The answer is a. -7
1. Find g(2).
2. Find f(g(2)).
g(x) = x² - 6x - 7
x = 2 ⇒ g(2) = ?
g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15
2. f(x) = x + 8
g(2) = -15
f(g(2)) = f(-15) = -15 + 8 = -7
The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
Learn more about the linear equation here:
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Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.
Answer:
65 square yards
Step-by-step explanation:
5x5=25
5x4=20
5x4=20
20+20+25= 65