Answer:
256x^8
Step-by-step explanation:
Answer:
a. Triangles or any shape are congruent when they all have the same sides and equivalent angles.
Step-by-step explanation:
no explanation for this
PS. i only did A sorry i cant help everything
Answer:
A) y=1/3x+5
B) y=-2x+9
C) y=-3
D) y=2x+9
E) y=-10x+80
F) y=x-2
Explanation:
Use y=mx+b
m=slope
b=starting point (or where it crosses the y-axis
For slope, use rise over run.
To determine negative slope, read from left to right and see if it’s going up or down. If down it’s negative, if up then positive.
Also BE CAREFUL, on D, the y-axis is labeled differently. Take an extra look at it.
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
He can put 4 kids in each of 9 cars and then leave the 10th car empty. Or put 2 kids in 9th car and 2 kids in 10th so all the cars would be filled
