Answer:
(x - 43)(x + 3)
Step-by-step explanation:
consider the factors of the constant term (- 129) which sum to give the coefficient of the x- term (- 40)
the factors are - 43 and + 3 , since
- 43 × + 3 = - 129 and - 43 + 3 = - 40 , then
x² - 40x - 129 = (x - 43)(x + 3) ← in factored form
Answer:
3/4 inches
Step-by-step explanation:
Subtract Jimmys string length from Sam's string length
7 1/2 - 6 3/4
Get a common denominator of 4
7 1/2*2/2 - 6 3/4
7 2/4 - 6 3/4
Borrow 1 ( or 4/4) from the 7
6 4/4 + 2/4 - 6 3/4
6 6/4 - 6 3/4
3/4
Step-by-step explanation:
The lines have different slopes
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Answer:
-6 1/2
-1
0
9
these are in order from least to greatest
Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.