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netineya [11]
3 years ago
13

Which of the following represents the function f(x) = x2 − 14x − 1 in vertex form? Identify the vertex.

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0
The vertex is (7,-50) 
***rewrite in standard form***
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Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

6 0
2 years ago
Quisssssssss !!!!<br><br>x + 2x + 9y - 7y​
fomenos
<h2>{\orange {\boxed {\colorbox {black} {\orange {King\:Brainly01}}}}}</h2>

\:

◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

x + 2x + 9y - 7y

3x + ( 9y - 7y )

3x + 2y

◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

\:

4 0
2 years ago
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What’s the answer to this problem?
motikmotik
Answer is c 4.7ft...
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3 years ago
If AC=36 and BC= 18, find AD. Round to the nearest tenth, if necessary.​
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Answer:

C. 27

Step-by-step explanation:

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A stack of bricks has a
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Answer: 456 inches cubed

Step-by-step explanation:

Volume is the area of the base multiplied by the height so you have to do 38 times 12 to get 456.

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