What quantities are being compared? (If there are x- and y- axes, what do they represent?)

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Here is how to do it.

How to calculate axis of symmetry:

Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get:

How to calculate vertex:

The vertex form of a quadratic is given by

y = a(x – h)2 + k, where (h, k) is the vertex.

The "a" in the vertex form is the same "a" as

in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)

In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. That is, the smallest value y can be is just k; otherwise y will equal k plus something positive. When does y equal only k? When x – h, the squared part, is zero; in other words, when x = h. So the lowest value that y can have, y = k, will only happen if x = h. And the lowest point on a positive quadratic is of course the vertex.

If, on the other hand, you suppose that "a" is negative, the exact same reasoning holds, except that you're always taking k and subtracting the squared part from it, so the highest value y can achieve is y = k at x = h. And the highest point on a negative quadratic is of course the vertex.

Answer:

B is the correct answer.

Step-by-step explanation:

Let the number be x

6a+6= a-9

collect the like terms

5a=-15

a= -3

6(-3) +6= -3 -9

-12= -12

The number is -3

Answer:           696

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Numerator:18 divided by 2=9       9 times 3= 27

Denominator:3

27/3=9

Answer:

Yes ! After 3.5 hours, it will be over half full !

Step-by-step explanation:

In the photo :)

Answer:

the independant variable is x

The Correct choices are :

Answer:

Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!

Step-by-step explanation:

Answer:

Compare the unit rates.

The unit rate shows the cost for each ounce.

The lesser unit rate costs less per ounce.

The brand with the lesser unit rate is the better value.

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

32 + 32 + 126 = 180

This means that a triangle can be formed, as the angles add up to 180°.

Answer:

y = -1/7x + 4

Step-by-step explanation:

(3-5)/(7-(-7)) = -2/14 = -1/7

3 = -1/7(7) + b

3 = -1 + b

b = 4

Answer:

100

Step-by-step explanation:

Because Jasmine plus 9 friends equal to 10. And each person gives away 10 free samples. 10 times 10 equals to 100. Hope it helps and I’m so sorry if I’m wrong.

Answer:

Its 100

Step-by-step explanation:

because 10x10 equals 100 (PLUS JASMINE) you have to add jasmine or else it would be incorrect.

Answer:

EF is 26 did you go to school at all god

Answer:

26

Step-by-step explanation:

Answer:

-[tex]\frac{9}{2}[/tex] = -4.5

Step-by-step explanation:

-9 ÷ 2

Fraction [tex]\frac{-9}{2}[/tex] can be written as [tex]-\frac{9}{2}[/tex] by extracting the negative sign.

[tex]-\frac{9}{2}[/tex]

Factor:

[tex]\frac{(-1)x3^{2} }{2}[/tex] = -4.5

Answer:

x^2 - 6x + 8 = 0

Step-by-step explanation:

Answer:

(x-3)^2 = 17

Step-by-step explanation:

Plato/Edmentum

Answer:

below

Step-by-step explanation:

You didn't show the triangle, but we suppose the coordinate of B is (x,y)

when it reflect over the line x=-1, (x , y) - > (- (x - (-1)) , y) ==>  (- (x+1) , y)

then translate (x+2,y-5) : (-(x+1) , y) -> - (-(x+1)+2 , y-5) ==>  (-x+1 , y-5)

such as (5,3) -> (-6,3) -> (-4 , -2)

Answer:

You work for x hours and earn $20 for each hour. You get paid $60 before you come in each day. What is y when you work for x hours?

Step-by-step explanation:

x is the independent variable and can vary. You have to add the $60 in there, too. Adding them together gets you to y = 20x + 60 and this real life scenario works.

Answer:

x=12

Step-by-step explanation:

they are equal to each other, so you set 10x-48 equal to 6x and solve.

Answer:

65%

Step-by-step explanation:

$2 = 5%

So $26 = 65%

Answer:

$26 is 65%​ of $40​.

Step-by-step explanation:

26: 40*100 =

(26*100): 40 =

2600: 40 = 65

Answer:

Sum is 14

Step-by-step explanation:

c = -6

a = -3/2

m = -24/5

Step-by-step explanation:

5(c + 2) = -20

5c + 10 = -20

5c = -20 - 10

5c = -30

c = -6

12a + 5 - 8a = -1

4a + 5 = -1

4a = -1 - 5

4a = -6

a = (-6)/4

a = -3/2

m - 3 - 6m = -27

-5m - 3 = -27 → (times -1)

5m + 3 = 27

5m = 27 - 3

5m = 24

m = 24/5

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Learn more here: https://brainly.com/question/2159099

Answer:

D.

Step-by-step explanation:

Use Pythagoras to solve for the longest side of the triangle

Add up the side lengths to find the perimeter

Multiply half the base by the height for the area

Answer:

The answer is 4x^2-14x+28-69/x+2

Step-by-step explanation:

I just simplified what I could simply. I have tested to see if this is 100% correct and it is. Have a good day! :D

Answer:

x=11/10=1.100

Step-by-step explanation: