Answer:
71
Step-by-step explanation:
5+22=27
35-27=8
6squared=36
27+8+36=71
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
Answer:
88 sq. units
Step-by-step explanation:
1st. BxH
12-4 = 8 is our Base
8x8=64 that is out 1st area
and 2nd area is LxW which is 12x2 = 24
64+24= 88 sq. units
Reorder both sides
3y-6x=9
7-4y-3x=9
Multiply both sides
-6x-3y=9
6x+8y=-4
Dived both sides
11y= 5
Y=5/11
Substitute the value of Y
-3x-4(5/11)
Equals —> -14/11
Answer : (5/11 , -14/11)
She works for 40 hours, and then 5 hours.
So, for these first 40 hours, Tyra earns $21.40 per hour. We can find how much she earns in 40 hours:
21.40 x 40 = 856.
So, in the first 40 hours, she makes $856.
Now, for any number of hours Tayra works more that 40 hours, she will earn $32.10 each hour.
She works 5 hours over 40 hours, since it is 45 hours in total.
Hence, Tayra will earn $32.10 every hour for the 5 hours:
5 x 32.10 = 160.5.
Therefore, she will earn $160.50 for the 5 hours.
Now we have both of the earning amounts that make up how much she makes in the 45 hours. We can add them together
40 hours + 5 hours = 45 hours.
Substitute the amounts in the hours.
856 + 160.5 = 1016.5.
Thus, the answer is that Tyra will warn $1,016.50 in the total 45 hours.
Ergo, the correct answer is C.
Hope this helps, let me know if you need anything else! :)
