Convert the equation to vertex form.
y = x2 – 8x + 10

Answers

Answer 1

Answer:

Step-by-step explanation:

y = (x² - 8x) + 10

Complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = (x²-8x + 4²) - 4² + 10

y = (x-4)² - 6

Answer 2

Answer:

y = (x - 4)² - 6

Step-by-step explanation:

use the 'completing the square' method:

x² - 8x + 10 = 0

x² - 8x + 16 = -10 + 16

(x - 4)² = 6

y = (x - 4)² - 6


Related Questions

Which of the following situations
represents a proportional relationship?
A. A cheeseburger is $7.95 plus $ 1.00 for
each additional topping.
B. A pool fills at a rate of 90 gallons per hour.
C. A health club charges a $40.00
membership fee plus $25.00 per month.
D. A bank account begins with $350.00 and
gains $30.00 per month.

Answers

Answer:

I think the answer is C. : a health club charges a $40.00 membership fee plus $25.00 per month.

A triangle with side lengths of 6 meters, 9 meters and 8 meters
A. No triangle
B. Unique triangle
C. More than one triangle

Answers

Answer:

B). Unique Triangle

Step-by-step explanation:

This lengths make a right triangle therefore it is unique.

Answer:

the answer is b. because if there is a 90 angle it is a unique triangle

Step-by-step explanation:

Solve the following problem and choose the best answer.
Question
Favian received a $100 gift card to a clothing store. Using only the gift card, he was able to purchase n
sweaters that cost $32 each and 1 belt for $20. If there was no tax on the sweaters and belt, which of the
following must be true?
O 80 : n> 32
O 32 :n> 80
0 80 : n < 32
O 100 – 32n< 20

Answers

Answer:

80 : n < 32

Step-by-step explanation:

100-20=80

A local ice cream store wanted to see if there was a linear relationship between average temperature on any given day and their ice cream sales. After recording sales and temperatures for 15 randomly selected days they calculated b1 to be equal to 1.24 and a standard error of b1 to be equal to 2.59. Using the appropriate equation, calculate the test statistic is to test if there is a linear relationship between these two variables. Round to two decimal places as necessary. 0.48.

Answers

Answer:

the test statistic is  0.48

Step-by-step explanation:

Given that;

sample size n = 15

slope of regression b1 = 1.24

Standard of error SE = 2.59

now,

The hypothesis;

Null hypothesis H₀ : B1 = 0

Alternative hypothesis H₁ : B1 ≠ 0

If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.

Test Statistic

t = b1 / S.E

we substitute

t = 1.24 / 2.59

t = 0.4787 ≈ 0.48

the test statistic is  0.48

Bir bahçede 18 elma, 24 armut ve 63 kiraz ağacı bulunmaktadır. Bu bahçedeki kiraz ağaçlarının sayısı toplam ağaç sayısının yüzde kaçıdır ?
Lütfen acil cevaplayabilir misiniz ​

Answers

18+24+63=? işlemini yapman gerek sonra sonuçtan ?-63=? işlemini yapacaksın sonra o sonucu 100 e bölüp sonucu bulcan

Multiple Choice
Which would you measure in meters?
O A. the length of a pencil
o
B. the capacity of a cup
C. the mass of a puppy
O
D. the length of a car

Answers

Answer:

D. the length of a car

Step-by-step explanation:

A car's measurement is always measured in meters.

Estimate the square root of -54 to the nearest integer

Answers

Answer:

7.34846923

Step-by-step explanation:

solve the system of equations for X and Y
y=x+5
y=2x+2

Answers

x+5=2x+2
5-2=2x-x
3=x
y=(3)+5
y=8

Maria is making 2 liters of cherry lemonade, 5 deciliters of lime lemonade, and 2,500 milliliters of strawberry lemonade for a party. After the party was over, she still had a total of 1.3 liters of lemonade left. How many liters of lemonade were consumed during the party? Enter only the number. Do not include units.

Answers

Answer:

3.2 liters were consumed during the party

There are a total of 2000+500+2500=5000 millileters of lemonade at the beginning.

Now there is 1.3 liters left, 5000-1300=3700milliliters=3.7 liters of lemonade is consumed during the party

How long is the segment from (-5,2) to (5,-8)

Answers

Answer:

[tex]\boxed{\textsf{ The lenght of segment is \textbf{ 10}$\sqrt{\textbf{2}} $ \textbf{ units }.}}[/tex]

Step-by-step explanation:

We need to find the lenght of the segment drawn from (-5,2) to (5,-8) . Basically here we need to find the distance between the two points .

Here we can use Distance Formula , which is used to find the distance between two points .

[tex]\rule{200}2[/tex]

Distance Formula :-

If we need to find the distance between two points say , [tex]\sf ( x_1,y_1 ) \:\:\:\: \& \:\:\:\: ( x_2,y_2) [/tex] , then we can find out the distance as ,

[tex]\boxed{\boxed{ \sf Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]

[tex]\rule{200}2[/tex]

Put on the respective values ,

[tex]\sf\implies Distance =\sqrt{ ( x_2-x_1)^2+(y_2-y_1)^2 } \\\\\sf\implies Distance =\sqrt{ ( -5-5)^2+(2+8)^2 }\\\\\sf\implies Distance= \sqrt{ (-10)^2+(10)^2 }\\\\\sf\implies Distance =\sqrt{ 100+100}\\\\\sf\implies Distance =\sqrt{200}\\\\\sf\implies Distance =\sqrt{2\times 10\times 10}\\\\\sf\implies \boxed{\pink{\frak{ Distance = 10\sqrt{2} \:\; units }}}[/tex]

More than​ 75% of Americans answer yes when​ asked, "Do you favor cracking down against illegal gun​ sales?" but more than​ 75% say no when​ asked, "Would you favor a law giving police the power to decide who may own a​ firearm?"

a. Which statistic would someone who opposes gun control prefer to​ quote?

b. Explain what is wrong with the wording of each of these statements.

Answers

Step-by-step explanation:

Consider the case "Gun control"

(a). The second option,

"Would you favor a law giving police the power to decide who may own a​ firearm?"

is more favourable question to be asked for someone who opposes gun control.

Because it is expected that most americans would answer that they opposes that giving the police so much power and would likely to oppose Gun Control.

(b). How a Survey question is worded affects the result. Advocates who can afford to sponsor their own surveys can shape the result to try to demostrate support for their position.

Gun Control advocates may phrase a question

"Do you favour cracking down against illegal  gun sales?"

While gun control opposition would ask

"Would you favour or oppose  alaw giving the police the power to decide who may or may not own a firearm?"

Both question could result in both side of the issue appearing to having the majority of the people supporting their position. In this example a public opinion seems to divide into minorities at the 2 extremes, some favoring a ban on all guns others oppose any Gun COntrol. and a large middle mass that, presumably, favours keeping guns out of the hands of "Bad" people while letting "Good" people have guns.

The complexity of public opinion can be hard to recognize when our information comes from surveys sponsored by advocates who word questions to produce the results they desire.

Rewrite this division expression as an equivalent multiplication expression 5/8 ÷ 2/3​

Answers

Answer:

The equivalent multiplication expression is [tex]\frac{5}{8} \times \frac{3}{2}[/tex]

Step-by-step explanation:

Division of fractions:

A division of fractions is the same as the multiplication of the numerator by the inverse of the denominator.

5/8 ÷ 2/3​

So numerator is 5/8, denominator is 2/3

[tex]\frac{\frac{5}{8}}{\frac{2}{3}} = \frac{5}{8} \times \frac{3}{2}[/tex]

The equivalent multiplication expression is [tex]\frac{5}{8} \times \frac{3}{2}[/tex]

What is blank _+ 5 = 5 + 9 ?

And 16 • 4 = • 16?

Answers

Answer:

The first one would be 9

The second one would be 4

Step-by-step explanation:

By adding the same numbers, you make the equations equal and therefore true.

what is the area of 11/5 and 15 inches

Answers

Answer:

33

Step-by-step explanation:

Brunhilda has 6 children. She plans to give the same amount of pocket money (x dollars) to each of her children. She puts all this money into a jar that already has $50 in it.

Answers

Answer:

She kills all 6 and takes the money and keeps it for her self.

write the equation of the image y=x^2 after vertically stretched by a factor of 2 and horizontally shifted 3 units to the left​

Answers

Answer:

2=3^2?????

Step-by-step explanation:

y=x^2

(3,2)

substitute

2=3^2

f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)

Answers

Given:

The functions are

[tex]f(x)=-5x^2+4x-9[/tex]

[tex]g(x)=8x^2-3x-4[/tex]

To find:

The value of (f+g)(x).

Solution:

We know that,

[tex](f+g)(x)=f(x)+g(x)[/tex]

Putting the given functions, we get

[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]

On combining like terms, we get

[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]

[tex](f+g)(x)=3x^2+x-13[/tex]

Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].

Help please and thank you

Answers

Answer:

its 22 because it is going by 3

22 for day 10 the height will be 22 Becuase it goes by 3

9 students try out for 3 openings on the school soccer team. How many ways can 3 students be chosen out of 9?
A.
9
B.
27
C.
84
D.
504

Answers

Answer is B.27 you have to multiply the 9 and 3 hope that helps

I need help please it will mean a lot

Answers

Answer:

The answer is B (2).

Step-by-step explanation:

Answer:

2

you replace the w with 30

30/6=5

then you subtract 3

5-3=2

4/10-3/10


how do i do this please hurryyyy

Answers

Answer:

its 1/10

Step-by-step explanation:

4/10-3/10=1/10

Mayra bought x grams of rice. Anika bought 1/3 more than mayra bought.

Answers

1/3x is the answer.....

Hell please please please

Answers

First find the volume of the hemisphere which is 32.725 in
Then find the volume of the cylinder which is 549.78 in
Then add them together - 32.725 + 549.78 = 582.505
Finally round it to the nearest whole number which is 583
The final answer should be 583

8x5/7 show work plz put the answer in simplest form

Answers

Answer:

5.7?

Step-by-step explanation:

Not sure if this is what you were needing, but 8x5 divided by 7 equals 5.7

Answer:

The answer is 5. 71

Step-by-step explanation:

[tex] \frac{5 \times 8}{7} = \frac{40}{7} = \frac{35}{7} + \frac{5}{7} \\ = 5 + .71 \\ = 5.71[/tex]


Divide 4/5 * 1/10
Blank 1:

Answers

Find the reciprocal of the divisor
Reciprocal of
1
10
:
10
1
Now, multiply it with the dividend
So,
4
5
÷
1
10
=
4
5
×
10
1
=
4 × 10
5 × 1
=
40
5
After reducing the fraction, the answer is
8/1

Please help and answer all questions from the attachments. Will give brainliest to correct answers from attachments.

Answers

Answer:

See attachments

Step-by-step explanation:

Hope this helps.

No need to answer :)

Answers

Answer:

okay, we'll leave you to it

good luck

Each day after school, Chelsey runs 2.8 miles farther than Kyle.


Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.
plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Answers

Answer:

6.8 miles

Step-by-step explanation:

First, create the equation representing Chelsey's miles compared to Kyle's:

c = k + 2.8

Next, find how many miles Chelsey runs if Kyle runs 4 miles.

Plug in 4 as k into the equation:

c = k + 2.8

c = 4 + 2.8

c = 6.8

So, Chelsey runs 6.8 miles

Answer:

Question :-

Each day after school, Chelsey runs 2.8 miles farther than Kyle.

Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.

plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Solution :-

Let the miles walk by Chelesy be x

Now,

x = 4 + 2.8

x = 6.8 miles

Therefore,

x = Kyle's mile walked + 2.86.8 miles

[tex] \\ [/tex]

Two lines meet at a point that is also the vertex of an angle.

Answers

Answer:

true

Step-by-step explanation:

Answer:

intersection?

Step-by-step explanation:

My friends last question pls answer ASAP

Answers

Answer:

64

Step-by-step explanation:

just count the blocks!

We should seperate the shape into 2 rectangles.

For the 1st one, we should find the volume by multiplying 2 by 3 by 4

This equals 24 cubic units

The 2nd shape's volume is found by 2 by 5 by 4

This equals 40 cubic units

Now we add the 2 volumes to equal 64 cubic units

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