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Andrews [41]
3 years ago
7

What is f(x)=8x^2+4x written in vertex form

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0

Answer:

f(x) = 8 (x + ¼)² − ½

Step-by-step explanation:

f(x) = 8x² + 4x

Divide both sides by 8.

1/8 f(x) = x² + 1/2 x

Take half of the second coefficient, square it, then add to both sides.

(½ / 2)² = (1/4)² = 1/16

1/8 f(x) + 1/16 = x² + 1/2 x + 1/6

Factor the perfect square.

1/8 f(x) + 1/16 = (x + 1/4)²

Multiply both sides by 8.

f(x) + 1/2 = 8 (x + 1/4)²

Subtract 1/2 from both sides.

f(x) = 8 (x + 1/4)² − 1/2

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What is the sum of x^2 - 3x + 7 and 3x^2 + 5x - 9
Dmitrij [34]

Hey there!

The answer to your question is 4x^2+2x-2

Given:

x^2-3x+7 and 3x^2 +5x-9

First, we can start by adding like terms. The following are like terms:

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Now, we can add these pairs together, giving us:

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7 0
3 years ago
An angle measures 149.2° more than the measure of its supplementary angle. What is the measure of each angle?
Oksanka [162]
<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>

15.4^{\circ} and 164.6^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are supplementary to each other add up to 180^{\circ}.

Let a be the measure of the supplementary angle.

If an angle is 149.2^{\circ} more than its supplementary angle, the measure of that angle is a +149.2. The sum of both angles are expressed a +(a +149.2) but since the have to add to 180 as they are supplementary, a +(a +149.2) = 180.

Solving for a:

a +(a +149.2) = 180 \\ a +a +149.2 = 180 \\ 2a +149.2 = 180 \\ 2a +149.2 -149.2 = 180 -149.2 \\ 2a = 30.8 \\ \frac{2a}{2} = \frac{30.8}{2} \\ a = 15.4

Since the other angle measures a +149.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +149.2:

a +149.2 \\ 15.4 +149.2 \\ 164.6

The measure of the angles are 15.4^{\circ} and 164.6^{\circ}

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Answer:

They drove 150 miles on the 3rd day.

Step-by-step explanation:

Use a ratio to solve:

miles : hours

300  :    6

250  :    5

 50   :     1

  x     :     3

x would be 150 miles

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