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

Answers

Answer 1

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


Related Questions

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:

3 hours 6 minutes?

Answers

Answer:

He will bike 26.87 miles.

Step-by-step explanation:

Given:

Jordan bikes at a speed of 8 2/3 mph.

Now, to find the distance he will bike in 3 hours and 6 minutes.

Speed =  

Time = 3 hours and 6 minutes

        =  

As, 60 minutes = 1 hour.

        =

What is the length of the segment shown below. Round your answer to the nearest hundredth. (2,5) (-4,-1)

Answers

Answer:

Step-by-step explanation:

use the distance formula Emily  P1=(x1,y1)=(2,5) P2=(x2,y2)=(-4,-1)

d = [tex]\sqrt{(x2-x1)^{2}+ (y2-y1)^{2} }[/tex]

d = [tex]\sqrt{6^{2}+ 6^{2} }[/tex]

d = 8.48528

d  = 8.49

t/(-11) = 11 what does t =

Answers

Answer:

t=-121 is the correct answer

PLEASE HELP ME I ONLY HAVE 5 MINUTES TO TURN THE WHOLE ASSIGNMENT IN

Answers

Answer: 2

Step-by-step explanation:

Answer:

Im pretty sure the answer is 2. Good luck<3

So can someone just kinda do these

Answers

Answer:

1.) -5/4

2.) 2

3.) 7/3

4.) 4

5.) -6

6.) -1

7.) 5/3

8.) -4

9.) 2

Step-by-step explanation:

this is what i got i hope they are all right

slope formula: (y2 - y1) / (x2 - x1)

11.) Is the equation below linear or nonlinear?

Y=9x-5

Answers

Answer:

liner

Step-by-step explanation:

Given that R= 7x + 7y
Find r when y = 2 and R=8

find x
Give your answer as a fraction in its simplest form.​

Answers

Answer:

Step-by-step explanation:

564/5

Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.

Answers

Answer:

The rate is 6.43%

Step-by-step explanation:

Given

[tex]I = 450[/tex] --Interest

[tex]P = 5600[/tex] -- Principal

[tex]T= 15\ months[/tex] --Time

Required

Determine the rate

Using simple interest formula:

[tex]I = PRT[/tex]

Make R the subject

[tex]R = \frac{I}{PT}[/tex]

Convert time to years

[tex]T= 15\ months[/tex]

[tex]T =\frac{15}{12}\ years[/tex]

[tex]T =1.25\ years[/tex]

Substitute values for I, P and T

[tex]R = \frac{450}{5600*1.25}[/tex]

[tex]R = \frac{450}{7000}[/tex]

[tex]R = 0.0643[/tex]

Convert to percentage

[tex]R = 0.0643*100\%[/tex]

[tex]R = 6.43\%[/tex]

In the mid term test Jesse scored 92%,89% and 90%.What was her main score​

Answers

Answer:

100%

Step-by-step explanation:

Answer:

90.3%

Step-by-step explanation:

I think you have a typo. I'm pretty sure you meant mean score. To find the mean, we add up all the values and divide by the number of values. Let's add 92, 89, and 90. That gets us 271. Now, let's divide 271 by 3. That gets us 90.3. That means Jesse's mean score is 90.3%.

Solve
for x
2(2x + 1) -10=4
Help please and thank you

Answers

Answer: 3

Distribute

Subtract the numbers

Simplify

50 points

There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?

Answers

Answer:

28

Step-by-step explanation:

63/9=7

7*4=28

Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
Tiles may be used once, more than once, or not at all.

Answers

Answer:

I don't see anything like a graph or anything.

Answer:

Need help

Step-by-step explanation:


Which property is illustrated by the statement 6 X 4=4 X 6?

Answers

Answer:

Commutative property

Step-by-step explanation:

What is the pow of a
4.5 x 10-3 M OH solution?

Answers

Answer:

p O H = 2.35

Step-by-step explanation:

6 12 5 7 7 3 9 mean median range

Answers

Answer: Mean:7 Median 7 Range:9

Step-by-step explanation:


10. Peter had a policy with a $250 deductible which paid 80% of his covered charges less deductible. He had medical expenses of $18,240.00. What is the insurance company's payment?
O $14,392
O $14,300
O $250
O $15,000

Answers

Answer:

$14392

Step-by-step explanation:

The insurance company's payment is $14392. which is the correct answer would be an option (A).

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

The required insurance company's payment is the difference between 80% of medical expenses and 80% of the deductible amount.

According to the given question, the required solution would be as:

The insurance company's payment = 80% of $18,240.00 - 80% of $250

The insurance company's payment = (80/100)18,240.00 - (80/100)250

The insurance company's payment = (0.80)18,240.00 - (0.80)250

The insurance company's payment = 14592 - 200

Apply the subtraction operation,

The insurance company's payment = $14392

Therefore, the insurance company's payment is $14392. which is the correct answer would be an option (A).

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ5

In the U.S., 51% of all births are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 births at a local hospital are boys.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
P
x
=
n
!
x
!
n
-
x
!
p
x
q
n
-
x
A.
17%

B.
21%

C.
49%

D.
51%

Answers

Answer: The correct answer is B) 21%

Step-by-step explanation:

This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)

Have a wonderful rest of your day!

The probability that 6 out of 10 births at a local hospital are boys is 21%, so option B is correct.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given data:

In the U.S., 51% of all births are boys, and 49% are girls

Calculate the probability by the formula given below,

[tex]P(x) = [n! / {x!(n-x)!}]P^xQ^{n-x}[/tex]

Here x = 6 and n = 10, put the values,

P(x) = [10! / {6!(10-6)!}] × 51⁶ × 49⁽¹⁰⁻⁶⁾

P(x) =  [10! / {6!4!}] × 0.51⁶ × 0.49⁴

P(x) =  210 × 0.0176 × 0.0577

P(x) =  0.21

P(x) =  21 %

Therefore, the probability that 6 out of 10 births at a local hospital are boys is 21%.

To know more about probability:

https://brainly.com/question/743546

#SPJ2

Julio tested the point (4, –2) to see whether it is a solution to this system of equations.

–3x – 2y = –8,
y = 2x – 5

His work is shown below.

Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.

Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.

Answers

Answer:

the answer is B on edge

Step-by-step explanation:

B. No. He did not check the point in the second equation

can i get brainly so i can rank up?

Answer:

Like I said B

Step-by-step explanation:

Can someone help me please!!

Answers

9514 1404 393

Answer:

  AE = CE = 23; BE = DE = 20

Step-by-step explanation:

Put the values of the variables in their place and do the arithmetic.

  AE = 2u+5 = 2(9) +5 = 23

  BE = 6v-1 = 6(3.5) -1 = 20

  CE = 3u-4 = 3(9) -4 = 23

  DE = 8v-8 = 8(3.5) -8 = 20

The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.

HELP PLEASEEEE IM BEGGING YOU

Answers

Answer:

40

3

9

70

6

7

10

2

42

8

Step-by-step explanation:

let's hope i didn't read naything wrong

When is subtraction always the first operation done in an expression?

A Never
B When it follows addition in an expression.
C When it is the first operation in an expression, from left to right.
D When it is in parentheses in an expression.

Answers

Answer:

b

Step-by-step explanation:

t

C

The order of operations tells us the correct steps for solving a math problem.
PEMDAS
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtract
Subtraction is the last step, so if none of the 5 steps before it are in the equation, then that is when you will do subtraction first.

Anyone mind helping me? 4.5+x=11?

Answers

Move all terms not containing x to the right side of the equation.

x = 6.5

Help me out here pleaseeeeeee

Answers

Answer:

option C

Step-by-step explanation:

(6+3)= 9

9 × 4= 36

36-2= 34

hope it helps! please make me brainliest..

Thank you! Have a good day ahead!

Answer:

(6+3)*4-2

Step-by-step explanation:

(6+3)*4-2

9*4-2

36-2

34

PEMDAS

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

simplify-18z3 +(-15z3)​

Answers

Answer:

-18z3+(-15z3)

-18z3-15z3

-33z6

Which of the following values for y makes the inequality True? 3y >12​

Answers

answer:

a value of five or more would make the inequality true

PLS HELP BRAINLIEST AND EXTRA POINTS !
What is the ratio of the total coins in Andrew's coin jar to the total coins in Staci's coin jar?

A. 98:51

B. 49:78

C. 1:1

D. 51:98

Answers

Answer:

D

Step-by-step explanation:

4 + 12 + 18 + 68=  102/2 51

40 + 28 + 52 + 76= 196/2 98

51:98

D. 51.98....hope this helps

For the right triangle find the missing length. Round your answer
to the nearest tenth.

Answers

Answer:

w = 5

Step-by-step explanation:

In the given right triangle, by trigonometric ratio, we have:

[tex] \tan \: 60 \degree = \frac{5 \sqrt{3} }{w} \\ \\ \sqrt{3} = \frac{5\sqrt{3}}{w} \\ \\ w = \frac{5 \cancel {\sqrt{3}} }{ \cancel {\sqrt{3}} } \\ \\ w = 5[/tex]

Can someone help me find the complete square please?

Answers

Answer:

x= +-6 squareroot 2-10

Step-by-step explanation:

[tex]x=+-6\sqrt{2} -10[/tex]

If (-x^2 + y^2) is subtracted from (x^2 + y^2), the difference is

A.2x^2
B.0
C. -2x^2
D. —2x^2– 2y^2

Answers

Answer:

If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]

Option A is correct option.

Step-by-step explanation:

If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], we need to find the difference.

When finding the difference the term after from comes first.

We can write:

[tex](x^2 + y^2)-(-x^2 + y^2)[/tex]

Now finding difference:

Multiply minus sign with terms inside the bracket

[tex]=x^2 + y^2+x^2 - y^2[/tex]

Now combine the like terms

[tex]x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2[/tex]

So, If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]

Option A is correct option.

Can anyone please help me?

Answers

Wait which 1 are yhu answering?
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