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stich3 [128]
3 years ago
10

Solve the inequality for x, assuming that a, b, and c are positive constants.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
4 0
A(bx − c) ≥ bc, implies (bx − c) ≥ bc /a  and then  bx  ≥ bc/a + c, x<span>≥ c/a +c/b
so the solution is </span><span>3. [c/a + c/b, infinity)</span>
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Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

m^2-13m-30

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

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If you don't want to apply the method above, you can use the quadratic formula:

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Where:

a=1\\b=-13\\c=-30

When you susbstitute values you obtain that:

x=15\\x=-2

Then you can rewrite the equation as (m-15)(m+2)

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