2335 = 55x + 0.45(300)
2335 = 55x + 135.....distribute through the parenthesis
2335 - 135 = 55x.....subtraction property
2200 = 55x ....division property
2200/55 = x ...simplify
40 = x.....she spent 40 days on the trip
Get it in form 4P(y-k)=(x-h)^2
add 8y to both sides
x^2-6x+49=8y
complete the square
-6/3=-3, (-3)^2=9
(x^2-6x+9)+40=8y
(x-3)^2+40=8y
minus 40 both sides
(x-3)^2=8y-40
undistribute 8 on right side
(x-3)^2=(y-5)8
4P(y-k)=(x-h)^2
4(2)(y-5)=(x-3)^2
(h,k) is center
p is distance from vertex to directix and also from vertex to focus
p=2
vertex=(3,5)
in that form, the prabola opens up so
directix is 2 below vertex
focus is 2 above vertex
up and down is y so
5-2=3
5+2=7
directix is y=3
focus=(3,7)
vertex=(3,5)
Try this option (see the attacthed file; answer is marked with red colour); note, that
answer: 2 m/h.
Answer:
y = 2x + 14
Step-by-step explanation:
Equation in slope intercept form:
y = mx + c
From the scenario above ;
y = total miles = 30
Average mile gain per week = slope (m) = 2
Number of weeks (x) = 8
We can obtain intercept, c :
30 = 2(8) + c
30 = 16 + c
30 - 16 = c
14 = c
Hence,
Equation goes thus ;
y = 2x + 14
