A market trader asks 500 for some cloth. a woman offers 1200, after bargaining they agree a price half way betweeb the two starting prices

Answer:

Shift 4 units down: [tex]g(x) = 2x - 10[/tex]

Stretching f(x) by 4 : [tex]g(x) =8x - 24[/tex]

Shift 4 units left:  [tex]g(x) = 2x - 14[/tex]

Compress by 1/4 units : [tex]g(x) = 8x - 6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x - 6[/tex]

Required

Match the transformations (See attachment)

Shift 4 units down

Shifting down a function is represented as:

[tex]g(x) = f(x) - b[/tex]

In this case:

[tex]b = 4[/tex]

Substitute expression for f(x) and 4 for b in [tex]g(x) = f(x) - b[/tex]

[tex]g(x) = 2x - 6 - 4[/tex]

[tex]g(x) = 2x - 10[/tex]

Stretching f(x) by 4

Stretching a function by some units is represented as:

[tex]g(x) =b.f(x)[/tex]

In this case:

[tex]b = 4[/tex]

Substitute expression for f(x) and 4 for b in [tex]g(x) =b.f(x)[/tex]

[tex]g(x) =4 * (2x - 6)[/tex]

[tex]g(x) =8x - 24[/tex]

Shift 4 units left

Shifting a function to the left is represented as:

[tex]g(x) = f(x - b)[/tex]

In this case:

[tex]b = 4[/tex]

Substitute expression for f(x) and 4 for b in [tex]g(x) = f(x - b)[/tex]

[tex]g(x) = f(x-4)[/tex]

Calculating f(x - 4)

[tex]f(x) = 2x - 6[/tex]

[tex]f(x - 4) = 2(x - 4) - 6[/tex]

[tex]f(x - 4) = 2x - 8 - 6[/tex]

[tex]f(x - 4) = 2x - 14[/tex]

Hence:

[tex]g(x) = 2x - 14[/tex]

Compress by 1/4 units

This means that the function is stretched by [tex]1/\frac{1}{4}[/tex]

Compressing a function is represented as:

[tex]g(x) =f(bx)[/tex]

In this case:

[tex]b = 1/\frac{1}{4}[/tex]

[tex]b = 1 * \frac{4}{1}[/tex]

[tex]b = 4[/tex]

Substitute expression for f(x) and 4 for b in [tex]g(x) =f(bx)[/tex]

[tex]g(x) =f(4x)[/tex]

Calculating f(4x)

[tex]f(4x) = 2(4x) - 6[/tex]

[tex]f(4x) = 8x - 6[/tex]

Hence:

[tex]g(x) = 8x - 6[/tex]

Answer:

14.6

Step-by-step explanation:

i took the test

Answer:

Given function:

This is a linear function. To graph this you need  to plot two different points and connect them with a line.

Examples of the points:

and

So the points are:

See attached graph

Answer:

10 - 2

Step-by-step explanation:

10 + (-2) = 8

10 - 2 = 8

Answer:

5000 pounds

Step-by-step explanation:

Answer:

that would be 5000 pounds

Answer:

ohh hiii and I dob5 understand that -

the answer is C... ......

[tex]6 \sqrt{2} [/tex]

Answer:

(c) 6 x sq rt 2

Step-by-step explanation:

sin 45=x/12

sin 45=.7071

.7071X12=x

x=8.489=6(sq rt 2)

Proof b y Pythagorean Theorem:

AC^2 + BC^2=12^2

AC=8.489 and BC=8.489

AC^2=72 , BC^2=72, 12^2=144

72+72=144

Answer:

(x-4), (x-2)

i think this is what you're looking for

Answer:

its actually (x+2) , (x+4)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Given the expression 1 - 2y²

The second term of the expression is -2y²

The coefficient of the second term is the value attaches to the variable present in the term. The coefficient of -2y² will therefore be -2

Answer:

aquí está

Step-by-step explanation:

Answer: wow here's answer its 4

Step-by-step explanation:

Answer:

4

Do you need an explanation?

Answer:

The answer is a= fc-bd+be/c(d-e).

Step-by-step explanation:

Answer:

The correct equation that describes the surface area is [tex]A_{s} = 2\pi \cdot r^{2}+\frac{326}{r}[/tex] and we need to multiply [tex]\frac{163}{r}[/tex] by 2 in the equation described in the statement to correct the equation.

Step-by-step explanation:

Let suppose that the can of cat food is a right cylinder. The surface area of the cylinder ([tex]A_{s}[/tex]), measured in square centimeters, is the sum of the areas of the circular walls ([tex]A_{cw}[/tex]) and the non-circular wall ([tex]A_{ncw}[/tex]), both measured in square centimeters. That is:

[tex]A_{s} = 2\cdot A_{cw}+A_{ncw}[/tex] (1)

By Geometry, we expanded the equation above:

[tex]A_{s} = 2\pi\cdot r^{2}+2\pi\cdot r\cdot h[/tex] (1b)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

And the volume of the right cylinder ([tex]V[/tex]), measured in cubic cnetimeters, is defined by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex]

Then, we clear the height of the cylinder within the volume formula:

[tex]h = \frac{V}{\pi\cdot r^{2}}[/tex] (2)

By substituting in (1b), we obtain the following equation:

[tex]A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]

[tex]A_{s} = 2\pi\cdot r^{2}+\frac{2\cdot V}{r}[/tex] (1c)

If we know that [tex]V = 163\,cm^{3}[/tex], then the equation for the surface area of the cylinder is:

[tex]A_{s} = 2\pi \cdot r^{2}+\frac{326}{r}[/tex]

In a nutshell, we need to multiply [tex]\frac{163}{r}[/tex] by 2 to correct the equation.

Answer:

H

Step-by-step explanation:

Answer:

0.675

Step-by-step explanation:

Answer:

108%

Step-by-step explanation:

its asking what is the annual growth of roaches and the monthly is 9% so the cockroach population will increase 108% per year

(annual means yearly so 12 months)

Answer:

275.125

Step-by-step explanation:

you multiply 35.5 times 7.75 and u should get 275.125

Answer:

She earned $275.125 last week

Step-by-step explanation:

35.5 x 7.75 = 275.125

Answer:

Domain= All real no

Range= All real no

For graph:

Step-by-step explanation:

Domain= All real no

Range= All real no

For graph:

Answer:

ion know who that is but heyyyy and they did u dirty

Step-by-step explanation:

Answer:

RIP, you will be rested in peace

Step-by-step explanation:

Answer:

1) 400

2) 25

3) 64

Step-by-step explanation:

Answer:

1. 400%

2. 25

3. 64

Step-by-step explanation:

1. 160 ÷ 40 = 4.00 then move the decimal over two places to the right to get 400 ----> 400%

2. 40 ÷ 160 = 0.25 move the decimal over two places to the left and you get 25

3. 160 ÷ 10 = 16 (10%) 16 x 4= 64 (10% x 4 = 40%)

Answer:

The answer is C. -3,-2,-1, 1, 3.

Answer:

here you go please mark brainliest.

Step-by-step explanation:

which one do u need help with there are two

hmmmmmmmmmmmmmmmmmmmmm

Answer:

d

Step-by-step explanation:

Answer:

C 25%

Step-by-step explanation:

The reason why its C because 24 divided by 6 is 4 and then 6 times 4 is 24 so its C

Answer: Your not alone!

Solution :

The number of employees currently in a company = 268

Percentage of employees less than a year ago = 33%

Let he number of people a year ago = x

∴ At present the number of employees = [tex]$x - x \times \frac{33}{100}$[/tex]

   ⇒ 268 = x (1 - 0.33)

   ⇒ 268 = 1x -0.33 x

   ⇒ 268 = 0.67 x

    ⇒ x = 400

Number of employees in a year is = 400

Answer:

18

Step-by-step explanation:

6 / (1 / 3) = 6 * 3 = 18

Answer:

18

Step-by-step explanation:

I did it and got it right

Answer:

$9 per t-shirt

Step-by-step explanation:

First you subtract the cost of the hats from the TOTAL cost of the the T-shrits and the hat.

$83.00-$38.00= $45

Now that you just have the shirts WITHOUT the hat, which is why we subtracted the $38.00, we have to devide. You devide 45 by the number of shirts.

45/5=9

$9 per T-shirt.

Hope this helps