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
So the following is the answer of the following question in your problem and please do not post to many question in just one posting.
#1 The 98% confidence interval for the mean hours is between 6 and 50.
#2 The smallest margin of error between the two is southern florida with 1.8% margin of error.
Complete question :
The diameter of the ferris Given is 63 feets
Answer:
3165 feets
Step-by-step explanation:
Given that :
Diameter of ferris = 63 feets
Recall :
Circumference of a circle = 2 * pi * Radius
Or
Circumference = pi * d
Hence,
Circumference of wheel = 3.14 * 63 = 197.82 feets
Distance traveled during one ride :
Circumference of wheel * number of revolutions
197.82 * 16 = 3165.12
= 3165 feets (nearest whole number)
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer: 3/2 I’m on something similar rn
Step-by-step explanation:
