Answer:
y = -1/5x +32/5
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b
we know m = -1/5
y = -1/5x+b
We know a x and y on the line
7 = -1/5(-3) +b
7 = 3/5 +b
Subtract 3/5 from each side
35/5 -3/5 = b
32/5 =b
So the equation is
y = -1/5x +32/5
Answer:
Step-by-step explanation:
This is function composition. We will take the g function and plug it into the f function wherever we see an x. That will look like this when it's done but before it's simplified:
and that can be simplified down to

The domain of this function will be all real numbers EXCEPT for the one(s) that cause the denominator to become undefined. Set the denominator equal to 0 and solve for x:
5x - 4 = 0 so
5x = 4 and
x = 4/5
In other words, D = {x | x ≠ 4/5}
The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5
Answer:
3200
Step-by-step explanation:
Replace the variables with their values and do the arithmetic.
(4·5)²·8 = 20²·8 = 400·8 = 3200
Answer:253.33...
Step-by-step explanation: