Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9
left 4, up 23
right 4, down 9
right 4, up 23

Since we have a markdown of $1.30 we just need to substract this amount to the original price, then we have:

Therefore the reduced price is $5.20

Answer:

509

Step-by-step explanation:

There are 4 prime factors of 6108

6108 ÷ 2 = 3054

3054 ÷ 2 = 1527

1527 ÷ 3 = 509

509 ÷ 509 = 1

Answer:

f(-3)=-198

Step-by-step explanation:

Function: f(x) = -212-3x + 5

x=-3

First substitute -3 for x:

f(-3)=-212-3(-3)+5

Next multiply -3 by -3:

-3*-3=9

f(-3)=-212+9+5

-212+9=-203

f(-3)=-203+5

-203+5=-198

f(-3)=-198

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Answer:no idea

Step-by-step explanation:

Answer:

Vertex = (-2, -3) , y-intercept = 1

Step-by-step explanation:

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

The cost of a chicken shawarma wrap = $10.99

The cost of an order of spiced potatoes=$4.99

Equations needed

3x+2y =42.95

5x + 4y=74.91

Step-by-step explanation:

x = the cost of a chicken shawarma wrap

y = the cost of an order of spiced potatoes

Ms. Ironperson

3x+2y =42.95

Mr. Thoro

5x + 4y=74.91

3x+2y =42.95 (1)

5x + 4y=74.91 (2)

Multiply (1) by 2

6x + 4y=85.9 (3)

5x + 4y=74.91. (2)

Subtract (2) from (3)

6x - 5x= 85.9 - 74.91

x=$10.99

Substitute the value of x into (1)

3x+2y =42.95 (1)

3(10.99) + 2y =42.95

32.97 + 2y = 42.95

2y = 42.95 - 32.97

2y=9.98

Divide both sides by 2

y=9.98/2

=4.99

y=$4.99

Therefore,

The cost of a chicken shawarma wrap = $10.99

The cost of an order of spiced potatoes=$4.99

If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.

A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:

GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)

GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)

GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)

GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)

The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)

Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)

so m = 1 and n = 5

m + n =6

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Answer:

line s and t would not meet even if you extend them and also they have the same slope and gradient

Weighted vote is the policy of law-making where each representative has a variable voting power.

A policy- or law-making body may use weighted voting, where each representative has a variable voting power (weighted vote) based on the number of principals who have designated them as their proxy or the size of the electorate they represent.

The challenge of distributing resources fairly among a group of individuals is to ensure that each person is given their fair share. This is fair division.

Representatives are apportioned among the states in order to create a fair split or distribution. This is apportionment.

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Answer:

-14

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

C

Step-by-step explanation:

-4*(-2)=7(r+9)

8=7r+63

-7r=55

r=-55/7=-7 6/7

Hope this answer helps you....

I accidently answered this I'm sorry!!  Is there a way 2 delete my answer?

By solving a linear equation for the concentration we will see that the guy needs to use 18 ounces.

We know that the guy used 10 ounces of 6% solution with x ounces of a 12% solution to make a 8% solution, then we can write the concentration equation:

0.06*12 + 0.12*x = (12 + x)*0.08

So we just need to solve a linear equation for x.

0.06*12 + 0.12*x = (12 + x)*0.08

0.06*12 + 0.12*x = 12*0.08 + x*0.08

0.12*x - 0.08*x = 12*0.08 - 0.06*12

0.04*x = 0.06*12

x = 0.06*12/0.04 = 18

Which means that the guy needs to use 18 ounces of the 12% substance.

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The volume of the cube of 7 inches when calculated is 343 cubic inches

A cube is a three-dimensional solid figure that has six faces, each of which is a square.

All the edges of a cube are of equal length. In this case, each edge of the cube measures 7 inches.

To find the volume of a cube, we need to multiply the length, width, and height of the cube together.

Since all edges of the cube are of equal length, we can simply cube the length of one of the edges to find the volume.

Therefore, the volume of this cube is calculated by multiplying the length of one edge by itself three times:

Volume = 7 x 7 x 7 = 343 cubic inches.

So, the volume is 343 cubic inches.

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Let us sum all the members of the committee

Therefore, the number of ways committee of 4 can be formed from 46employees will be

The formula for combination is,

Given:

Therefore,

Hence, the answer is 163185ways.

Yes , it is true that two pairs of adjacent sides of a kite are equal .

A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.

Hence , the given statement is true .

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Answer:

Yes, (3x + 2)(x + 1).

Step-by-step explanation:

1. You're going to need to find two numbers that add to equal 5. The best option here is 2 and 3.

2. Separate the equation into groups. Right now, you have \(3x^2 + 5x + 2\). To separate into groups, you write  \((3x^2 + 3x) + (2x + 2)\).

3. Now, from the first set of parenthesis, you can factor out 3x. This gets you \(3x(x + 1)\). The second set of parenthesis you can factor out the 2. This gets you \(2(x+1).\)

4. Now, you see that you have (3x + 2)(x + 1).

Hope this helps! Let me know if you have any questions.

Answer:

B+A

Step-by-step explanation:

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:

0.00991, 42%, 68%, 3/4

Step-by-step explanation:

WAWWWAWAWAWAWAA

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

i believe the answer is : 1 dollar and 8 cents

$1.08

Answer:

The answer is: $1.08!

Step-by-step explanation:

Have a nice day! :)

Answer:

a) 12914

b) 7975

just use simple addition! hope this helps!

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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