Which phrases can be represented by the expression 60w? Check all that apply.
2 answers:
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9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
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The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of our slope because
in this step. In our case our slope is
so in this step it becomes
.
Moving onto the second part which is to get the reciprocal of the number which means that if we have then we would switch it to
. In our case our number is
so we would make that into a fraction like this
.
In conclusion, our final slope of the perpendicular line is .
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