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4 years ago

7. Use the facts and graph below to write the equation for g(x)

Mathematics

1 answer:

nataly862011 [7]4 years ago

7 0

9514 1404 393

Answer:

g(x) = 2|x|
g(x) = -2|x|
g(x) = -2|x| -3
g(x) = -2|x -1| -3

Step-by-step explanation:

1. Multiplying the function by a constant stretches the graph by that constant. Here, you want a stretch factor of 2, so you have ...

g(x) = 2f(x) = 2|x|

2. Negating a function causes its graph to be reflected over the x-axis. That makes your second function look like ...

g(x) = -2|x|

3. Subtracting 3 from the function value shifts its location on a graph down by 3 units. Your third function will be ...

g(x) = -2|x| -3

4. Subtracting a constant from the x-value causes the graph of the function to be shifted right by that amount. Here you want a right shift of 1 unit, so your function is ...

g(x) = -2|x -1| -3

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Area of a rectangle is 42 sq inches and one side is 12 inches long what is the perimeter of the rectangle?

12345 [234]

Area if the rectangle = 42 sq. inch
Area of a rectangle = l × b
42 = 12 × b
b = 42/12 = 3.5 inch
Now, perimeter of a rectangle= 2(l + b)
= 2(12+3.5) = 2(15.5) = 31 inches

7 0

3 years ago

Suppose the population of a town is 2,700 and is growing 4% each year. A. Write an equation to model the population growth. B. P

miss Akunina [59]

Answer:

Third option i.e. A. $2700(1.04)^x$ and B. About 4,323 people

Step-by-step explanation:

We are given that,

Initial population of the town = 2,700

The rate of growth = 4% = 0.04

Part A: Since, the equation for the growth is given by,

Population growth = $P(1+r)^x$ , where P is the initial population, r is the rate of growth and x is the time period of growth.

We have, according to the question,

Population growth = $2700(1+0.04)^x$

i.e. Population growth = $2700(1.04)^x$

Thus, the equation for the population growth is $2700(1.04)^x$ .

Part B: Now, it is required to find the population after 12 years i.e. x= 12.

So, we have,

Population = $2700(1.04)^x$

i.e. Population = $2700(1.04)^{12}$

i.e. Population = $2700\times 1.601032$

i.e. Population = 4,323

Hence, the population after 12 years is 4,323 people.

Thus, the third option is correct.

5 0

3 years ago

Read 2 more answers

Annie had $50. Every week she babysits she gets $20.

11Alexandr11 [23.1K]

Answer:

s = 50 + 20w

Step-by-step explanation:

Since she starts with 50, that bould be your y value in the equation. Next, she increases at a constant value each week so you would have your next value.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Consider a square whose size varies. Let s represent the side length of the square (in cm) and let P represent the perimeter of

Katena32 [7]

Formula for the square:
P=4S

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3 years ago

What is ? In the following series? 3, -6, 12, 4, 20, ?

Dahasolnce [82]

Answer:

Step-by-step explanation:

3-9=-6 -9

-6+18=12 +18

12-8=4 -8

4+16=20 +16

20-7=13 -7

+14

-6

+12

7 0

4 years ago