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Natasha2012 [34]
3 years ago
11

Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type the answer exactly in this f

orm.
ƒ -1(x) = ____a0 x ________a1 _______a2
ƒ -1(4) = ______a3
Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0
We can get the inverse function by first setting f(x) = y, solving for x, and after that switching y and x. So, let's solve for x:
f(x)= \frac{1}{2}x+4
y= \frac{1}{2}x+4
2(y-4)=x
2x-4=y=f (x)^{-1}

Then, just plug in 4 for x, and solve:
2(4)-4= f (x)^{-1}
4=f (x)^{-1}

There you have your answer.

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If the legs of a right triangle are both 8 cm, find the area of the triangle. A) 8 cm2 B) 16 cm2 C) 32 cm2 D) 64 cm2
Alex787 [66]

Answer:

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Step-by-step explanation:

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b= 8

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Which statement correctly explains the chart?
makvit [3.9K]

The chart shows a production possibilities schedule for Sabrina’s Soccer.

Combination: Soccer balls: Soccer nets:

A 10 0

B 8 1

C 6 2

D 4 3

E 2 4

F 0 5

Which statement correctly explains the chart?

A. The opportunity cost of producing one soccer net is eight soccer balls.

B. The opportunity cost of producing two soccer nets is two soccer balls.

C. The opportunity cost of producing two soccer balls is one soccer net.

D. The opportunity cost of producing four soccer balls is three soccer nets.

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Answer: Option 3

<u>Explanation:</u>

Opportunity cost is when a particular option is chosen from the alternatives given, the opportunity cost is the cost incurred by not enjoying the benefit associated with the best alternative choice.

The problem of the opportunity cost occurs because the resources given in the economy are limited in availability and there fore because of that there has to be some choices that are to be made among the alternatives given in the economy.

In this example it shows that for producing two soccer balls, the opportunity cost is one soccer net.

7 0
3 years ago
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Elodia [21]
Answer:  " x = 16 ;  - 4 " .
_____________________________
<u>Note</u>:
______________________________
-16 , +4  = -12 .

-16 * 4 = -64
______________________________
(x - 16)(x + 4) = 0 ; 
______________________________
x = 16 ;  - 4 .
_____________________________
8 0
3 years ago
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