Answer:

Step-by-step explanation:
Average cost = total cost/number of items = (35k² + 29k + 6)/(5k + 2)
Perhaps the best way to solve this problem is to use long division.
<u> 7k + 3 </u>
5k + 2)35k² + 29k + 6
<u>35k² + 14k</u>
15k + 6
<u>15k + 6</u>
0
Thus,

The average cost per item is
.
Answer:
The maximum height of soccer ball is 12.25 ft.
Step-by-step explanation:
It is given that Tiffany kicks a soccer ball off the ground and in the air, with an initial velocity of 28 feet per second. It means v = 28 ft.
Given formula is

The initial height of ball is 0.


The height of ball defined by the function


It is a downward parabola and the vertex of a downward parabola is the point of maxima.
The vertex of a parabola
is



Therefore the maximum height of soccer ball is 12.25 ft.
He would have to work 13 hours
9514 1404 393
Answer:
- 19 ≤ 19 . . . true
- 19 < 19 . . . false
- x = 9
Step-by-step explanation:
A) A number cannot be less than itself, but can be equal to itself.
In each case, the left side of the inequality evaluates to 19:
4(5) -1 = 20 -1 = 19
It is true that 19 is less than or equal to 19. This is true because 19 = 19.
It is not true that 19 is less than 19. A number cannot be less than itself.
__
B) 5x +2 = 47
5x = 45 . . . . . . subtract 2 from both sides
x = 9 . . . . . . . . . divide both sides by 5
The element 9 from the set is the solution to the equation.