(f(x)=x^4-2x^3-6x^2+22x-15\)

Set f(x)=0 and find x values

\(0=x^4-2x^3-6x^2+22x-15\)

=> \(x^4-2x^3-6x^2+22x-15=0\)

Factor left side expression:

When x=1, the polynomial on left side becomes zero

So, x-1 is a factor according to factor theorem

Divide the polynomial by x-1 using long division method, we get

Quotient = \((x^3-x^2-7x+15)\)

So, \(x^4-2x^3-6x^2+22x-15 = (x-1)(x^3-x^2-7x+15)\)

For x= -3, the cubic polynomial becomes zero

(x-(-3) = (x+3) is a factor of \((x^3-x^2-7x+15)\)

Divide the cubic polynomial by x+3 using long division method, we get

Quotient = x²-4x+5

\(x^4-2x^3-6x^2+22x-15 = (x-1)(x+3) (x^2-4x+5 )\)

Thus, we have

\((x-1)(x+3) (x^2-4x+5 )=0\)

=> x-1=0,  x=1

x+3=0 => x=-3

Two zeros are x=1, x=3

Find other 2 zeros by solving  x²-4x+5 =0

Use quadratic formula:

x = [ -b ± √(b² - 4ac ) ] /(2a)

On comparing with ax²+bx+c=0 , a=1, b= -4, c=5

We have

x = [ -(-4) ± √((-4)² - 4(1)(5) ) ] /(2*1)

On simplifying, x = 2+i, x=2-i

So, the zeros of the given polynomial are x=1, x= -3 , x = 2+i and x=2-i

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Answer:

No

Step-by-step explanation:

To have a triangle you have to add up the two shorter sides and it should be greater than or equal to the longest side.

12 + 14 = 26

26 is less than 27

Summary:

(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent

(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:

c1v1 + c2v2 + c3v3 = 0,

where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:

c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.

Simplifying this equation, we get the following system of equations:

3c1 + c2 + αc3 = 0,

7c1 + 4c2 + c3 = 0,

7c1 + 4c2 + c3 = 0.

We can solve this system of equations to find the value of α that satisfies the condition.

(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.

To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.

By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.

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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.

(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.

(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.

By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].

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The situation can be solved by determining the probability of the selecting a certain color marble.

Probability is the ratio of a favorable outcome x to the total number of outcomes n of an event. In the give case, if the prediction is correct, you get a dollar.

Probability=x/n

On the first draw, the chance that predicted color is drawn is:

Probability=2/4=1/2

Amount you may get is ½*1=1/2

On the second draw, the chance the color with two left balls is predicted and come out:

Probability=2/3

Amount you may get is 2/3*1=2/3

On the third draw, you predicted a color with no same color balls left:

Probability=1/3

Amount you may get is 1/3*1=1/3

Or you predicted a color with two different color balls left

Probability=2/3*1/2=2/6=1/3

Amount you may get is 1/3*1=1/3

On the fourth draw, the probability of correct predicted ball is 1

Amount you may get is 1=1

If you played the game optimally, summing up the amount=1/2+2/3+1/3+1/3+1=17/6≈2.88

Hence, by playing the game optimally, the expected value of the game is $2.88.

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Answer:

4x^2+10x-2=0

Step-by-step explanation:

So the total area of mirror: 2*3 = 6 ft sq

8-6 = 2 ft sq is the area of the frame

x is the thickness of the frame

so we have (2*x)*2+(3*x)*2+x*x*4= 2

4x+6x+4x^2=2

-> 4x^2+10x-2=0