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3 years ago

2. Find the equation of the line that is perpendicular to the line y = -1/3 x - 5 and passes through the point (12, 0).

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

The answer is y = 3x - 36

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The temperature was -4°F this morning. If the temperature dropped 7°F, what is the temperature now?

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Step-by-step explanation:

The temperature was -4° in the morning. The temperature dropped 7° later.

Subtract 7 from -4.

$-4-7=\boxed{-11}$

The temperature should be -11°F.

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp

tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

The domain and the range of $g(x) = 9x^2 - 2$ is $(-\infty, \infty)$ .
The parent function $f(x) =x^2$ is vertically compressed by 9, then shifted down by 5 units to get $g(x) = 9x^2 - 2$

Given

$g(x) = 9x^2 - 2$

Domain and range

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

The parent function

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$