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vampirchik [111]
1 year ago
7

By definition, (fog)(x) = f(g(x))So if g(2) = 3 and f(3) = 16, then (fog)(2) =

Mathematics
1 answer:
marusya05 [52]1 year ago
6 0

Answer:

(f\circ g)(2)=16

Step-by-step explanation:

By definition composite function would be:

(f\circ g)(x)=f(g(x))

Then, if g(2)=3 and f(3)=16, therefore for f(g(x)):

\begin{gathered} (f\circ g)(x)=f(g(2))=f(3) \\ \text{Hence,} \\ (f\circ g)(2)=16 \end{gathered}

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What is the equation of a circle with the center(-9,-5) and radius equals 9
mezya [45]

Answer:

(x+9)^2+(y+5)^2=81

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2

(h,k)=center

r=radius

so if you just insert the center (-9,-5) and the r with 9

(x-(-9))^2+(y-(-5))^2=9^2

(x+9)^2+(y+5)^2=81

Hope that helps :)

6 0
2 years ago
Read 2 more answers
How many ways can a 7 question multiple choice test be answered? (assume that there are 5 possible responses per question?
sweet [91]
I am assuming that you can only pick one answer per question.

Let's imagine there are two questions on the test. I would:

1) Consider the first question. How many possible ways could you answer it?

2) Consider the second question. How many ways can you answer that?

If you wrote out all the possibilities, how many combinations of answers would you get across the two questions?
3 0
3 years ago
In May Mr. Lee's earings were 60 percent of the Lee family's total income. In June Mr. Lee earned 20 percent more than in May. I
murzikaleks [220]

Answer: 64.29%

Step-by-step explanation:

Let the total earnings of the Lee family in May be x

Amount earned by Mr Lee in May = 60% of x = 0.6x

Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x

Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.

That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x

Amount earned by other members of the family in June remains unchanged, that is = 0.4x

Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x

Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.

QED!

6 0
3 years ago
Help will mark brainliest
nlexa [21]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
If the lateral area of a right rectangular prism is 384 cm^2, its length twice its width, and its height is twice its length, fi
Katen [24]
Width = w
Length = 2w
Height = 4w
w \times 2w  = 384 \\  {2w}^{2}  = 384 \\  {w}^{2}  = 192 \\ w = 13.86cm
Width = 13.86cm

Hope this helps. - M
7 0
3 years ago
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