Answer:
h(8q²-2q) = 56q² -10q
k(2q²+3q) = 16q² +31q
Step-by-step explanation:
1. Replace x in the function definition with the function's argument, then simplify.
h(x) = 7x +4q
h(8q² -2q) = 7(8q² -2q) +4q = 56q² -14q +4q = 56q² -10q
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2. Same as the first problem.
k(x) = 8x +7q
k(2q² +3q) = 8(2q² +3q) +7q = 16q² +24q +7q = 16q² +31q
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Comment on the problem
In each case, the function definition says the function is not a function of q; it is only a function of x. It is h(x), not h(x, q). Thus the "q" in the function definition should be considered to be a literal not to be affected by any value x may have. It could be considered another way to write z, for example. In that case, the function would evaluate to ...
h(8q² -2q) = 56q² -14q +4z
and replacing q with some value (say, 2) would give 196+4z, a value that still has z as a separate entity.
In short, I believe the offered answers are misleading with respect to how you would treat function definitions in the real world.
Answer:
Step-by-step explanation:
6x^2+5x+1=0
Descr= b^2-4ac
Descr= 25-24=1
X1= (-b+√descr)/2a = (-5+1)/12= -1/3
X2= (-b-√descr)/2a = (-5-1)/12= -1/2
To find the volume of this storage bin, you will use the formula for volume of a cylinder and of a cone.
V = Bh (cylinder)
Pi x r^2 x h
Pi x 2^2 x 10
V = 1/3 x pi x r^2 x h
1/3 x pi x 2^2 x 3
All of these choices show correct answers!
Answer:
1080
Step-by-step explanation:
PEMDAS says multiply and divide from left to right
9*5*6*3÷3*4*6÷6
45*6*3÷3*4*6÷6
270*3÷3*4*6÷6
810÷3*4*6÷6
270*4*6÷6
1080*6÷6
6480÷6
1080
