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s2008m [1.1K]
3 years ago
11

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
F(x) = 4x^2 + 12
g(x) = x - 1
(f o g)(x) = f(g(x)) = 4(x - 1)^2 + 12 = 4(x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16

(f o g)(3) = 4(3)^2 - 8(3) + 16 = 4(9) - 24 + 16 = 36 - 8 = 28
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What is 15 increased by 60%
vazorg [7]
What is 15 increased by 60 percent? Let's work it out!

First, you must know what 60 percent of 15 is.

<u>60 percent of 15
</u>   15 times .60 
<u />equals
9.

So 60% of 15 is 9.


<u /><u>Increased</u> is a word which<u> means added</u>.

So, 15 plus 9 (15+9) is 24.

Final Answer = 24.




Hope I could help!
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7 0
3 years ago
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Write an expression that shows how to use the halving and doubling strategy to find 28×50
eduard
Halving: 28 to 14 doubling: 50 to 100 answer: 14 × 100 = 1400
4 0
3 years ago
Does anyone know how to do this need help ASAP!!!
vivado [14]

Answer:

18

Step-by-step explanation:

unknown numbers?

6 0
3 years ago
WILL GIVE BRAINLIEST TO ANSWER WITH WORK SHOWN
finlep [7]

Answer:

Step-by-step explanation:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

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The long division is shown on the attached photo

The length of the third side is ( x - 2 )

8 0
3 years ago
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The titanic was 882 feet 9 inches long. You can build a model of the ship that is 2nfeet 6 inches long and 6 inches high. What w
tigry1 [53]
So the actual titanic was 882 feet and 9 inches long, and the model is 2 feet and 6 inches.

1.) Convert both the model and the real titanic to inches.
882 feet = 10584 inches (multiply 12) plus another 9 inches is 10593 inches

And for the model,
2 feet is 24 inches plus another 6 inches is 30 inches.

2.) Find the scale factor compared to the model and the actual thing.
The actual thing is 10,593 and the model is 30 inches. Divide 10593 by 30 to find the scale factor. You should get <span>353.1

</span>3.) Multiply the scale factor to the height.
Since we have the model height and the scale factor, to find the actual height we can just multiply the model height times the scale factor.

6 inches x 353.1 = <span>2118.6 inches
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4.) Round to the nearest inch.
Because the instructions say round to the nearest inch, we must round 2118.6 to the nearest inch.
You should get 2119 (because the 6 in the tenths place is greater than 4)

Our final answer is 2119 inches. :)
4 0
3 years ago
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