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3 years ago

F(x) = 5x ^ 2 and g(x) = x + 1 find (fg)(x)

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

According to the question given, $f(x)=5x^2,g(x)=x+1$ (fg)(x) is $f(x).g(x)=5x^3+5x^2$

Which is not given in the options.

Step-by-step explanation:

We are given:

$f(x)=5x^2$

$g(x)=x+1$

We need to find (fg)(x)

Solving:

$(fg)(x)=f(x).g(x)\\f(x).g(x)= 5x^2*(x+1)\\f(x).g(x)=5x^3+5x^2$

According to the question given, (fg)(x) is $f(x).g(x)=5x^3+5x^2$

Which is not given in the options.

Keywords: Composite functions

Learn more about Composite functions at:

#learnwithBrainly

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If x = 4 and y = 7, evaluate the following expression: 20 – (3y - 4x)

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3 years ago

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a car covered a certain distance at the speed of 24mph. while returning, the car covered he same distance witht eh spped of 16mp

Mkey [24]

Answer:

19.2

Step-by-step explanation:

You have to trust me, this answer is correct. But here's my solution:

With the formula

Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.

But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.

So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.

Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.

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(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)

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3 years ago

An aquarium holds 33.75 gallons of water. it has a length of 2 feet and a height of 1.5 feet. What is the volume of the aquarium

I am Lyosha [343]

Assuming that the aquarium is rectangular, the formula to work out the volume would be
V = L x H x D
Considering that 1 gallon = 231 inches³
Multiply both by 33.75 to get the total number of inches³ (volume)
231 x 33.75 = 7796.25 inches³

If you also want the depth, read on...

Also, there are 12 inches in one foot
Length = 2 x 12 = 24 inches
Height = 1.5 x 12 = 18 inches

Now we can fill in the information we know

7796.25 = 24 x 18 x D
To work out D, we divide the volume by the values we know
7796.25 / 18 = 433.125
433.125 / 24 = 18.046875 inches
18.046875 / 12 = 1.50390625 feet
To the nearest 2d.p. ≈ 1.5 feet

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3 years ago

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Roman55 [17]

1 equals 0.46 (make a line over the 6 to show it is repeated)

2 equals 0.4 (make a line over the 4 to show it is repeated)

3 equals -0.6 (make a line over the 6 to show it is repeated)

4 equals -0.857142 (make a line over all numbers past the decimal to show it is repeated)

5 equals 3.3409 (make a line over the 09 at the end to show it is repeated)

6 equals -1.7727 (make a line over the 27 at the end to show it is repeated)

7 equals 66.5%

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3 years ago

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