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chubhunter [2.5K]
3 years ago
6

F( x) = 3 x + 2 and g( x) = 2 x + 5. Find f ∘ g(5) Please show your work

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

f ∘ g(5) = 47

Step-by-step explanation:

We are given the following functions:

f(x) = 3x + 2, g(x) = 2x + 5

Composite function:

The problem asks their composite function at x = 5. So

f \circ g = f(g(x)) = f(2x + 5) = 3(2x + 5) + 2 = 6x + 15 + 2 = 6x + 17

f(g(5)) = 6(5) + 17 = 30 + 17 = 47

We have that f ∘ g(5) = 47

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Mekhanik [1.2K]

Answer:

A

Step-by-step explanation:

it's a geometric sequence since it is continuously being multiplied by the same number which in this case is 2.

4 0
2 years ago
Read 2 more answers
What fraction makes this division<br> sentence true? <br> 2/3 divided by ? = 4
NeX [460]

Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

6 0
3 years ago
Use the Binomial Theorem to expand each binomial (5x-4y)^3
jek_recluse [69]
You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

-----------------

If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

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5 0
3 years ago
A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constar
Masteriza [31]

Answer:

  • <u>5.2 kg per month.</u>

<u></u>

Explanation:

The measure of how fast the wrestler gained weight, in kg per month, is the  weight gain rate.

The table is:

Time (months)           Weight (kg)

    0.5                             80.6

    2                                 88.4

    3.5                              96.2

The weight gain rate, WGR, for a period may be calculated as:

  • WGR = [ weight gain ] / [period]

  • WGR = [final weight - initial weight] / [final time - initial time]

  • WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month

  • WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.

As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.

7 0
3 years ago
PLEASE PLEASE HELP 50 POINTS
Crank

Answer:

The claim is " oreos are the most popular cookie at my house". The evidence is because you said that " oreos run out twice as fast as snickerdoodles." The reasoning is because my family eats twice as many oreos than snickerdoodles.

8 0
3 years ago
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