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Zepler [3.9K]
3 years ago
6

-6p + 30 = 12 please explain this problem please thankyou.

Mathematics
1 answer:
goblinko [34]3 years ago
7 0
The answer is p=3, here is the process and the steps to find the answer.

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Find the radian measure of the angle with the given degree measure. Round your answer to three decimal places.
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Step-by-step explanation:

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Harry earns an hourly rate of $15. For each additional hour over 40 hours, he earns 150% percent of his regular hourly rate. Las
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3 years ago
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If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
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f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

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so

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We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

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3 years ago
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Which part of the graph best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ –1?
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<span>The part of the graph that best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ –1 is Part C.</span>
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