For this case we have the following function:

For each of the domains we will choose a value.
We have then:
For −5 ≤ x ≤ −1
Let's choose the value of x = -3
Evaluating the function we have:
Answer:
g(-3) = 1
For −1 < x ≤ 5:
Let's choose the value of x = 0
Evaluating the function we have:
Answer:
g(0) = 2
The slope of a line perpendicular to another line has a
slope which is the negative reciprocal of that line or:
m1 = -1/m2
First, we convert the given equation into slope-intercept
form of a line: y = mx + b
8x + 15y = 12
15y = -8x + 12
y = (-8/15) x + 0.8
m1 = -8 / 15
Therefore the slope of the perpendicular line is:
m2 = 15 / 8
Since the perpendicular line crosses the point (11, 17), therefore
using the slope formula:
m = (y2 – y1) / (x2 – x1)
15 / 8 = (y2 – 17) / (x2 – 11)
1.875 (x2 – 11) = y2 – 17
1.875 x2 – 20.625 = y2 – 17
y2 = 1.875 x2 – 3.625
y = (15/8) x – 3.625
multiplying both sides by 8:
8y = 15x – 29
rewriting in standard form:
<span>15x – 8y = 29 (ANSWER)</span>
Answer:
<h2>

</h2>
Step-by-step explanation:
f(x) = 7x - 4
g(x) = -3x + 2
To find (f+g)(x) add g(x) to f(x)
That's
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
35.75 meters squared
Step-by-step explanation:
The area of a trapezoid is denoted by:
, where b_1 and b_2 are the bases and h is the height.
Here, the two bases are 7 1/2 and 5.5 meters and the height is 5.5. So, just plug in the values:

7 1/2 is the same as 7.5: 
Thus, the area is 35.75 meters squared.
Hope this helps!