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anastassius [24]
3 years ago
5

The table shows the Grades that students received on a test what fraction of the students scored an A or B on the test

Mathematics
1 answer:
Triss [41]3 years ago
5 0
Okay. So, 15% is 15/100 and 33% is 33/100. 15 + 33 is 48. You leave the denominator the same, so the fraction is 48/100. However, the fraction needs to be simplified. Whatever you do to the numerator, we must do to the denominator. We can divide both numbers by 4 to get the simplified fraction form. 48/4 is 12. 100/4 is 25. There. The simplified fraction is 12/25. The answer is H: 12/25.
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16

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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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There's no if about it, 

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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-3 = -1 (1)(-r) = r

so

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

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

8 0
3 years ago
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Paul [167]
The answer is B(533)
7 0
3 years ago
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