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kicyunya [14]
3 years ago
13

Given that (9,-8) is on the graph of f(x), find the corresponding point for the function f(3/4x)

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

Answer:

The corresponding point for the function f(3/4 x) is (12 , -8)

Step-by-step explanation:

* Lets revise the horizontal stretch or compress

- A horizontal stretching is the stretching of the graph away from

 the y-axis

- A horizontal compression is the squeezing of the graph toward

 the y-axis.

# if k > 1, the graph of y = f(k•x) is the graph of f(x) horizontally

 compressed by dividing each of its x-coordinates by k.

# if 0 < k < 1 (a fraction), the graph y = f(k·x) is the graph of f(x)

  horizontally stretched by dividing each of its x-coordinates by k.

* Now lets solve the problem

- The function f(x) will be the function f(3/4 x)

∵ The x multiplied by a constant

∴ f(x) stretched or compressed horizontally

∵ f(x) ⇒ f(k · x)

∵ f(x) ⇒ f(3/4 x)

∴ k = 3/4 ⇒ less than 1

∵ 0 < k < 1

∴ f(x) starched horizontally

∴ Divide each of its x-coordinates by k

∵ k = 3/4

∴ Divide each of its x-coordinates by 3/4

∵ Point (9 , -8) is on the graph of f(x)

- Find the corresponding point on the graph f(3/4 x) by dividing

 x-coordinate by 3/4

∵ x = 9

∴ The corresponding x = 9 ÷ 3/4 = 9 × 4/3 = 36/3 = 12

∴ The corresponding point is (12 , -8)

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Answer:

n=6/4

Step-by-step explanation:

-4(-6-2n)=30+8n

24+12n=30+8n

-24       =-24

12n=6+8n

-8n =   -8n

4n=6

n=6/4

8 0
2 years ago
Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this
Lina20 [59]

Answer:

Caroline has to pay $8600 taxes

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Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

5 0
2 years ago
IM GIVING BRAINLIEST!! suppose F is a 10-newton vector direction 60 degrees north of east and g is a 12-newton vector directed 4
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Answer: The magnificent of east and g is a round out of the fraction that is in direct to 32 degrees and the other direction of the resultant 10 = 12 + F

45 = 60 + F.

8 0
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A newborn baby what weighs 3⁷ kilograms. An adult blue whale weighs 81 times the newborn. How many kilograms does the adult blue
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The triangles below are similar. Triangle Y X Z. Side Y X is 6 centimeters, X Z is 7 centimeters, and Z Y is 3 centimeters. Tria
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Answer:

I would go with c.

Step-by-step explanation:

Hope this helped!

7 0
2 years ago
Read 2 more answers
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