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Talja [164]
3 years ago
8

What is the equation for the graph shown below?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

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To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x – 30.
Assoli18 [71]

Answer:

x = - 3, x = \frac{5}{2}

Step-by-step explanation:

Given

4x² + 2x - 30 = 0 ( divide through by 2 )

2x² + x - 15 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 15 = - 30 and sum = + 1

The factors are + 6 and - 5

Use these factors to split the x- term

2x² + 6x - 5x - 15 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) - 5(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(2x - 5) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = \frac{5}{2}

4 0
4 years ago
You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000
chubhunter [2.5K]
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Find the measure of angle x in the figure below.
baherus [9]
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Answer:

1/2

Step-by-step explanation:

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