Answer: 9
Step-by-step explanation:
Given
The function is 
To make it a perfect square, compare it with 
Here,

So, c must be square of b i.e. 9

Therefore, value of c is 9.
Answer:

Step-by-step explanation:
<u>Given</u>
<u />
<u>Swap x and y and solve for y</u>
<u />
<u>Final answer</u>
<u />
Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.
<u>Answer:</u>
-2
<u>Step-by-step explanation:</u>
We have been given a function f(x)=\frac{-2x}{x+1} and we are asked to find the horizontal asymptote of our given function.
Recalling the rules for a horizontal asymptote:
1. If the numerator and denominator have equal degree, the horizontal asymptote will be the ratio of the leading coefficients.
2. If the polynomial of denominator has larger degree than the numerator, then the horizontal asymptote will be the x-axis or y=0.
3. If the polynomial of numerator has larger degree than denominator, then the function has no horizontal asymptote.
Here, the numerator and denominator are of the same degree. So the horizontal asymptote will be the ratio of the coefficients.
Horizontal asymptote =
= -2
Answer:
mean
Step-by-step explanation:
mean .
mean is regarded as the average value calculated from a data set .
mean = total sum of values / total number of values.
Step-by-step explanation:
q(a) = ½a + 38
The slope of q is ½. So the perpendicular slope is -1/½ = -2.
Write h(x) in point-slope form:
h − (-7) = -2 (x − 12)
h + 7 = -2 (x − 12)
Simplify to get slope-intercept form.
h + 7 = -2x + 24
h = -2x + 17