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castortr0y [4]
2 years ago
9

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

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

x+4; all real numbers except =-4

Step-by-step explanation:

f(x)/g(x) = (x2-16)/(x+4)

The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)

We can simplify by factoring the numerator:

(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)

The domain is the same as the original expression: all real numbers except x = -4

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Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.
Mars2501 [29]

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

4 0
3 years ago
Pls tell me which to pick (a,b,c,or d)
Elodia [21]

Answer:

B (Y, N, N)

Step-by-step explanation:

a) y = 1/3x, so each value satisfies it. This is true.

b) If "a" is "Y" then b has to be no

c) 1 * 11 = 11

2 * 2 = 22

3 * 5 = 15

The last equation does not follow the rules for the previous two equations, so it is no.

Thus, the answer is B (Y, N, N)

4 0
2 years ago
What is the electoral college? select one:
ad-work [718]

The answer is "electors from each state who cast ballots for president and vice president."

Have a great night! :)

8 0
3 years ago
A scientist studied the number of eggs a species of bird lays each year. He found that the
Gnoma [55]

Answer:

2+2 is 4 minus 1 is 3.

Step-by-step explanation:

Think about the question, you can't say that i am wrong.

7 0
3 years ago
A price is decreased from £800 to £640. Calculate the percentage change.
Anni [7]
<span>There is a decrease of 20% from ÂŁ800 to ÂŁ640.

    A change from 800 to 640 represents a negative change (decrease) of -20% Using the formula :

   Percent change = [(800 - 640) / 800] x 100 = -20 % (decrease)

       800 is the old value and 640 is the new value. In this case we have a negative change (decrease) of -20 percent because the new value is smaller than the old value.</span>
6 0
3 years ago
Read 2 more answers
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