Willa receives a commission of $1,020 for selling a car. If the commission is 5% of the selling price, what is the selling price of the car?

Answer:

[tex]\begin{pmatrix}6&-5\\ 0&-2\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]2\begin{pmatrix}2&-3\\ 1&-1\end{pmatrix}=\begin{pmatrix}4&-6\\ 2&-2\end{pmatrix}[/tex]

[tex]\begin{pmatrix}4&-6\\ 2&-2\end{pmatrix}+\begin{pmatrix}2&1\\ -2&0\end{pmatrix}[/tex]=

[tex]\begin{pmatrix}6&-5\\ 0&-2\end{pmatrix}[/tex]

Answer:

x| = 78.7 is satisfied by both x = 78.7 and x = -78.7.

Step-by-step explanation:

Using translation concepts, the graph of f(x) is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is given by:

f(x) = |x|

Which has the graph in the format of a V centered at the origin.

The translated function is given by:

g(x) = -1/2|x + 4| + 2.

The translations are as follows:

Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.

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Answer:

a= -0.8 and a= 0.8

Step-by-step explanation:

this questions wants u to find a perfect square for numbers if its difficult becuz of the decimals I suggest u move it and bring it back in your final answer

Answer:

  y = {-1/4 for x < -3; +1/4 for x > -3}

  see attached for a graph

Step-by-step explanation:

You want the function y = |x+3|/(4x+12) written as a piecewise function and graphed.

The absolute value function resolves into two pieces, each with its own domain. These let you write the function as a piecewise function.

When (x+3) < 0, the absolute value function negates this value:

  y = -(x+3)/(4(x+3)) = -1/4 . . . . . for x < -3

When (x+3) ≥ 0, the absolute value function does nothing. That means the equation becomes ...

  y = (x +3)/(4(x +3))

When the denominator is zero, the function is undefined. When the denominator is not zero, the function becomes ...

  y = 1/4 . . . . . for x > -3

Then the definition of the piecewise function is ...

  [tex]y=\begin{cases}-\dfrac{1}{4},&x < -3\\\dfrac{1}{4},&x > -3\end{cases}[/tex]

The graph is attached.

Answer:

Solutions in Attached Photo.

Step-by-step explanation:

To find the inverse of a function , we first solve for x in terms of y, then swap back x and y to get the inverse.

Answer:

The answer is given in attached file.

Step-by-step explanation:

Answer:

$19

Step-by-step explanation:

56x9=504

523-504=19

Answer:

-3x+14

Step-by-step explanation:

Answer:

yes.

Step-by-step explanation:

Hank added 455.00 more to his bank account. The Total change in Hanks bank account is $455

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Hank, the owner of Hank's Hot Dog Hut, deposited $175 this morning from his late-night sales. In  afternoon, he deposited another $280 from lunch sales.

We need to Just add 175 and 280

175 + 280

455

Therefore, Hank added 455.00 more to his bank account.

Hence The Total change in Hanks bank account is $455

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The complete question is

Hank, the owner of Hank's Hot Dog Hut, deposited $175 this morning from his late-night sales. This afternoon, he deposited another $280 from lunch sales.

What was the total change in Hank's bank account relative to where it started?

The cost of the each stamp is a 4$ and the 9$.

According to the statement

We have to find that the cost of the each stamp.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

Neil needs to mail a USB drive to a friend. He uses 43-cent stamps and 8-cent stamps to pay $2.01 in postage.

Then

48x + 7y = 255

let the value of the two unknowns.

Then

If x = 1, then y = 29.57, which is not a whole number.

If x = 2, then y = 122.71, which is not a whole number.

If x = 3, then y = 15.86, which is not a whole number.

If x = 4, then y = 9, which a a whole number.  This is a solution

And we know that the answer will be in a whole number.

So, The cost of the each stamp is a 4$ and the 9$.

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Given : a = -10 and b = -4

To prove : a - b ≠ b - a

Proof : To put the values according to question,

Hence verified

The mean and the variance of the given discrete distribution are as follows:

The distribution of waiting times is missing, and is given by the image at the end of the answer.

The question is also incomplete, but it asks for the mean and the variance of the distribution.

Hence, from the distribution off the image, considering the percentages as the probabilities, the mean is given by:

E(X) = 0.0299 x 1 + 0.1026 x 2 + 0.1496 x 3 + 0.2265 x 4 + 0.1581 x 5 + 0.1368 x 6 + 0.0769 x 7 + 0.0214 x 8 + 0.0299 x 9 + 0.0299 x 10 + 0.0385 x 15 =  5.0563 minutes.

Then, considering the mean found above, and it's formula, the variance is given as follows:

V(X) = 0.0299 x (1 - 5.0563)² + 0.1026 x (2 - 5.0563)² + 0.1496 x (3 - 5.0563)² + 0.2265 x (4 - 5.0563)² + 0.1581 x (5 - 5.0563)² + 0.1368 x (6 - 5.0563)² + 0.0769 x (7 - 5.0563)² + 0.0214 x (8 - 5.0563)² + 0.0299 x (9 - 5.0563)² + 0.0299 x (10 - 5.0563)² + 0.0385 x (15 - 5.0563)² = 7.9365 minutes².

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Answer: i think 16

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The photo is unclear but based on what I saw, -61 is smaller than +61.

Using the z-distribution, the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).

A confidence interval of proportions is given by the following rule:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

For this problem, we have a 95% confidence level, hence the [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = 0.63, n = 2815[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 - 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.61[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 + 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.65[/tex]

Hence the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).

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The quotient of a number and -5 increased by 7 os at minimum 1 is x ≤ 30.

Sometimes they will ask for a remainder or to find a quotient using the dividend and divisor values. Whatever they ask for, you can quickly discover the right answer if you know how to write it down or how to build the equation based on reading the question.

Here, we assume that the quotient of a number is x, and we first write the formula by deciphering the provided question.

The product of a number's ratio to -5 and 7 is

x/-5 + 7

This is at least one

x/-5 + 7 ≥ 1

Take 7 away from both sides.

x/-5 ≥ -6

Add -5 to both sides. Since this integer is negative, the inequality sign must be changed:

x ≤ 30

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Answer:

  14.47 . . . units

Step-by-step explanation:

Given the vertices of triangle XYZ are (-1, 3), (3, 0) and (-1, -2), you want the perimeter rounded to hundredths.

The perimeter of a polygon is the sum of the lengths of the sides. When the points defining a side are on a vertical line, as with segment XZ, the length is the difference of y-coordinates.

When the points are not on a horizontal or vertical line, the distance between them can be found using the distance formula.

The distance between (x1, y1) and (x2, y2) is given by the formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

The length of segment XY is ...

  d = √((3 -(-1))² +(0 -3)²) = √(4² +(-3)²) = √25 = 5

The length of segment YZ is ...

  d = √((-1 -3)² +(-2-0)²) = √((-4)² +(-2)²) = √20 ≈ 4.47

Side XZ has length (3 -(-2)) = 5, the difference of y-coordinates. Then the perimeter is ...

  P = XZ +XY +YZ = 5 +5 +4.47

  P = 14.47 . . . . units

The perimeter of the triangle is about 14.47 units.

Answer:0.428

Step-by-step explanation:

Step-by-step explanation:

180-28=152

152÷2=76

x=76°

The expression using factoring is 4 * (33 + 57)+ 8)

The expression is given as

(132 + 228)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * (66 + !14)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * 2 * (33 + 57)

This gives

(132 + 228) = 4 * (33 + 57)

Hence, the expression using factoring is 4 * (33 + 57)+ 8)

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The value of x in the isosceles trapezoid is 7.

An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.

The base angles of an isosceles trapezoid are the same.

Therefore,

8x - 12 = 5x + 9

subtract 5x from both sides of the equation

8x - 12 = 5x + 9

8x - 5x - 12 = 5x - 5x + 9

3x - 12 = 9

add 12 to both sides of the equation

3x - 12 = 9

3x - 12 + 12 = 9 + 12

3x = 21

divide both sides by 3

x = 21 / 3

x = 7

Therefore, the value of x in the isosceles trapezoid is 7.

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Answer:

(a) 6 choices

(b) 3 Choices

Step-by-step explanation:

Given:

3 Colors

Order of choice : Red, Blue, Green

(a) Order of the choices taken into consideration :

When we are picking  the first colour there are 3 color choice.

When we are picking second colour there are 2 choice and so on.

Therefore, total choices are = 3*2 = 6 choices

(b) Order of the choices not taken into consideration :

When to take this option we choose as  and the remove the duplicates

Therefore, choices are = = = 3 Choices

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Translation is the movement of a point up, down, left or right.

Transformation is the movement of a point from its initial location to a new location.

The final image is the same as Translate 5 units down, and then reflect over the y axis.

Therefore the coordinates remains same as previous figure.

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322 cans of soda were sold by the grocery store in all.\

Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.

The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322

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Josh start at 0 on the number line and mark 6 parts that are each 0.20.The product (6 *0.20) represents the total cost which is $1.20 .

A number line is a representation of numbers on a line with the marks  placed at the line at equal intervals. This marks or scale of line can be chosen as per our requirement.

For example if we scale the number line such that  each mark is placed at  an interval of number 1 then number 4 will come at 4th mark as each mark is at 1 unit distance with each other .

Given that josh buys 6 pencils at the bookstore and each pencil is of $0.20

Thus, the total cost of pencils = 6 * 0.20 = 1.20

Now on the given number line the numbers starting from 0 and ending at 2.4 and each one is at 2/10=0.2 intervals

Total marks on the line = ( final - initial number )/(length of each interval)

                                      = ( 2.4-0) /(0.2) =12

To find at how many marks total cost would be placed = total cost / interval length = 1.2 / 0.2 = 6

Therefore, when we start from 0 and at 6 marks at this number line our number value will 1.20 that is our total cost.

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Answer: 10 ways

Step-by-step explanation:

5! / (3! * 2!)=

1*2*3*4*5/(1*2*3*1*2)=

4*5/(1*2)=

20/2=10 ways