Answer:
3^x + 12x -4
Step-by-step explanation:
f(x) = 3^x + 10x
g(x) = 2x - 4,
(f + g)(x) = 3^x + 10x + 2x - 4
Combine like terms
= 3^x + 12x -4
We have to find the number of ways an employer send 3 employees to a job fair if she has 11 employees.
This is the problem from combination.
The formula for combination is given by

Here, n= 11, r= 3
Therefore, total number of ways is given by

A is the correct option.
Answer: 3/4
Step-by-step explanation:
Number of students in Jacob's homeroom = 20.
Number of students who bring their lunch to school = 5
Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:
= 20 - 5
= 15
Fraction that eats in the cafeteria will be: = 15/20 = 3/4
I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Answer:
the surface of hexagonal prism is 12 cm