Find the zeros of the function below, algebraically.

f(x)=(x-2)^2-64

Please show how you got answer and explain :D

Answers

Answer 1

Answer:

x=10 and x=-6

Step-by-step explanation:

f(x)=(x-2)²-64 (Given)

0=(x-2)²-64 (Set equation equal to 0)

64=(x-2)² (Add 64 to both sides)

±8=x-2 (Take the square root of both sides)

Because there are two possible roots, make 2 equations to find both:

8=x-2 and -8=x-2

10=x and -6=x


Related Questions

The answer is A because the reverse of 6.75 is negative 6.75.

Answers

Answer:

The is A as you say lol i don't know

Helpppppp can’t find the right answer pls help

Answers

Answer:

$500

Step-by-step explanation:

Please help me on this problem

Answers

Answer:

No.

Step-by-step explanation: I might be wrong but I say no.

15.
Find the slope of the line.



A. -3/4

B. 3/4

C. 4/3

D. -4/3

Answers

Answer:

C. 4/3

Step-by-step explanation:

Convert the following degrees into radians: 45°

Answers

Answer:

π/4

Step-by-step explanation:

45 * π/180 = π/4 radians.

Find the area of a circle with a diameter of 8 cm. Use 3.24 for n. Round your answer to the nearest hundredth

Answers

Answer:

half of 8 is 4

so 4 is your radius

4^4 = 16

16 x 3.14 = 50.24 in2 is your area.

What is the percent change if the starting value is 25 and the final value is 30?

Answers

Answer:

The percentage change from 25 to 30 is 20 %

Step-by-step explanation:

((30 - 25) / 25) * 100 = 20 %

Wow! Burt is amazing! He typed up eight reports in three hours. At this rate, how long will it take him to type the 40 reports waiting on his desk? Show your work, justifying your answer




Please help me fasstly ​

Answers

Answer:

15 hours

Step-by-step explanation:

since 8 reports took him 3 hrs

8+8+8+8+8=60

3+3+3+3+3=15

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

I think h is 20 I am not sure

If r and s are positive real numbers, which expression is equivalent to
,2/3,1/2
2
ОА. 32
B. 1/3,12
OC. 23,112
OD. 23,12
O E U
1/35112

Answers

Answer:

The answer is E

I got it right

Step-by-step explanation:

I REALLY NEED HELP WITH THIS QUESTION WITH STEPS

Answers

- y^6/5x^3z^2, Answer & Steps below:

Which is NOT a statistical question that might be used to gather data from a certain group?

a.) In what state were you born?
b.) How many pets do you have?
c.) What is the capital of the United States?
d.) Do you like strawberry yogurt?

Answers

A statistical question have varies of answers that cannot be yes or no.

D is not a statistical question because it uses yes or no, does not give varies of data

Help I need the answer dont send NO FILE only answer if you know it step by step explanation

Answers

i believe the answer would be (-3,4)

A rectangle has a perimeter of 72 millimeters and a width of 8 millimeters. What is the length of this rectangle?

Answers

Answer:

28

Step-by-step explanation:

Since the perimeter is the width + width + length + length, we know that there 2 of the 8 millimeter width in the perimeter. So multiply 8 by 2, which is 16. So 16 of the 72 represents both widths. So subtract 16 from 72. You're left with 56, which represents 2 of the length. So divide 56 by 2, and you get one of the length, which is 28.

Answer:

28 ^^

Step-by-step explanation:

Good Luck!!!

Solve using substitution
–3x + y = –12
5x − 2y = 17
PLZ HELP Will give brainlist to whoever answers first

Answers

Answer:

x=7, y=9. (7, 9).

Step-by-step explanation:

-3x+y=-12

5x-2y=17

---------------

y=-12-(-3x)

y=-12+3x

y=3x-12

5x-2(3x-12)=17

5x-6x+24=17

-x+24=17

-x=17-24

-x=-7

x=7

y=3(7)-12

y=21-12

y=9

please help me for brainiest:(:(:(:(:(

Answers

Answer:

15. 1/3 (33%)

16. 1/6 (16.66%)

17. 1/2 (50%)

18. 1/2 (50%)

19. 1/1 (100%)

20. 0/1  (0%)

Step-by-step explanation:

whats 8 over x-2 =24 over 7 in solving proportions NO LINKS

Answers

Answer:

[tex]x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{8}{x-2} =\frac{24}{7}[/tex]

[tex]x=\frac{1}{3}[/tex]

24 – (-14) = ______
-9 · -5 = ______
31 + x = 15 x = ______
2 x + 5 = 15 x = ______

Answers

Step-by-step explanation: (Answers in bold )

24-(-14) using the keep change change rule you get 24 +14 = 38

-9*-5 =45 (negative times a negative = a positive )

31+x=15x subtract x from both sides

31=14x divide by 14

31/16 ---or---> 2.21

2x+5= 15x subtract 2x from both sides

5=13x divide by 13

5/13 or-------> 0.38

hope this helps (^_^)

What is the inverse of f(x)=3x^2

Answers

Answer:

f^-1 (x)=sqrt(x/3), -sqrt(x/3).

Step-by-step explanation:

f(x)=3x^2

y=3x^2

x=3y^2

y^2=x/3

y=sqrt(x/3), -sqrt(x/3).

Answer:

[tex]y=3x^2[/tex]

[tex]y=3x^2[/tex]

Step-by-step explanation:

There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.

There is a triangle with sides measuring 30in, 30in and 25in. Is this a right triangle? Why or why not?

Answers

Answer:

No. In order to be a right triangle, the lengths of the 2 smaller sides must equal the length of the longest side.

In other words, these 3 sides must work with the Pythagorean theorem.

A^2 + B^2 = C^2

25^2 + 30^2 is NOT 30^2

This is a triangle, just not a right triangle.

What is the perimeter of the rectangle?

Answers

Answer:

10 feet

Step-by-step explanation:

Perimeter of rectangle = 2l+2b

Area of the rectangle = l x b

Area of the rectangle = 4 square feet

possible factors of 4 = 2x2/4x1

So sides of the rectangle are 4 & 1 as 2&2 would make it a square

So perimeter= 2x4+2x1

= 8+2

= 10 feet


If 8 people share 44 balloons equally, how many balloons does each person get?

Answers

Each person gets 6 balloons each

Each person get 5 balloons

Solve this equation: –2(x + 16) = –20 *

Answers

Answer:

[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] - 2(x + 16) = - 20 \\ - 2x + 16 \times - 2 = - 20 \\ - 2x - 32 = - 20 \\ - 2x = - 20 + 32 \\ - 2x = 12 \\ x = \frac{12}{ - 2} \\ x = \frac{ - 12}{2} \\ x = - 6[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

"solve this equation: - 2 (x+16)= - 20

Step-by-step explanation:

- 2x 16 + - 2 = - 20

- 2x - 32 = - 20

- 2x = - 20 + 32

x = - 12 :2

x = - 6

What is this? 10 points !

Answers

Answer:

x= 114

Step-by-step explanation:

correspnding angles are equal.

I hope im right! :)

answer: 114
the corresponding angles are equal.

This is the question I need help with :) THANK YOU!! <33

Answers

Answer:1000

Step-by-step explanation:

help i will give branliest

Answers

Answer:

C x = 119

Step-by-step explanation:

> greater than

< less than

119 > 111

In a quadratic function, recall that the discriminant D = b2 - 4ac. For which function is it true that a < 0 and D = 0?

Answers

Answer:

If D = 0, then the quadratic equation has 1 solution x = − b/2a

Step-by-step explanation:

If we have a quadratic equation x² +3x-4= 0

Then the corresponding values of a= 1, b=3, c= -4

Finding the discriminant gives

D=  b2 - 4ac.

D= 3²- 4(1) (-4)

D= 9 + 16

D= 25  

Here a> 0

But if a< 0  e.g a= -1

D=  b2 - 4ac.

D= 3²- 4(-1) (-4)

D= 9 - 16

D= -7  

Here a < 0 so we get the answer -7  < 0

D=  b2 - 4ac.

D= 4²- 4(-1) (-4)

D= 16 - 16

D= 0  

Here a< 0 and b= - c so that D= 0

When D < 0 roots do not exist.

If D = 0, then the quadratic equation has 1 solution x = − b/2a

This can be found out by using the quadratic formula

x= -b±√b²- 4ac/ 2a

But D= 0

x= -b±0/ 2a

x= -b/2a

Simplify the square root of (x^2 -6x+ 9) if x<-3

Answers

Answer:

x^2 - 9

Step-by-step explanation:

The square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation is

[tex](x^2 -6x+ 9)[/tex]

We have to find the square root of the quadratic equation

[tex]\sqrt{(x^2 -6x+ 9)} \\\\\sqrt{(x^2 -3x-3x+ 9)} \\\\\sqrt{x(x-3)-3 (x-3)} \\\\\sqrt{(x-3) (x-3)} \\\\\sqrt{(x-3)^2} \\\\(x-3)[/tex]

Thus, the square root of the quadratic equation [tex](x^2 -6x+ 9)[/tex] if x<-3 would be equal to (x-3).

Learn more about quadratic equations;

brainly.com/question/13197897

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I need help I don’t understand it

Answers

shidddd lil buddy, try the 3rd one

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. Can these numbers be the length of the sides of a triangle? Show the math to prove your answer. Then circle YES or NO. 1) 8,9,10 2) 1, 1, 2 3) 6,9,8 yes or no yes or no yes or no​

Answers

Answer:

1) yes  2) no  3) yes

Step-by-step explanation:

The lengths of the two shorter sides must be greater than the length of the longest side.

1) 8 + 9 > 10    yes

2) 1 + 1 = 2      no

3)  6 + 8 > 9    yes

The lengths which can be side of triangle are:

8, 9, 106, 9, 8

Apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 8, 9, 10:

The sum of the lengths of the two smaller sides is 8 + 9 = 17 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

2. 1, 1, 2:

The sum of the lengths of the two smaller sides is 1 + 1 = 2.

No, 2 is equal to the length of the longest side.

So these numbers cannot be the lengths of the sides of a triangle.

3. 6, 9, 8:

The sum of the lengths of the two smaller sides is 6 + 8 = 14 > 10

Therefore, these numbers can be the lengths of the sides of a triangle.

Learn more about Triangle Inequality here:

https://brainly.com/question/22559201

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