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Pavel [41]
2 years ago
10

What is the equation in vertex form of the quadratic function that has a vertex at (6,-7)

Mathematics
1 answer:
Alona [7]2 years ago
7 0

Good evening

Answer:

f(x) = (x - 6)² − 7.

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?????????????????????????
Monica [59]

Answer:

Interest earned = $32.835

Step-by-step explanation:

Given the following data;

Principal = $275

Number of times = 0.5

Interest rate = 2.9% = 0.029

Time = 4 years

To find the interest earned, we would use the compound interest formula;

A = P(1 + \frac{r}{n})^{nt}

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

A = 275(1 + \frac{0.029}{0.5})^{0.5*4}

A = 275(1 + 0.058)^{2}

A = 275(1.058)^{2}

A = 275(1.1194)

A = $307.835

Interest earned = 307.835 - 275

Interest earned = $32.835

5 0
3 years ago
What is the value of 20 ÷ (-4)?​
DerKrebs [107]

Answer:

-5

Step-by-step explanation:

20 ÷ (-4)=-5

8 0
3 years ago
Which equation represents a line that is perpendicular to the line with equation y=2x-8? Select all that apply
lianna [129]

Answer:

B, C, E

Step-by-step explanation:

you need to find lines whose slope is the negative reciprocal of the slope from the line you are solving for. in this case, all lines with the slope -1/2 are Perpendicular to a line with the slope of 2

8 0
2 years ago
If f(x) = x2 − x − 12 and g(x) = x2 − 16, find f(x) × g(x).
Andreyy89

Answer:

f(x) × g(x)= x^4 - x^3 - 28x^2 + 16x + 192

Step-by-step explanation:

We have the function f(x) = x^2 − x − 12  and g(x) = x^2 − 16 and we need to find the multiplication of both functions.

f(x) × g(x) = ( x^2 − x − 12)(x^2 − 16) = x^4 - 16x^2 -x^3 + 16x -12x^2 + 192

Simplifying:

f(x) × g(x)= x^4 - x^3 - 28x^2 + 16x + 192

7 0
3 years ago
Read 2 more answers
A triangular prism has a height of 10 cm and a base area of 12 cm2. A rectangular prism has a height of 10 cm and base dimension
Makovka662 [10]

The solids have the same volume.

<h3>What is Volume?</h3>

Volume is the measure of the capacity that an object holds.

Volume of triangular prism be

= Base area * height

= 12*10

=120 cm³

Volume of rectangular prism be,

=10*3*4

=120 cm³      

Learn more about volume here:      

brainly.com/question/1996004

#SPJ1

7 0
2 years ago
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