Answer:
9 and -6 multiply to -54 and add to 3
Step-by-step explanation:
when listing the factors of 54, we can find a pair that add to 3
1, 2, 3, 6, 9, 18, 27 and 54
9 and -6 is the pair.
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The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:
<em>y</em> = <em>x</em>² - 9<em>x</em> → d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9
When <em>x</em> = 4, the function takes on a value of
<em>y</em> = 4² - 9•4 = -20
and the derivative is
d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1
Then use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-20) = -1 (<em>x</em> - 4)
<em>y</em> + 20 = -<em>x</em> + 4
<em>y</em> = -<em>x</em> - 24
The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is
<em>y</em> - (-20) = 1 (<em>x</em> - 4)
<em>y</em> + 20 = <em>x</em> - 4
<em>y</em> = <em>x</em> - 24
A.) -13
b.) 17
c.) 80
d.) 1
All your doing is substituting x for the number in the parenthesis and matching it with the correct function. For example, f(-3) would be 2(-3)-7 which is equal to -6-7 which is -13.
Answer:
5 vertices
Step-by-step explanation:
At base = 4 vertices
On top = 1 vertex
Total = 5 vertices
