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

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].

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]

Answer:

7.34846923

Step-by-step explanation:

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:

Answer:

See attachments

Step-by-step explanation:

Hope this helps.

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

Answer:

D. the length of a car

Step-by-step explanation:

A car's measurement is always measured in meters.

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]

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

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

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:

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?

Let the miles walk by Chelesy be x

Now,

x = 4 + 2.8

x = 6.8 miles

Therefore,

[tex] \\ [/tex]

Answer:

its 1/10

Step-by-step explanation:

4/10-3/10=1/10

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.

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]

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

Answer:

33

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

intersection?

Step-by-step explanation:

Answer:

2=3^2?????

Step-by-step explanation:

y=x^2

(3,2)

substitute

2=3^2

Answer:

okay, we'll leave you to it

good luck

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

Answer:

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

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.

Answer:

80 : n < 32

Step-by-step explanation:

100-20=80

Answer:

its 22 because it is going by 3

Answer:

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