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

Answers

Answer 1

Answer: (g o f)(x)=g(f(x))

basically put f(x) for every x in g(x) or evaluate f(x) for taht given value of x and then sub that for x in g(x)
evaluate woould be easier
f(-7)=(-7)^2+6
f(-7)=49+6
f(-7)=55

sub for x in g(x)
g(55)=55+8/55
g(55)=63/55
g(55)=1.145454545454

answer would be 63/55

Answer 2

Answer: Short Answer: 55.145454545...
Working Out: gof(x) = (x^2 + 6) + 8/(x^2 + 6)
gof(-7) = ((-7)^2 + 6) + 8/((-7)^2 + 6)
= (49 + 6) + 8/(49 + 6)
= 55 + 8/55
= 55 + 0.145454545...
= 55.145454545...

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The circumference of a circular painting is 28.26
feet. What is the diameter of the painting? Use
3.14
for
π
and do not round your answer.

Answers

Divide 28.26 by 3.14

The answer is 9

3. Mauro has 140 ft of rope. He will cut it into two pieces so that the length of the longer piece is 3 times the length of the shorter piece. What will the length of the longer piece be?4. Maggie has only dimes and quarters in her purse. She has 27 coins with a total value of $4.05 in her purse. How many dimes does Maggie have in her purse?

Question 5.5. Choose the correct answer.

Kevin wants to make a mixture that is 50% lemon juice and 50% lime juice. How much 100% lemon juice should he add to a juice that is 40% lemon juice and 60% lime juice to make 6 gal of the 50% lemon/50% lime juice mixture?
(Points : 1)
0.5 gal
1 gal
2 gal
2.5 gal

Answers

3. 140= 3x +x
140= 4x
140/4 = 4x/4
35=x
3x= 35 * 3
3x= 105
The length is 105 ft

4. Number of dimes= d and number of quarters=q
d+q= 27
10d + 25q= 405
d= 27-q
10(27 -q) +25 q= 405
270 -10q + 25q= 405
270 + 15q= 405
15q= 135
q=9
d + q= 27
d +9=27
d=18
She has 18 dimes

5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon

3- 105 ft

4- 21 dimes

5- 1.5 gallons

I just took the test.

Hope this helps someone in the future.

Payton collected data to show the relationship between the number of hours he practices and the number of errors he makes when playing a new piece of music. The table shows his data. A 2-row table with 9 columns. The first row is labeled number of hours with entries 1, 2, 3, 4, 5, 6, 7, 8. The second row is labeled number of errors with entries 36, 34, 30, 31, 23, 16, 11, 5. Which is the approximate slope of the line of best fit for the data? –5.5 –4.5 –2.0 –1.0

Answers

The approximate value of the line of best fit which is the ratio of the change in y and the change in x axis from the options given is -4.5.

The slope of the line of best fit can be determined using the following pair of points :

(1, 36) and (8, 5)

x1 = 1 ; x2 = 8; y1 = 36 ; y2 = 5

The slope is defined thus :

Slope = (y2 - y1) ÷ (x2 - x1)

Substituting the values into the equation :

Slope = (5 - 36) ÷ (8 - 1)

Slope = -31 ÷ 7

Slope = - 4.428

Therefore, the nearest option from the options given is - 4.5. Hence, the approximate value of slope the best fit line is - 4.5

Learn more :brainly.com/question/18904995

Answer: -4.5

Step-by-step explanation: Trust me on this :)

A package of 3 pairs of insulated socks costs $23.37. What is the unit price of the pairs of socks?The unit price is $_
per pair of socks.
PLEASE QUICK QUICK

Answers

Answer:

The unit price is 7.79

Step-by-step explanation:

To find the unit price, you should divide what the money is by how many pairs the package has. So for this problem it would mean the equation would be 23.27/3 and the answer is 7.79.

Can someone help me with this graph

Answers

just plot the points on the graph so if x+y=-6 just make a list of all of the points that will work (remember that the left-to-right line is x and the up-to-down line is y, and right and up is positive and left and down is negative)

so make a list (in graphs we write [x,y] or (x,3)) so here are some points that will work
(-3,-3)
(-4,-2)
(-2,-4)
(-1,-5)
(-5,-1)
(0,-6)
(-6,0)
(-7,1)
(1,-7)
and so on, just plot those points and more that will work for x+y=-6 and you should be good,

there is another way that this is supposed to be done but this way is easier

Using Distributive Property, what is the simplified answer to (6+9v)6 ?

Answers

36+54v

Multiply 6 with both 6 and 9v

(6+9v)6 = (6)(6) + (9v)(6) so now you just calculate them. 36 + 54z . I hope that's help

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