3 years ago

Combine like terms to simplify the expression.

Mathematics

1 answer:

Advocard [28]3 years ago

3 0

Answer:

7x + 9

Step-by-step explanation:

5x + 2x = 7x

4 + 5 = 9

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Answer:

1.5

Step-by-step explanation:

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a builder could get 6 sheets of sheetrock for $9 if he bought 12 sheets how much money would he have spent

SashulF [63]

He spent $18.
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3 years ago

..vertex: (4, -1)<br> f(3) = -6

s344n2d4d5 [400]

Answer:

$\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}$

Step-by-step explanation:

The vertex form of an equation of a parabola:

$f(x)=a(x-h)^2+k$

$(h;\ k)$ - vertex

We have

vertex $(4;\ -1)\to h=4;\ k=-1$

$f(3)=-6$

Therefore we have:

$f(x)=a(x-4)^2+(-1)=a(x-4)^2-1$

Substitute $x=3$ and $f(3)=-6$

$a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5$

Finally:

$f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81$

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3 years ago

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Answer:

Step-by-step explanation:

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(x,y) -> (-x,-y)

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sp2606 [1]

Answer:

Step-by-step explanation:

4x12-3x3+12

48-9+12=51

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