Which is the completely factored form of 3x^2-12x-15

Mathematics

1 answer:

Luba_88 [7]3 years ago

6 0

Find the GCF (Greatest Common Factor)

GCF = 3

Factor out the GCF ( Write the GCF first. Then, in parentheses, divide each term by the GCF)

3(3x^2/3 + -12x/3 - 15/3)

Simplify each term in parentheses

3(x^2 - 4x - 5)

Factor x^2 - 4x - 5

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Which function has the largest amplitude?

frutty [35]

<h3>Answer: Choice A</h3>

The -3 out front of that function means |-3| = 3 is the amplitude, which is the largest of the four functions.

In general, the sine function is

y = A*sin(B(x-C)) + D

where |A| is the amplitude. In the first answer choice, A = -3 so |A| = |-3| = 3.

Cosine has the same format since cosine is just a phase shift of sine.

4 0

3 years ago

Please help I found this one a bit confusing

Brums [2.3K]

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that $a^2+b^2=c^2$ . If we plug the side lengths in for a and b, we get $4^2 + 6^2 = c^2$ . This can be simplified to $16+36=c^2$ , or $52 = c^2$ . If we root both sides, we find that c is equal to $\sqrt{52}$ , which is slightly more than 7, at around 7.2.