The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?(–3, –7)
(3, –7)
(24, –7)
(–24, –7)

Answers

Answer 1

Answer: The answer is (3, -7). If the function is written in the form y = a(x – h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x + 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2 – 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8 * 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7. The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k = -7. Thus, the vertex is (3, -7).

Answer 2

Answer:

Answer:

the answer is B

Step-by-step explanation:

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What is the midpoint of AB if A(6,-2) and B(10,4)

Answers

Answer:

(8, 1)

Step-by-step explanation:

Lets say you had 2 points, (x₁, y₁) and (x₂, y₂). The midpoint of these two lines would be:

$((x_1+x_2)/(2),(y_1+y_2)/(2))$

Lets use (6, -2) for (x₁, y₁) and (10, 4) for (x₂, y₂):

$((6+10)/(2),((-2)+4)/(2))=((16)/(2),(2)/(2))=(8,1)$

So the midpoint of AB would be (8, 1).

I hope you find my answer helpful.

Two ways you can evaluate 15(90-3)

Answers

15 of 90 minis 3 15 times 90 minus 3

15(90-3)
first way
15 times 90 = 135
15 times 3 = 45
135 - 45 = 90
second way
90-3 = 87
15(87) = 1305
.................................
First way is more likely to be correct....

You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy

Answers

Answer:

6 movies

Step-by-step explanation:

45-30=15 spent on movies

divide the 15 by 2.5 to get 6.

$30+$2.50m=$45

where m is the amount of movies

Answer:

let he purchaseed x movies

30 + 2.5x = 45

or 2.5x = 15

x=15/2.5 =6

Step-by-step explanation:

What is the sum of the polynomials 8x^2-7x+3 and 2x^2 +10x-5

Answers

Answer:

10x^2 + 3x - 2

Step-by-step explanation:

Final answer:

To find the sum of the polynomials, add the like terms together. The sum of the given polynomials is 10x^2 + 3x - 2.

Explanation:

To find the sum of the polynomials, you need to add the like terms together. Start by adding the coefficients of the x-squared terms, which are 8 and 2. This gives you 10x^2. Then, add the coefficients of the x-terms, which are -7 and 10. This gives you 3x. Finally, add the constant terms, which are 3 and -5. This gives you -2. So, the sum of the polynomials is 10x^2 + 3x - 2.