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KonstantinChe [14]
3 years ago
10

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for h(f(x)).

Mathematics
1 answer:
givi [52]3 years ago
6 0
2(x-7)+3=2x-11
so h(f(x))=2x-11
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Vertex of x^2-10x+30
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The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.

Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30

Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25

Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.

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(-9) + (-4) =
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\\ \bull\sf\longmapsto -9+(-4)=-9-4=-13

\\ \bull\sf\longmapsto +3-(-5)=3+5=8

\\ \bull\sf\longmapsto 2\times 2=4

\\ \bull\sf\longmapsto 36+4=40

\\ \bull\sf\longmapsto 5\times 7=35

\\ \bull\sf\longmapsto 8(9)=72

\\ \bull\sf\longmapsto -4+(-2)=-4-2=-6

\\ \bull\sf\longmapsto 3-(-6)=3+6=9

\\ \bull\sf\longmapsto -6(-3)=18

\\ \bull\sf\longmapsto -4+(-4)=-4-4=-8

\\ \bull\sf\longmapsto 5(7)=35

\\ \bull\sf\longmapsto 4-(-5)=4+5=9

\\ \bull\sf\longmapsto 4-3=1

\\ \bull\sf\longmapsto 10+5=15

\\ \bull\sf\longmapsto 3(8)=24

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A drum company advertises a snare drum that is 2 inches high and 12 inches in diameter. Find the volume
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Answer:904.78

Step-by-step explanation:

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