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marta [7]
3 years ago
14

F(x) = \sqrt{x+8} ; g(x) = 8x - 12 Find f(g(x)).

Mathematics
1 answer:
mestny [16]3 years ago
7 0

\mathbf{Task.} ~ f(x)=\sqrt{x+8}; ~ g(x)=8x-12. ~ \mathrm{Find} ~ f(g(x)).

f(g(x))=\sqrt{g(x)+8}=\sqrt{8x-12 + 8}=\sqrt{8x-4}=

=\sqrt{4(2x-1)}=2\sqrt{2x-1}.

Answer \colon f(g(x))=2\sqrt{2x-1}. ~ \blacktriangle

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This is a guess using logic, but my answer for this is that she concluded that she walked faster in the first 15 minutes. An increase in speed would increase the distance she walked in that amount of time
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3 years ago
The polynomial 4x^3 - 6x^2 + 8x – 12 can be grouped in different ways to factor by
zubka84 [21]

Answer:

(4x3-6x) + (8x-12)= 2x

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Step-by-step explanation:

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8 0
3 years ago
A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 64% solution. How many liters of
Alexxandr [17]

Answer:

We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.

We set up 2 equations where "f" is the 40 % and "s" is the 70%

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To solve both equations we multiply A) by -.40

A) -.40 f  - .40 s = -96.00   then we add this to B)

B) .40f + .70s = 153.60

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That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.

Double Check

153.60 / 240 = 64% antifreeze.

Step-by-step explanation:

6 0
3 years ago
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timofeeve [1]

Answer:

3h - 30 > 0

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To make a profit, subtract $36 in cost from the income coming in.

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Subtract 36 from it to find the profit.

3h + 6 - 36

3h - 30

To make a profit, she needs to make more than $0 or > 0.

3h - 30 > 0

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3 0
3 years ago
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EleoNora [17]

Answer:

x=7

Step-by-step explanation:

potato^3

7 0
3 years ago
Read 2 more answers
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