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romanna [79]
3 years ago
13

Let f(x) = x^2+6 and g(x) = x+8/x . Find (g•f)(-7)

Mathematics
2 answers:
iren [92.7K]3 years ago
5 0

Answer:

63/55

Step-by-step explanation:

i took the exam

BaLLatris [955]3 years ago
3 0
If:
x = - 7

We know that:
f(x) = x^2 + 6 → f(-7) = (-7)^2 + 6 = 49 + 6 = 55
g(x) =  \frac{x+8}{x} 

Soon:
(gof)(f(-7)) = \frac{x+8}{x}
(gof)(55) = \frac{55+8}{55}
\boxed{\boxed{(gof)(55) = \frac{63}{55}}}\end{array}}\qquad\quad\checkmark
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How do you integrate 7xe^-5x²?
Nana76 [90]
Making assumptions about where parentheses should be, 
<span>Let u = -7x </span>
<span>du = -7dx </span>
<span>dv = e^(2x) dx </span>
<span>v = e^(2x)/2 </span>
<span>∫ -7xe^(2x) dx = </span>
<span>-7xe^(2x)/2 - ∫ e^(2x)/2 (-7) dx = </span>
<span>-7xe^(2x)/2 + 7e^(2x)/4 + c</span>
3 0
3 years ago
Sorry to waste time, but could you help? 5/3(4/3a+9b+2/3a) simplified, take your time! I’m not the best at math so :p
mixas84 [53]

Answer:

sorry I'm not that good at math either it's complicated

Step-by-step explanation:

5

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5 0
3 years ago
Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other
kondaur [170]

Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.

Explanation :

Since we have shown in the figure below :

a=70 mi.

b=52 mi.

c=x mi.

\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}

So, we use the cosine rule , which states that

 c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03

So, c = x= 106.03 mi.

Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.


8 0
3 years ago
Bobby has a bag containing 2 sizes of marbles. The big ones weigh 10 g and the small ones weigh 3 g. If there are three times as
Vikentia [17]

Answer:

There are 19 big marbles

Step-by-step explanation:

10a + 3b = 209

a = 3b

3b = 3b

10a + a = 209

11a = 209

a = 209/11

a = 19

8 0
3 years ago
A square has a side length 9 cm.<br><br> What is its area?
Flauer [41]

Answer:30

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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