Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)

Answers

Answer 1

Answer:

a)  f(5) = 24

b) The inverse of given function

              f⁻¹ ( x ) = √x+1

c)    f⁻¹ ( 8 ) = √9 =3

Step-by-step explanation:

Explanation:-

Given  f(x) = x² - 1

a)

      f(5) = 5² -1 = 25-1 =24

b)      

put y =  f(x) = x² - 1

   ⇒   y =  x² - 1

 ⇒     x² = y + 1

⇒     x = √y+1

⇒ f⁻¹ ( y ) = √y+1      ( ∵ f⁻¹ ( y) =x)

The inverse of given function

              f⁻¹ ( x ) = √x+1

c)   put x=8

             f⁻¹ ( 8 ) = √8+1 = √9 =3


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Answer:

3y-130

Step-by-step explanation:

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3y-130 hope this helps

Step-by-step explanation:

SOLVE FOR X, WILL GIVE BRAINLIEST

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The two angles are supplementary angles and when added together equal 180 degrees.

3x -12 + x+2 = 180

Simplify:

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Add 10 to both sides

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Sarah has 23 apples she divides them into 15 places what is the fraction of the apples she has left?

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8/23 is the answer ... well that is all .. brainly asks me to write at least twenty letters so that is why i typed this much out of rage ... mark it the brainly that would make me happy when i check my phone before sleeping at night
The answer is 1 5/8, because 1 times 15 is 1, which leaves 8 left.


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The answer to the question is: 3

Answer:

Step-by-step explanation:

16

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Step-by-step explanation:

the answer would be

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Answer:72

Step-by-step explanation:

Answer:

3(4 + 3 + 17)

Step-by-step explanation:

The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)

The student population of a school consists of 300 girls and 500 boys

Answers

Answer:

In all you have 800 students.

The ratio of girls to boys is 300:500

500 x 300 = 150000

Step-by-step explanation:

Hope this helps?

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16

Answers

Answer:

0.333333 or 1/3

Step-by-step explanation:

I hope it is 1 to 6.

2 or 3 is the 2 numbers representing success

P(2 or 3) = 2/6 = 1/3

I don't understand the choices. Can you upload a picture of the question?

Find the measure of angle YTG

Answers

The angle is 30 degrees
Answer= 30 degrees.

if AB=BA= I then write the relation between matrix A and matrix B​

Answers

Answer:

If  AB = BA = I, then B is inverse of A and vice-versa.

Step-by-step explanation:

Given: AB = BA = I

To find: The relation between matrix A and B.

If AB = BA = I, then B is called the inverse matrix of A and is denoted by [tex]A^{-1}[/tex].

In that case, A is said to be invertible.

Also, if B is the inverse of A, then A is also the inverse of B.

Hence, the relation between A and B is that both are inverse of each other.

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Answers

4p^2-2p-24p+8
Answer=4p^2-26p+8
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4p^2-2p-16p+8

Collect the like terms

4p^2-18p+8, is your answer

For a field trip 4 students rode in cars and
the rest filled nine buses. How many
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1a. What does the variable "x" represent?

1b. What equation represents this word problem?


1c. What is the solution to the word problem?


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Answers

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

Answer is no longer needed..

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Answer:

WARNING DO NOT JOIN THE ZOOM OF 825 338 1513⚠ OR DO NOT JOIN ANY ZOOMS FROM ANYONE EXCEPT REAL LIFE FRIENDS OR FRIENDS FAMILY OR TEACHERS! HIS ZOOM NAME IS Mysterious Men HE ASKS GIRLS TO DO INAPPROPRIATE THINGS PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS! PLS PASS THIS AROUND!

at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies​

Answers

Step-by-step explanation:

Given that the ratio of zebras are 5 and giraffes are 2

We add them giving is 7

So: giraffe=2/7 × 21 = 6

Zebra 5/7 × 21 = 15

solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!

Answers

Hey there!

The answer to your question is [tex]-2 \frac{3}{11}[/tex]

[tex]-2(4x+4) - 3x -2= 34[/tex]       Write the equation

[tex]-8x - 8 - 3x - 2 = 34[/tex]           Distribute -2

[tex]-11x-10 = 34[/tex]                      Combine like terms

[tex]-11x = 24[/tex]                              Add 10 to both sides

[tex]-2 \frac{3}{11}[/tex]                                         Divide both sides by -11

Hope it helps and have a great day!

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Answers

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.


How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
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Answers

Answer:

Step-by-step explanation:

xhxj

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Answers

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Answers

The pyramid's formula for Volume is identical to the formula for Volume of a prism, except for having a factor 1/3.

Base Area and height being the same for a pyramid and a prism, the volume of the pyramid is always one third that of the prism.

A similiar fact pertains to Cone vs Cylinder...these 3 dimensional volumes have a ratio of 1/3 to one another.

In two dimensions, there's a ratio of 1/2 between areas of triangles and rectangles having the same base & height.


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Answers

Answer:

-1...................

Step-by-step explanation:

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Step-by-step explanation:

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
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Answers

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

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the answer is A <_______________^______________

12- (-5) + (-4 ) calculate

Answers

13teen is the answer because -5 plus -4 equals-9 so when you subtract a positive which is 12 that’s what you get.

Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?

Answers

draw a diagram.

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so 8.8 is to 4 as 22 is to x

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Gerry visited a farm and saw a total of 87 chickens and pigs. If there were a total of 248 legs between all of these animals, how many animals were chickens and how many were pigs?
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Answers

There are 18 or 20 pigs if two had 1 missing leg

Step by Step explanation

Multiply the chickens by 2 or adding it by the same number since chickens have 2 legs

87

+87

-------

174

After, minus 174 from 248

That is 74

Divide by 4

A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.

Answers

Answer:

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What loliloolollokllkabbsbsnanab

The equation of line j is y=5/7x-9. Line k, which is parallel to line j, includes the point (-7, 1 ). What is the equation of line k ?

Answers

Answer:

math waaayys can help you

Step-by-step explanation:

Alia has a AED 20 gift card for an online music store. All songs at the store have the same price. After Alia buys 3 songs, the balance on the card is AED 16.25. What will be the remaining balance on the card after he buys 5 more songs

Answers

Answer:

Remaining balance = AED 13.75

Step-by-step explanation:

Given that:

Amount of gift card = AED 20

Amount left after buying 3 songs = AED 16.25

Cost of 3 songs = 20 - 16.25 = AED 3.75

Cost per song = [tex]\frac{3.75}{3}[/tex]

Cost per song = AED 1.25

Cost of 5 songs = 5(1.25) = AED 6.25

Remaining balance = 20 - 6.25 = AED 13.75

Hence,

Remaining balance = AED 13.75

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