<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
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Answer:
0.032
Step-by-step explanation:
Divide each term by 0.032 and simplify
Answer:
y+2= -1/5(x+1)
Step-by-step explanation:
if lines are perpendicular their slopes are negative reciprocal
y=mx+b where m is the slope
y=5x-10 has the slope 5 so a perpendicular line will have slope -1/5
equation point slope form
(y-y1) = m(x-x1) where m is slope, and (x1,y1) any point that belongs to the line
y+2= -1/5(x+1)
48f=8b
÷8 ÷8 (divided by 8)
6f=b
it takes 6 feet of fabric to make 1 blanket
6f=1b 3f=y
36f=6b
12y=6b
it takes 12 yards to make 6 blankets
