The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
<h3>How to determine the function (fg)(x)?</h3>
The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
Read more about composite function at:
brainly.com/question/10687170
The correct statements are:
- the volume of the yellow candle is about 46.05 inches cubed.
- the radius of the yellow candle is 2 in
- he base area of the yellow candle is about 6.28 inches squared.
- the price of one yellow candle is about $16.12.
<h3>
What are the correct statements?</h3>
Volume of a cone = 1/3(πr²h)
- π = 3.14
- r = radius = diameter / 2 = 4/2 = 2 inches
- h = height
Volume of a cone = 1/3 x 2² x 11 x 3.14 = 46.05 inches cubed.
Base area = πr²
3.14 x 4 = 12.56 inches squared.
Price of one yellow candle = volume x price per cubic unit
46.05 x $0.35 = $16.12
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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Answer:
$45.05
Step-by-step explanation:
53.00 × 0.85 = 45.05
Answer:
answer in photo
hope this helps :)
Step-by-step explanation:
<h3>
Answer: cos(76)</h3>
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Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
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We can verify this by use of a calculator. Make sure your calculator is in degree mode.
- cos(94)cos(18) + sin(94)sin(18) = 0.24192
- cos(76) = 0.24192
Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
