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garri49 [273]
3 years ago
10

Layla has 25 toys in her toy box, and she adds 4 new toys every month. Based on this information, which equation best shows the

relationship between the number of toys Layla has in her toy box, y, and the number of months that have passed, x?
y = 25x

y = 29x

y = 4x

y = 4x + 25
Mathematics
1 answer:
mafiozo [28]3 years ago
5 0
Y=4x+25
You’re multiplying 4 toys per month and adding in what you already have
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Evaluate................
wolverine [178]

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.

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Assuming 5a3 equals 5a^3, and the same for everything else, you would plug in 4 for a, so 5(4)^3 - 2(4)^2 + 4 - 45, which equals 247.

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see below

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Twice p added to 4 multiplied by p is equal to 20

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