Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation of the line is
y = 3x - 4
Comparing with the general equation above
The slope /m = 3
The y intercept / c = - 4
Hope this helps you
Answer:
Carlos will need 8 shelves to arrange all the books. He will need 4 shelves for the 32 novels and 3 shelves for the 24 autobiography books.
Step-by-step explanation:
Hope this helps
Answer:

Because the 
The integral converges to 
Step-by-step explanation:
For this case we want to find the following integral:

And we can solve the integral on this way:


And if we evaluate the integral using the fundamental theorem of calculus we got:

Because the 
The integral converges to 
<span>The number of x-intercepts that appear on the graph of the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)
Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0
Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2
(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2
(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
x+2-2=0-2→x=-2 Multiplicity 2
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