The number of calculators
= Number of boxes * calculators in each box
=18* 12
= 216 calculators
Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
The computation shows that the time taken is 120 minutes.
<h3>How to illustrate the information?</h3>
From the information, Andrew is riding his bike and he biked a distance of 14 miles at a rate of 7 miles per hour.
Therefore, time taken for 14 miles will be:
= 14/7
= 2 hours
= 2 × 60 = 120 minutes
The time taken is 120 minutes.
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
3x+18
Step-by-step explanation:
Answer:
y = x + 3y = x - 1
Step-by-step explanation:
Just graph them!
Hope I could help.
