if a parabola has x-intercepts at 13 and -21, what is the x-coordinate of its vertex

Answers

Answer 1

Answer:

-4

Step-by-step explanation:

To find the x-coordinate of the vertex of a parabola given its x-intercepts, find the average of the x-intercepts:

x-coordinate of the vertex = [tex]\frac{x_1+x_2}{2}[/tex] (where [tex]x_1[/tex] and [tex]x_2[/tex] are the x-intercepts)

Plug in the x-intercepts 13 and -21

[tex]\frac{13+(-21)}{2}\\= \frac{13-21}{2}\\= \frac{-8}{2}\\=-4[/tex]

Therefore, the x-coordinate of the vertex is -4.

I hope this helps!


Related Questions

whats the answer to number one?

Answers

Answer:

2³ * 2² = 2³⁺² = 3⁵

Step-by-step explanation:

2³ * 2² = 2³⁺² = 3⁵

[(2³)² = 2³ˣ² = 3⁶]

Help would be appreciated

Answers

85+47=132
180-132=48
therefore the value of x is 48 degrees

Best answer gets brainliest


c) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable. (2 points)


i put this in part B (She uses 24 applications regularly)

Answers

Answer:

24 would be the correct answer.

Step-by-step explanation:

24 would be the correct answer because 2/3 x 18 + 12 = 24.

Making 2/3 the the fraction that was used and already installed.

Making 18 the number of the already installed applications

Making 12 the number of the additional installed applications.

I hope this helped!!!

If f(x) = 3x + 1 and g(x) = 2x - 3, what is the product of f(-8) and g(6)?

A: 437
B: -207
C: -361
D: 171

Answers

Answer:

-207

Step-by-step explanation:

f(-8) = 3×(-8)+1

= -24+1

= -23

g(6) = 2×6-3

= 12-3

= 9

f(-8)×g(6) = -23×9 = -207

PLEASEEE HELPPP
John needs to rewrite the expression (4x^3y^5z)^2. Identify which of the following is the simplified form of the expression.
4x^5y^7z^3

4x^6y^10z

8x^5y^7z^3

16x^6y^10z^2

Answers

Answer:

16x^6y^10z^2

Step-by-step explanation:

Well without doing much math I already know that (4x^3)^2 is 16x^6 because 4*4=16 and 3*2=6.

That leaves the last answer choice.

how did they get 72?

Answers

Answer:

they multiplied all the sides

Step-by-step explanation:

Answer: 12x6=72 get it?

Step-by-step explanation:

Simply the expression.

10(6y + 12) + 8(7y - 4)

Answers

Answer: 116y+88

Step-by-step explanation:

Distribute:

60y+120+56y-32

Combine like terms:

116y+88

Answer: 116y+88

Step-by-step explanation:

10(6y+12)+8(7y-4)

Distribute 10 and 8

60y+120+56y-32

Combine like terms

116y+88

can anyone help me with this question​

Answers

Answer:

[tex]78[/tex]

idont know

3. A mechanic charges $90 for the inspection plus $25 per hour. If the bill was $240, how many hours did he work?
A. 8 hours
B. 7 hours
C. 6 hours
D. 5 hours

Answers

$90+25x=240
240-90
150/25
The answer is C.6

Kimi and her brother saved up for a board game. Kimi saved 8 dollars and her brother saved 7 dollars. together they bought the board game for 12 how much money is left over

Answers

Answer:

$3

Step-by-step explanation:

8 + 7 = 15

15 - 12 = 3

CAN SOMEBODY HELP. Unscramble the words to correctly to state a fact.

Respiration usable energy cellular create cells through

Answers

Answer:

Cells create usable energy through Cellular Respiration.

Step-by-step explanation:

If you think about it, cellular respiration is the way cells make their food, or usable energy. Therefore, the answer would be up above-------------------------^^

Almonds cost $5 per pound. Cashews cost $2 per pound. Matt purchased
a container of almonds and cashews that sells for $3 per pound. The label
was torn and says that there are 10 pounds of cashews in the container.
How many pounds of almonds are in the container?
A 5 pounds
B 10 pounds
C 15 pounds
D 25 pounds

Answers

Answer:

B 10 pounds

Step-by-step explanation:

Start with what you know.  You know that almost 5 dollars per pound. and that cashews cost 2 dollars per pound. If there are 10 pounds of cashews, that is 20 dollars worth of cashews.  then if you use your head you will figure out that there are 10 pounds.

Answer:

C

Step-by-step explanation:

Solve for x. 2/x = 6/2

A 2/3
B 1.5
C 6​

Answers

Answer:

2/X=6/2

or,2/X=3

X=2/3

Answer:

bug boy got sum balls vvvvvvvvvvvggggdhdgdhdgdhdhdhdhdhdhd

What is 3a+3b factored??? I’m confused

Answers

Answer: 3(a+b)

Step-by-step explanation:

PLEASE HELP NO LINKS

Answers

Answer:

y = -2/3x + 3

Step-by-step explanation:

( -3, 5)

Parallel slope = -2/3

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = -2/3(x + 3)

y - 5 = -2/3x - 2

y = -2/3x + 3

please answer this asap

Answers

Answer: Clair goes at 5 cups per second while Kate goes at 5 cups per 4 seconds b: 4x6

What is the vertex of this parabola?

Answers

Answer:

Step-by-step explanation:

It is the turning point, (100,0)

Answer:

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Step-by-step explanation:  it is the center so it would be 100

simplify the expression by combining like terms -3x - 8 + 7x - 1

Answers

Answer:

4x-9.

Step-by-step explanation:

-3x - 8 + 7x - 1

7x -3x=4x.

-8 -1= - 9.

4x-9

Answer the photo below thanks

Answers

Answer:

10×8×3 should give i the volume

Answer:

240

Step-by-step explanation:

3X8X10=240

..... .........................

in Wakefield, the library is 12 miles due south of the
courthouse and 5 miles due west of the community
swimming pool. What is the distance between the
courthouse and the community swimming pool?

Answers

Answer:

12 + 5 = 17

Step-by-step explanation:

Sorry need these ASAP too!

Answers

Answer:

a) 12xy

b) 30pqr

Step-by-step explanation:

multiply the numbers and since x and y are not common terms then keep them as xy multiplied with 12

same goes with b)

Answer:

a would be 12xy

b would be 30pqr

Step-by-step explanation:

Again, don't really know how to explain, just multiply the numbers and add on the letters

please answer this pdf i need the help badly and please get it right i beg of you

Answers

Answer:

1 = B

2 = 3/7

3 = B

4 = J

5 = 1/25

6 = H

7 = D

8 = G

9 = A

10 = 1/3

11 = D

Step-by-step explanation:

what is a sequence? How do I determine if a sequence is arithmetic or geometric?

Answers

Answer: Ok  So Compute successive differences of the terms. If they are all the same, the sequence is arithmetic and the common difference is the difference you have found. If successive pairs of differences have the same ratio, the sequence is geometric The common pattern in an arithmetic sequence is that the same number is added or subtracted to each number to produce the next number. This is called the common difference. The common pattern in a geometric sequence is that the same number is multiplied or divided to each number to produce the next number.and the common ratio is the ratio you have determined.

Hope this helps have a awesome day❤️

Step-by-step explanation:

Which regular polygon would have each of its interior angles measure 120°?

nonagon
hexagon
octagon
heptagon

Answers

Answer: hexagon

Step-by-step explanation:

Answer:

Its a hexagon

Step-by-step explanation:

if 4 is added to the 2 times of a number is 10. then equation will be ​

Answers

Answer:

2x + 4 = 10

Step-by-step explanation:

4 added, 2 times of a number means x times 2, the equation has to equal 10

10 different names are put into a computer, and one of them is Colin, the computer chooses 2 names at random. The computer is set so that the same name can be chosen twice. What is the probability that Colin is chosen at least once?

Answers

Answer:

0.19

Step-by-step explanation:

Given that :

Total possible outcomes = 10

If the same name can be chosen twice, then probability is with replacement ;

Probability = required outcome / Total possible outcomes

Required outcome = number of Collins in name = 1

Probability of choosing Collins atleast once ;

2[P(Collins) * P(not Collins)] + P(Collins) * P(Collins)

P(colins) = 1/10

P(not Collins) = 9/10

2(1/10 * 9/10) + (1/10 * 1/10)

2(9/100) + (1/100)

18/100 + 1/100

19/100

= 0.19

Below is the table of values of a function. Write the output when the input is n.
input
1
6
8
n

output
2
12
16

Answers

Answer:

input is doubled.

equation n×2=output

Answer:

The answer is 22

Step-by-step explanation:

The answer is 22 because as you can see, the rule is x2

1 x 2 = 2

6 x 2 = 12

8 x 2 = 16

11 x 2 = 22

Help with math please and thank you

Answers

Answer:

Option 2

Step-by-step explanation:

Option 2 is the linear function because it follows standard equation layout, which is y=mx + c

what is the value of x in the diagram below?​

Answers

You do:

130+x+5=180
x+135=180
x=45

Hope this helps!! :)

Answer:

x = 45

Step-by-step explanation:

These two angles are consecutive interior angles. This means they will add up to 180°. We use this information to make an equation.

x + 5 + 130 = 180

x + 135 = 180

x = 45

prime factorisation of 8232​

Answers

Answer:

2 x 2 x 2 x 3 x 7 x 7 x 7

Step-by-step explanation:

it is Wednesday my dudes

2 x 2 x 2 x 3 x 7 x 7 x 7 = 8,232
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