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Natalija [7]
3 years ago
6

Let f(x) = x2 + 6 and g(x) = x + 8x g ( x ) = x + 8/ x . Find ( g o f)(­ -7)

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

Answer:

63/55

Step-by-step explanation:

Assuming f(x) = x^2+6 and g(x) = x + {8}{x}. Find  ( g o f)(­ -7) by substituting f into g. Then -7 into the new expression.

( g o f)(­ -7) =

\frac{(x^2+6) +8}{x^2+6} \\\\ \frac{((-7)^2+6) + 8}{(-7)^2+6} \\\\ \frac{49+6+8}{49+6}\\\\ \frac{55 + 8}{55} \\\\\frac{63}{55}

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uysha [10]

Answer:

Blue: 2/3

Purple: 1/3

Step-by-step explanation:

You have a total of 3 possible sections.

For blue, we have 2 out of 3 sections.  The probability is 2/3.

For purple, we have 1 out of 3 sections.  The probability is 1/3.

HOPES THIS HELPS!

4 0
3 years ago
Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the
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Step-by-step explanation:

5 0
3 years ago
HELP PLEASEEEEEEEEEEEEEEEEEEEE
GalinKa [24]

Answer:

3 9/50

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3.18 is 3 18/100

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4 0
3 years ago
Read 2 more answers
The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two legs if the hypotenuse is 39
mina [271]

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
Larry has $20 to spend at the store. He plans to purchase five items that cost $5.79, $7.63, $3.46, $2.99, and $3.65. Larry esti
gizmo_the_mogwai [7]

Answer:

he don't have the money

Step-by-step explanation:

5.79+7.63=13.42+3.46=16.88+2.99=19.87+3.65=23.52$

7 0
3 years ago
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