the x-intercept of the function f(x)=x^2-81

Answers

Answer 1

Answer:

hendoebhdjdbdjjsjsnsnns

jskebeuejbeiwnwvgwvshcc

Answer 2

Answer:

x=9

x=-9

Step-by-step explanation:

The x intercept or roots are x values that makes the f(x) equal 0. So in order words, to find the x intercept. Set the equation equal 0.

[tex] {x}^{2} - 81 = 0[/tex]

We can approach this problem 2 ways

Way 1: Differnece of Squares

Recall that

[tex]a {}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

Since x^2 and 81 are both perfect squares and 81 is negative, we can say that

[tex](x + 9)(x - 9) = 0[/tex]

Set each equation to zero

[tex]x = 9[/tex]

[tex]x = - 9[/tex]

Way 2: Take square root of both sides

[tex] {x}^{2} - 81 = 0[/tex]

[tex] {x}^{2} = 81[/tex]

Next step, take square root of both sides. Square root produce negative and positive solutions so

[tex]x = 9[/tex]

or

[tex]x = - 9[/tex]


Related Questions

Find the value of ( 1+cosA) (1-cosA)

Answers

Answer:

sin^2 A

Step-by-step explanation:

first expand the trigonometry

1(1-cosA)+cosA(1-cosA)

=1-cosA+cosA-cos^2 A

= 1-cos^2 A

from trigonometric identity sin^2 A + cos^2 A= 1

sin^2 A= 1- cos^2 A

=sin^2 A

Write an
equivalent expression by distributing the
""
"sign outside the parentheses:
-(-9.1d - 6f +9.1)
Answer:
Submit Answer

Answers

Answer:

[tex] - ( - 9d - 6f + 9.1) \\ = 9d + 6f - 9.1 \\ thank \: you[/tex]

2y + x = 7 and y = -x + 5 find the solution of the following system of equations ok​

Answers

Answer:

(3, 2)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3, 2)

Equation Form:

x = 3

y = 2

There are 10 boys and 6 girls. How many ways are there to choose 8 people to get at most girls

Answers

Answer:

2 ways

Step-by-step explanation:

6G and 2B

5G and 3B

Pls help me it’s algebra

Answers

Answer:

x^2 + 13x + 2

Step-by-step explanation:

The perimeter is all of the sides added up.

11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)

11 + 3x + x^2 + 2 + 6x -5 + 4x - 6

x^2 + 13x + 2

Basically, we combine like terms and you will get a final answer of:

x^2 + 13x + 2.

This is the simplified expression! I hope this helped.

Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?

Answers

Let the cost of a lamp = x

6 lamps would cost 6x

He bought 3 lamps at 3x plus Thad 950 left.

3 lamps plus the 950

Would be the same amount as 6 lamps:

Set up an equation and solve for x:

3x + 950 = 6x

Subtract 3x from both sides:

950 = 3x

Divide both sides by 3:

X = 316.67

Each lamp was $316.67

Multiply the price of a lamp by 6:

316.67 x 6 = 1900

He had $1900

Answer: $1900

Step-by-step explanation:

Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).

So, if he take money remaining with him = x = $950

Amount of money he first had = 2x =$950×2 = $1900

HELP ASAP

Write the equation of the line passing through the points (-5,8) and (-8,5).

Answers

Answer:

y=-5/8x+0

Step-by-step explanation:

Find the area of the circle.
Use 3.14 for it. Do not round your answer.
Hint: A = Tira
14 inches
Area = [?] inches?
Enter the number that
belongs in the green box.

Answers

Use the formula given. R is half the diameter

R = 14/2 = 7 inches.

Area = 3.14 x 7^2

Area = 153.86 inches^2

Answer:

Does the answer help you?

Brainliest if you can help me!!

Answers

Step-by-step explanation:

I guess option 1 is correct answer

I have been trying to find the answer for 10 minutes now..Please help!

Answers

Plugging in the values, we see that object 1 has more potential energy (the ball to the left)

5. Which property was used to simplify the expression?


a) distributive property

b) commutative property

c) associative property

d) inverse property

Answers

Answer:

a

Step-by-step explanation:

distributive property

given: y=8-3x find the slope and y intercept

Answers

Answer:

Step-by-step explanation:

y = mx + b

"m" is slope ; "b" is y-intercept.

~~~~~~~

y = - 3x + 8

m = - 3

b = 8

please help me !! :)

Answers

Answer:

I believe it is D

Step-by-step explanation:


FIND AC! PLS HELP!!

Answers

Answer:

AC = 7.3 in

Step-by-step explanation:

tan(51°) = 9/AC

1.24 = 9/AC

AC = 9/1.24

AC = 7.26

I need help ASAP!!Please help me

Answers

Answer:

Below

Step-by-step explanation:

To find the volume of a rectangular prism find the area of a face and multiply it by the height

V = lwh

  = (12)(5)(12)

  = 720 km^3

Hope this helps!

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

Can anyone help me with this please and thank you

Answers

Answer:

x=0, 7

Step-by-step explanation:

x^2-3x=4x

x^2-7x=0

x(x-7)=0

x=0 or 7

Answer:

x=0  x=7

Step-by-step explanation:

x^2 -3x = 4x

Subtract 4x from each side

x^2 -3x-4x=0

x^2 -7x = 0

Factor out an x

x(x-7) =0

Using the zero product property

x=0  x-7 =0

x=0  x=7

If 4x – 5 = 96, what is the value of 4x + 12?

Answers

Answer:

113

Step-by-step explanation:

Solving the first equation, 4x - 5 = 96, we get x = 25.25:

4x - 5 = 96

add 5 to both sides

4x = 101

divide both sides by 4

x = 25.25

Then we plug that into 4x + 12.

We already know 4x = 101, so 101 + 12 = 113

The value of the expression will be equal to 113.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Solving the first equation, 4x - 5 = 96, we get x = 25.25:

4x - 5 = 96

Add 5 to both sides.

4x = 101

Divide both sides by 4.

x = 25.25

Then we plug that into 4x + 12.

4x = 101,

Substitute the value of 4x into the expression.

101 + 12 = 113

Therefore, the value of the expression will be equal to 113.

To know more about expression follow

https://brainly.com/question/723406

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A. 4
B.-1/4
C. 4
D. 1/4

Answers

The answer should be 1/4

45. A crew member on a boat releases a camera 2 feet above the surface of a lake. The
camera falls 6 feet, where it is caught by a diver. How many feet below the surface of
the lake is the diver?
A. 6 feet below
B. 8 feet below
C. 4 feet below
D. 12 feet below

Answers

Answer:

C. 4 feet below

Step-by-step explanation:

A crew member on a boat releases a camera 2 feet above the surface of a lake. That is +2 feet

The camera falls 6 feet. -6

+2+(-6)

2-6

-4

Below 4 feet

help me pleaseeee <333 .

Answers

Answer:

3 one

Step-by-step explanation:

Answer:

3 option is correct

Step-by-step explanation:

gd afternoon

have a lovely day

Please help!!! Find the length of MK

Answers

Answer:

HK = 42

HM = 23

MK = ??

23 + MK = 42

MK = 19

^^^ so you're correct :)

Let me know if this helps!

Who can do 20 assignments in math for me rn needs to b finish in 5 hours?

Answers

u need to finish 4 assignments in 1 hour


What is the volume of the cylinder?
5767 cm3
2887 cm3
967 cm3
1921 cm3

Answers

Calculate the area of the base circle: pigreco • r^2 = 3,14 • (6)^2 = 3.14 • 36 = 113 cm2
Now you have to moltiplicate to the high, so: 113 • 16 = 1808 cm3

CX is an altitude in triangle ABC.
Which statements are true? Select two options. .

Answers

Answer:

Does the answer help you?

For the Parabolay = (x + 7)2 – 3. the equation for the Line Of Symmetry is

Answers

Answer:

Hello

Step-by-step explanation:

Axis of symmetry is vertical:

x=-7 (since (-7,-3) is the vertex)

Answer:

x = -7

Step-by-step explanation:

y = (x+7)^2 -3

This is in vertex form

y =a(x-h)^2+k  where (h,k) is the vertex and the line of symmetry for a vertical parabola is x=h

y = (x- -7)^2 -3

x = -7

Can you help please answer will give Max points

Answers

Answer: 256/9 or 28 and 4/9

Answer:

28 4/9

Step-by-step explanation:

5 1/3 times 5 1/3

The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?

A. 1994–1995

B. 1997–1998

C. 1998–1999

D. 1999–2000

Answers

I think the answer is C

Consecutive years that saw the largest increase in median mode is C. 1998-1999.

What is median ?

Median is the the middle term when data are arranged in ascending or descending order when we have odd number of terms and median is sum of the mean of the middle term and the next term when we have even number of terms.

According to the figure and statement given a bar graph hows the median income for families in the United States from 1993 through 2000.

We have to determine which two years saw the largest increase in median income.

If we observe the graph carefully and go through options we can conclude that 1998-1999 has the largest increase in median income which is of 1500 dollars.

learn more about median here :

https://brainly.com/question/28060453

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Simplify the expression to a polynomial in standard form:
(2x - 1)(-x^2+ 4x + 6)

Answers

Answer:

[tex](2x - 1)( - {x}^{2} + 4x + 6) \\ = 2x \times - {x}^{2} + 2x \times4x + 2x \times 6 \\ - 1 \times - {x}^{2} - 1 \times 4x - 1 \times 6 \\ = - 2 {x}^{3} + 8 {x}^{2} + 12x + {x}^{2} - 4x - 6 \\ = - 2 {x}^{3} + 9 {x}^{2} - 8x - 6 \\ thank \: you[/tex]

How do I solve part A

Answers

You have to put them into order, then multiple the two sides kf the triangle then put them together

Answer:

you have to put them in order

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