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Ksenya-84 [330]
4 years ago
8

Find the vertex: -4x² + 16x - 7​

Mathematics
1 answer:
guapka [62]4 years ago
7 0

Find the vertex: -4x^2 + 16x - 7​

Vertex = ( x, f(x)).

x = -b/2a

x = -16/2(-4)

x = -16/-8

x = 2

f(x) = -4x^2 + 16x - 7

Let x = 2

f(2) = -4(2)^2 + 16(2) - 7

f(2) = -4(4) + 32 - 7

f(2) = -16 + 32 - 7

f(2) = 16 - 7

f(2) = 9

Vertex = (2, 9)

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Solve for y<br> 2(3 + 3y) + y = 11
garik1379 [7]
<h2><u>EQUATION</u></h2><h3>Exercise</h3>

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

\dfrac{7y}{7} = \dfrac{5}{7}

\boxed{y = \dfrac{5}{7}}

<h3><u>Answer</u>. The value of y = 5/7.</h3>

8 0
3 years ago
Find the coordinates of the
Dovator [93]

Answer:

(1.5, -1.77)

Step-by-step explanation:

See attached worksheet.

8 0
2 years ago
Determine the vertex of the function f(x) = 2(x − 5)2 + 8.
choli [55]

Answer:

Vertex ( 5 ,8) .

Step-by-step explanation:

Given  : f(x) = 2(x − 5)² + 8.

To find : Determine the vertex of the function .

Solution : We have given

f(x) = 2(x − 5)² + 8.

Vertex form of parabola  : f (x) = a(x - h)² + k, where (h, k) is the vertex.

On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.

a = 2 , h = 5 , k = 8 .

Vertex ( 5 ,8) .

Therefore, Vertex ( 5 ,8) .

7 0
3 years ago
Read 2 more answers
Which expression is not equivalent to 8 + (n - 4)?<br> n +4<br> (8 + n) - 4<br> 12 + n<br> (8-4) +n
Alenkasestr [34]

Answer:

12+n

Step-by-step explanation:

8+n-4 = n+4

n+4 = n+4 (Can not be simplified).

(8+n)-4 = n+4

12+n = 12+n (Can not be simplified).

(8-4)+n = n+4

So the answer would be 12+n because it does not equal n+4.

4 0
4 years ago
Find the zeros K(x) = -x²+ 2x + 15 EXPLAIN EVERY STEP!
Mumz [18]
Take out - 1
k(x) = -1(x^2 - 2x - 15) Now factor what's inside the brackets. The numbers you pick must add to - 2 and multiply to -15. 
When you multiply to -15 you should note that one of the numbers is plus and the other is minus.
(x -  )(x +  ) is the way it looks.
They differ by 2 and the "largest" one is minus. That means your answer is -5 and +3
k(x) = - (x - 5)(x + 3)
Now for the zeros.
x - 5 can be a zero
x - 5 = 0
x = 5

x + 3 = 0
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5 0
3 years ago
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