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Goryan [66]
3 years ago
7

G(x)=-2/5x-2 inverse function with steps please​

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

{g}^{ - 1} (x) =  -  \frac{5}{2} x  -  5

Step-by-step explanation:

We want to find the inverse of

g(x) =  -  \frac{2}{5}x - 2

Let

y=  -  \frac{2}{5}x - 2

We interchange x and y to get:

x=  -  \frac{2}{5}y - 2

We now solve for y to obtain:

x + 2=-\frac{2}{5}y

5x =  - 2y - 10

Add 10 to both sides to get:

5x + 10 =  - 2y

Divide through by -2

y =  -  \frac{5}{2} x  -  5

Therefore

{g}^{ - 1} (x) =  -  \frac{5}{2} x  -  5

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A city with a population of 800,000 has been growing at a rate of 7% per year. If this rate continues, find the population of th
Contact [7]

Answer:

Step-by-step explanation:

Population(pop) = 800,000 people

Growth rate=7℅

Pop growth in a year= ((100+7)÷100) × 800000 =856000people

Pop in 20 years = 856000×20

=17,120,000 people

4 0
3 years ago
Use the trend line to predict what the value of variable N will be when variable M equals 50.
ahrayia [7]

Answer:

N = 10

Step-by-step explanation:

Normally the coordinate system goes:

x axis (horizontal)

y axis (vertical)

Here, we have:

Horizontal axis as "M", and

Vertical axis as "N"

We want to know what N will be when M equals 50.

So, we look at the x-axis and go to M equals 50.

Then we move up until the "trend line". The intersection.

If we move directly left to vertical axis (N variable), we see that it is at the point:

N = 10

So,

When M = 50, N = 10

8 0
4 years ago
From the set {80, 19, 11}, use substitution to determine which value of x makes the equation true. 8x = 88 A. none of these B. 1
mel-nik [20]

Answer:

  C.  11

Step-by-step explanation:

Substituting, we have ...

  8{80, 19, 11} ?= 88

  {640, 152, 88} ?= 88

The value from the set that makes the equation true is x = 11.

_____

<em>Alternate methods of solution (other than substitution)</em>

It can be easier to make use of your knowledge of factoring:

  8x = 8·11

  x = 11

Or to make use of your knowledge of numbers (place value):

  8·10 = 80

so x will not be very different from 10.

3 0
3 years ago
Gerald buys a bag of 7,500 assorted beads online. A random sample of 150 beads contains 17 red beads. Predict the number of red
Vanyuwa [196]
850. If there is 17 red beads for every 150 beads Then you would divide 7500 by 150 and you get 50. Then multiply 50 with 17 and your answer is 850 red beads. 7500/150=50. 50 x 17= 850.
4 0
3 years ago
8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be use
geniusboy [140]

Answer:

An = 32 - (4*(n-1))

Step-by-step explanation:

the starting term for this pattern is 32 (which you will need to include in the "rule")

you also know that the next term is the previous term - 4

so!

we can write this pattern as

An = 32 - (4*(n-1))

An = any number of term in the pattern

- ex). A2 = 28, A3 = 24, etc

n = the nth term

- the 3rd term = 24, the fourth term = 20, etc

4 0
3 years ago
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