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Lady_Fox [76]
3 years ago
5

Consider the equation y=16-x. which of the following statements is true

Mathematics
1 answer:
musickatia [10]3 years ago
3 0

Answer:

C. Both x is a function of y and y is a function of x

Step-by-step explanation:

A <u>function</u> is a relationship which assigns to each input (from the domain) value, a unique output (from the range).

y is a function of x means x is from domain, y is from range

x is a function of y means y is from domain, x is from range

1. Given y=16-x

y is a function of x because for each x there is exactly one y corresponding to this x.

2. Rewrite y=16-x expressing x in terms of y:

y-16=-x\\ \\-x=y-16\\ \\x=16-y

x is a function of y because for each y there is exactly one x corresponding to this x.

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Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)
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Answer:

g(-2)=20

Step-by-step explanation:

Given g(x)=2x^2-2x+8, substitute what is in the parentheses for x to find an output.

For g(-2), the term -2 is in the parentheses. Thus, substitute x=-2 into 2x^2-2x+8 to find g(-2):

g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}

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A Web music store offers two versions of a popular song. The size of the standard Version is 2.7 megabytes (MB). The size of the
Shkiper50 [21]

Let x be number of downloads of standard version and y be number of downloads of high quality versions.

The hight quality downloads are twice as the standar downloads. So,

y=2x

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2.7x+4.2y=3219

Substitute 2x for y in the equation and solve the obtained equation for x.

\begin{gathered} 2.7x+4.2\cdot2x=3219 \\ 2.7x+8.4x=3219 \\ x=\frac{3219}{11.1} \\ =290 \end{gathered}

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Answer: 290

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