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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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Six times the lesser of the two consecutive even integers is 4 times the greater even integer. What are the integers?
Paladinen [302]

Answer:

Integers are 4 and 6

Step-by-step explanation:

Let the two consecutive even integers be x,x+2 such that x

Six times the lesser of the two consecutive even integers is 4 times the greater even integer.

So,

6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4

Other integer =x+2=4+2=6

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Which of these tables does NOT represent a function?
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B does NOT represent a function.

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0.24 is the answer to this question
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4 years ago
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Carson bought two loaves of bread and one dozen eggs at the grocery store yesterday he paid a total of $6.09.If one dozen of egg
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3 years ago
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For a project, you need to make three triangles out of cardboard. Each triangle has a height of 5 inches and a base of 10 inches
pashok25 [27]

Answer:

Option 1st is correct

3 \cdot (\frac{1}{2} \cdot  10 \cdot 5)=x

Step-by-step explanation:

Area of the triangle is given by:

A = \frac{1}{2}bh

where,

A is the area of the triangle

b is the base and

h is the height of the triangle.

As per the statement:

For a project, you need to make three triangles out of cardboard.

Each triangle has a height of 5 inches and a base of 10 inches

⇒b = 10 inches and h = 5 inches

\text{Area of each triangle} = \frac{1}{2} \cdot  10 \cdot 5

Since,  you need to make three triangles out of cardboard

⇒\text{Area of 3 triangle}(x) =3 \cdot (\frac{1}{2} \cdot  10 \cdot 5)

Therefore, an equation can you use to solve for the total amount of cardboard you will need is,

3 \cdot (\frac{1}{2} \cdot  10 \cdot 5)=x

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