Answer:
The slope of the line given by the equation -3x=30-5y is 
.
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.
You get:
<em>y= </em>
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According to y=mx+b, mx refers to the slope.
In this case, the slope would be .
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
We find the slope of the line:
Thus, the equation of the line is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer:
f(x) = 5x − 1 and g(x) = 2x^2 + 1
(f × g)(x) = (5x − 1)(2x^2 + 1)
(f × g)(x) = 10x^3 - 2x^2 + 5x - 1
Substitute x = - 3
(f × g)(-3) = 10(-3)^3 - 2(-3)^2 + 5(-3) - 1
(f × g)(-3) = 10(-27) - 2(9) -15 - 1
(f × g)(-3) =-270 - 18 - 16
(f × g)(-3) = -236
Answer
- 236
<span>2x^2 +3x -4 + 8 - 3x -5x^2 +2
answer is
</span>-3x^2 +6
hope that helps
