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vladimir2022 [97]
2 years ago
5

Given that f(x) = x²-1, a) Find f(5) b) Find f-'(x) c) Find f-'(8)

Mathematics
1 answer:
Zigmanuir [339]2 years ago
7 0

Answer:

step by step as shown

Step-by-step explanation:

f(x) = x²-1

f(5) = 5² - 1 = 24

f⁻¹(x)

y = x²-1

x = y² - 1    swap x and y

y² = x+1   ... x+1 ≥ 0      x≥-1

y = √x+1

f⁻¹(x) = √x+1

f⁻¹(8) =√8+1 = √9 = 3

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an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100
LiRa [457]
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;

2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:

2c + 4p = 270
-2c -2p = -200
___________
2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
c = 65

There are 35 pigs and 65 chickens
-T.B.
3 0
3 years ago
How do you complete it
Naya [18.7K]
U^2 + 2 (u) (5/2) + 25/4 = (u +5/2)^2

answer is B. 25/4
8 0
3 years ago
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year
yan [13]

Answer:

A

Step-by-step explanation:

8% = .08 in decimal form

10 000 ( 1 + .08)^10 =

8 0
2 years ago
If g(x) = x^2 + 2, find g(3). 9 8 11 6
creativ13 [48]

The answer is 11.

3^2=9

+2=11

7 0
3 years ago
I had $80.45 in my bank account on Monday. I deposited $20.50 on Tuesday, Wednesday, and Thursday. I then withdrew $37.25 on Fri
brilliants [131]

Answer:

$104.70

Step-by-step explanation:

The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3)  would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.

8 0
3 years ago
Read 2 more answers
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