Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
You bought 5 books for $60 and 2 movies for $30
Answer:
(-∞,∞)
Step-by-step explanation:
The domain is all possible x values of the function
There are no constraints or holes for this and therefore the domain is all real numbers
The two answers are 23 and 47. You would subtract 24 from 70 then divide by 2 which would equal 23 then add the 24 back to it which is 47. 23 plus 47 equals 70.
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.
