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dlinn [17]
3 years ago
7

Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

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A circular cake is cut into 8 equal pieces. What is the angle measure of each piece?
pishuonlain [190]

Answer:

45

Step-by-step explanation:

A whole circle is 360 so if you divided that by 8 you get 45

4 0
3 years ago
Read 2 more answers
Each person on a four-person relay team completed a race in approximately 18.1 seconds. How long did it take the relay team to f
likoan [24]

Answer:

72.4 seconds

Step-by-step explanation:

We are given that,

Time taken by each person in the team = 18.1 seconds

Number of members in the team = 4

It is required to find the total time taken by the team to finish the race.

Thus, the time taken taken = 4 × 18.1 = 72.4 seconds

Hence. the team finished the race in 72.4 seconds.

8 0
3 years ago
The ratio of tickets sold to see the incredible musical wicked to tickets sold to see Cats is 11 to 7 if there were 2700 total t
tia_tia [17]
Use algebra to set up 2 equations.

Assign c as number of tickets for CATS and w for number of tickets of WICKED

c + w = 2700

c / w = 7 / 11

Then solve for one of them in the first equation

c = 2700 - w

Then put this value for c into the 2nd equation

(2700 - w) / w = 7 / 11

Now cross multiply the numerator by denominator of both numerator and denominator pairs

7w = 11 x (2700 - w)
7w = 29700 - 11w

Now solve for w

7w = 26700 - 11w

Add +11w to both sides

18w = 29700

Now divide by 18 on both sides

w = 1650

Then c is the remainder of that ... 2700 - 1650 = 1050

You can also check because 7 / 11 = 1050 / 1650



8 0
3 years ago
Given Domain values of 09,-6,-3,0,1.5 and 3, find the corresponding range for the piecewise function below.
IRINA_888 [86]

Answer:

Domain and range » Tips for entering queries. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for the domain and range. domain of log(x) (x^2+1)/(x^2-1) domain; find the domain of 1/(e^(1/x)-1) function domain: square root of cos(x)

Step-by-step explanation:

4 0
3 years ago
43.12(bar on 12) in p/q form.​
arsen [322]

Answer:

1423/33

Step-by-step explanation:

Let x = 43.121212.........

Two digits are repeating after decimal point. So multiply both sides by 100

100x = 4312.1212       --------------(I)

   <u> x =      43.1212  </u>   -----------(II)   { subtract equation (II) form (I)}

99x =      4269

x= 4269/99   {reduce to simplest form by giving by 3rd table}

x = 1423/33

4 0
3 years ago
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