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3 years ago

Which equation is y = 3(x – 2)2 – (x – 5)2 rewritten in vertex form?

1 answer:

4 0

Y= 3( x -2 )² - ( x-5 )² = 3 ( x² - 4 x + 4 ) - ( x² - 10 x + 25 ) =
= 3 x² - 12 x + 12 - x² + 10 x - 25=
= 2 x² - 2 x - 13 =
= 2 ( x² - x + 1/4 - 1/4 ) - 13 =
= 2 ( x - 1/2 )² - 1/2 - 26/2 = 2 ( x - 1/2 )² - 27/2
Answer: D)

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Assume that y varies inversely with x. if y = 16 when x = 1/2, find y when x=32

MissTica

y varies inversely with x.

Example:

If we multiply x by 2 we need to divide y by 2 too.

So,

If y = 16 and x = 1/2, find y when x = 32

Lets see, from 1/2 to 32 e need to multiply 1/2 by 64, right? So let's divide 16 by 64.

16/64 = 8/32 = 4/16 = 2/8 = 1/4

So we can say that:

If y = 16 when x = 1/2, y = 1/4 when x = 32.

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3 years ago

At 7:00 a.m., the temperature in Belleville, Ontario was -4°C. The

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1°C is the temperature at noon.

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3 years ago

What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1?

o-na [289]

Answer: 4

There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.

Long Division:

3x + 7

2x - 1 ) 6x² + 11x - 3

- (6x² - 3x) ↓

14x - 3

- (14x - 7)

Synthetic Division:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

$\frac{1}{2}$ | 6 11 -3

| ↓ 3 7

6 14 4

Remainder Theorem:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

f(x) = 6x² + 11x - 3

f( $\frac{1}{2}$ ) = 6( $\frac{1}{2}$ )² + 11( $\frac{1}{2}$ ) - 3

= 6( $\frac{1}{4}$ ) + $\frac{11}{2}$ - 3

= $\frac{3}{2}$ + $\frac{11}{2}$ - $\frac{6}{2}$

= $\frac{8}{2}$

= 4

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Answer:

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Step-by-step explanation:

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