A:
(f+g)(x)=f(x)+g(x)
(f+g)(x)=4x-5+3x+9
(f+g)(x)=7x+4
B:
(f•g)(x)=f(x)•g(x)
(f•g)(x)=(4x-5)(3x+9)
(f•g)(x)=12x^2-15x+36x-45
(f•g)(x)=12x^2+21x-45
C:
(f○g)(x)=f(g(x))
(f○g)(x)=4(3x+9)-5
(f○g)(x)=12x+36-5
(f○g)(x)=12x+31
Answer:
c?
Step-by-step explanation:
Answer:
139,999
Step-by-step explanation:
If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999
Answer: The area is 
Step-by-step explanation:
The cross section AFGD is a rectangle. Then, its area can be calculated with this formula:
Where:
"A" is the area of the rectangle.
"l" is the lenght of the rectangle.
"w" is the width of the rectangle.
Then, from the figure, you can identify that the dimensions of the rectangle AFGD are:
Therefore, you can substitute these values into the formula to find the area of the cross section AFGD. Then, you get:
Answer:
55.3
Step-by-step explanation:
First, take $64 and multiply it by .2.
You'll get an answer of 12.8, now subtract that from 64 to get 51.2.
Take 51.2 and multiply that by .08.
Add 4.1, (since we are rounding) to 51.2, to end with your answer: $55.30.
