What is the vertex of the parabola in the graph?

Answer:

[tex](m-n)^{2}-9r[/tex]

Step-by-step explanation:

m²-2mn+n²-9r​

[tex](m-n)^{2}-9r[/tex]

Answer:

approximately 1.213 billion gallons of fuel will be saved per year.

Step-by-step explanation:

Distance to the store = 1/2 mile

If my car gets 30 miles to one gallons, then for 1/2 mile my car will use

1/2 ÷ 30 = 1/2 x 1/30 = 1/60 gallons

Statistics puts the number of cars users on Earth to be about 1.4 billion = 1.4 x 10^9 cars

If every driver makes this decision once a week for a year, that will be 52 times a year since there are 52 week in a year.

Total gas that will be saved in one week = 1/60 x 1.4 x 10^9 = 23333333.3 gallons

In a year that will be = 23333333.3 gallons x 52 = 1.213 x 10^9 gallons

that is approximately 1.213 billion gallons of fuel saved per year

Answer:

Step-by-step explanation:

2x + 17

twice a number 2x

more than: add

Answer:

7 + 2 × a.

Step-by-step explanation:

Take a as the number.

Twice the number means 2 multiplied by the number.

More than means addition.

So, it would be 7 + 2 × a.

It's an equation.

Radius of circle = 14ft

We have to find the area of circle[tex].[/tex]

Area of circle of radius R is given by

⇒ A = π × R²

⇒ A = π × (14ft)²

⇒ A = 196π ft²

✪ Learn More :

Area of sqaure : (side)²

Area of rectangle = l × b

Area of triangle = 1/2 × b × p

Complete question:

A book shop sold fiction books and cartoon books at a ratio of 3:5. Then, it sold four times as many fiction books and 40% more cartoon books. As a result, it sold 800 more fiction books than cartoon books. How many fiction and cartoon books were sold altogether in the end?

Answer:

3040

Step-by-step explanation:

Given the following :

Sales ratio = 3:5 (fiction : cartoon)

Let total number of books sold = x

Fiction books = 3x

Cartoon books = 5x

Four times as many fiction books = 4 × fiction books = 4*(3x) = 12x - - - (1)

40% more cartoon books = 40/100 = 0.4

5x(1.40) = 7x - - - (2)

As a result, 800 more fiction books than cartoon :

Fiction - cartoon = 800

12x - 7x = 800

5x = 800

x = 160

Substitute x into (1) and (2)

Fiction books : 12(160) = 1920

Cartoon books : 7(160) = 1120

1920 + 1120 = 3,040

Answer:

[tex] EF = 5 [/tex]

[tex] GH = 5 [/tex]

Step-by-step explanation:

Length of EFis the distance between E(-4, -3) and F (-1, 1).

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

Let,

[tex] E(-4, -3) = (x_1, y_1) [/tex]

[tex] F(-1, 1) = (x_2, y_2) [/tex]

[tex] EF = \sqrt{(-1 -(-4))^2 + (1 -(-3))^2} [/tex]

[tex] EF = \sqrt{(3)^2 + (4)^2} [/tex]

[tex] EF = \sqrt{9 + 16} = \sqrt{25} [/tex]

[tex] EF = 5 [/tex]

Distance between G(-2, -3) and H(3, -3)

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

Let,

[tex] G(-2, -3) = (x_1, y_1) [/tex]

[tex] H(3, -3) = (x_2, y_2) [/tex]

[tex] GH = \sqrt{(3 -(-2))^2 + (-3 -(-3))^2} [/tex]

[tex] GH = \sqrt{(5)^2 + (0)^2} [/tex]

[tex] GH = \sqrt{25 + 0} = \sqrt{25} [/tex]

[tex] GH = 5 [/tex]

x ≥ -8

Answer choice D is correct

x ≥ -8 represents the given inequality. Option C is correct.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here.
A number x in no less than -8,
Implies that the number x must be equal to -8 or more,
Applying the greater equal to sign(≥) between the x and -8

x ≥ -8

Thus, x ≥ -8 represents the given inequality. Option C is correct.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1

Hope it helps.

Answer:

your answer is option C.. X equal to -15

Step-by-step explanation:

x=-8-7

x= -15

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

X is C

Step-by-step explanation:

-15 + 7 = -8. hope this helped

Answer:

Expand 29 to create an equivalent expression with friendly numbers.

4(20+9) + 4(6)

Distribute the 4.

4(20)+ 4(9)+4(6)

Evaluate the multiplication

80 + 36 + 24 = 140

Step-by-step explanation:

i just took the assignment.

i hope this helps : ))

Answer:

A-20 + 9

A-4(20)+4(9)+4(6)

A-140

Step-by-step explanation

just did the assigment good luck <3

The product of a number y and 12 or 12 times a number y. These are both equivalent expressions to 12y

Answer:

One is postive and the other is negative but both are integers and whole numbers

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

difference=minus

8-(-4)

8+4=12

Answer:

h(-67) = 3158

Step-by-step explanation:

Simply plug in -67 for x:

h(-67) = -49(-67) - 125

h(-67) = 3283 - 125

h(-67) = 3158

Answer: h(-67) = 3158

Step-by-step explanation:

-49(-67)-125

3283-125

3158

Answer:

yes

Step-by-step explanation:

Rational numbers are integers, fractions, decimals, and whole numbers.

Answer:

2/3 is the answer

Answer:

2/3

Step-by-step explanation:

First you add all the colors. Then you subtract that number from 4200 to get the total number of blue buterfiles. After that, you put the total number of blue butterflies in the numerator and the 4200 would go in the denominator. Then you reduce until u get the final fraction.  

Answer:

W= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: Mean and Median change

Step-by-step explanation:

If there's an error in the data, the 3 hits will be removed causing the mean and median to be different than they were before

Answer:

2/5

Step-by-step explanation:

[tex] \frac{12}{30} = \frac{2 \times 6}{5 \times 6} = \frac{2}{5} \\ [/tex]

Answer:

1/2+1/5=7/10

Step-by-step explanation:

1/2=5/10

1/5=2/10

2/10+5/10=7/10

Answer:

0.7 or 7/10

Step-by-step explanation:

When adding fractions they always need to have the same denominators,and the one they both have similar to is being equal to 10.

1/2 will get multiply with 5 on the numinator and the denominator having you get a fraction of 5/10.

You will do the same with 1/5 multiply it with 2 on the numinator and denominator having you get  5/10.

Since the dneominators are the same you keep it 10,and just add 5 and 2. Giving you a answer of 7/10

Answer:

4a)74.692

4b)530.809

4c)1,207.034

5) i think both, they are just saying them in standard form and expanded form(Amy)

Step-by-step explanation:

Answer:

Step-by-step explanation:

n is the number of sides of the polygon

[tex](n - 2) \times 180 = 900[/tex]

Divide both sides of the equation by 180

[tex] \frac{(n - 2) \times 180}{180} = \frac{900}{180} \\ n - 2 = 5 \\ n = 5 + 2 \\ n = 7[/tex]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,-3) and (-4,7)

The midpoint is

We have the final answer as

Hope this helps you

Answer:

a · b  = 28 units

Step-by-step explanation:

Given vectors

a = (-5, 1/2)

b = (-5, 6)

The scalar or dot product of the two vectors, given by a · b is

a · b  = (-5, 1/2) · (-5, 6)

To solve this, multiply the first term in a with the first term in b and add the result to the product of the second term in a and the second term in b. i.e

a · b  = (-5 x -5) +  (1/2 x 6)

a · b  = 25 + 3

a · b  = 28

Therefore, the dot product of a and b is

a · b  = 28 units

Answer:

$3.06

Step-by-step explanation:

$26.50+$9.50=36

$36.00+8.5%=39.06

Answer: √72 and √23

Step-by-step explanation:

if its only one answer you need pick √72

Answer:

Am doing this one to right now

Step-by-step explanation:

Answer: four, zero, eighty five, four hundred and two hundred ninety six hundredth, zero and three hudred and six thousandsths  

Step-by-step explanation:

Answer:

Step-by-step explanation:

6/9 - 6/9 = 0

Answer:

= x^4 y^5 / 3

Step-by-step explanation:

I got this answer  = x^4 y^5 / 3

But my answer is not found directly

And I think they deliberately set up this arrangement to make us mess up

, but in your Options I think it's ( B )