Answer:
x=2 y=7
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
The answer is C
y=kx. where k is a constant
sub y=34,x=2
2k=34
k=17
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
_____
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.
First, we know L and W are the same number. The in the end the Length is 6 more, therefore we add 6. The equations begins as so
2x+6=27
-6
2x=21
/2
x=10.5
+6
Therefore the Width =10.5 M
The Length = 16.5 M
Answer:
In year 2030 the population is predicted to be 71.75 million
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Using data from 2010 and projected to 2020, the population of
the United Kingdom (y, in millions) can be approximated by the
equation 10.0 y − 4.55 x = 581
- x is the number of years after 2000
- We need to know in what year the population is predicted to be
71.75 million
* <em>Lets substitute the value of y in the equation by 71,75</em>
∵ The equation of the population is 10.0 y - 4.55 x = 581
∵ y = 71.75
∴ 10.0(71.75) - 4.55 x = 581
∴ 717.5 - 4.55 x = 581
- Subtract 717.5 from both sides
∴ - 4.55 x = - 136.5
- Divide both sides by - 4.55
∴ x = 30
∵ x represents the number of years after 2000
∵ 2000 + 30 = 2030
∴ In year 2030 the population is predicted to be 71.75 million
