Answer:
0
Step-by-step explanation:
So we have the two functions:
And we want to find:
This is the same as:
So, let's find f(1) and g(1):
Square:
Subtract:
Evaluate:
So:
Multiply:
So, our answer is 0.
And we're done!
8n−7y−12n+5−3y
=8n+−7y+−12n+5+−3y
Combine Like Terms:
=8n+−7y+−12n+5+−3y
=(8n+−12n)+(−7y+−3y)+(5)
=−4n+−10y+5
Answer:
- width: 18 in
- length: 27 in
Step-by-step explanation:
The relations between length (L) and width (W) are ...
W +9 = L
LW = 486
Substituting gives ...
(W+9)W = 486
W^2 +9W -486 = 0 . . . put in standard form
(W +27)(W -18) = 0 . . . . factor
W = 18 . . . . the positive solution
The width of the rectangle is 18 inches; the length is 27 inches.
_____
<em>Comment on factoring</em>
There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.
486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.
Answer:
It's B
Step-by-step explanation:
2 times 5 = 10
0.8 times 5=4
10 + 4 =14
14-3=11
Points: (0,4) and (2,-3)
Find slope: (-3-4)/(2) = -7/2
4 = -7/2(0) + b, b = 4
Equation: y = -7/2x + 4