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SCORPION-xisa [38]
3 years ago
14

Evaluate 2(5 + x2) + y if x = 3 and y = 2

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

26

Step-by-step explanation:

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3 years ago
Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx
Soloha48 [4]

Answer:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

Step-by-step explanation:

For this case we need to find the following integral:

\int x(8-x)^{3/2}dx

And for this case we can use the substitution u = 8-x from here we see that du = -dx, and if we solve for x we got x = 8-u, so then we can rewrite the integral like this:

\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)

And if we distribute the exponents we have this:

\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du

Now we can do the integrals one by one:

\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C

And reordering the terms we have"

\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C

And rewriting in terms of x we got:

\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C

And that would be our final answer.

8 0
3 years ago
Ted needs an average of at least 70 on his three history tests. He has already scored 85 and 60 on two tests. What is the minimu
baherus [9]
He must get a 65 as a minimum grade on his third test to get an average of 70.
Equation is
                       85 + 60 + x
                     ------------------- greater than or equal to 70
                              3
3 0
3 years ago
What is the angle measured on the protractor? Please help I’m confused. Thanks!!
sleet_krkn [62]

Answer:

85

Step-by-step explanation:

The line of the right measures 65 degrees (I think), an the line on the left measures 150 degrees. So, 150 - 65 = 85 degrees.

7 0
3 years ago
The man paid $21 for a book bag that was taxed 20%. What was the original price of the bag?
Vlad1618 [11]

Answer:

15

Step-by-step explanation:

7 0
3 years ago
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