The situation will be represented by linear equation, this is given by:
y=ax+b
where:
a=slope=rate
b=y-intercept
from our situation:
a=-1/20
b=5 ft
thus the equation modeling the situation will be:
y=-1/20x+5
Answer: y=-1/20x+5
When the ball will hit the ground, the height will be zero. So we need to replace

with 0 in our equation, and solve for

:


To solve this equation we are going to use the quadratic formula:

.
From our height equation, we can infer that

,

, and

. So lets replace those values in our quadratic formula to find



or


or

Since time cannot be negative,

is the solution of our equation.
We can conclude that the ball will hit the ground after
2.71 seconds.
Answer:
(100 – 12) – 3x
Step-by-step explanation:
(100 – 12) – 3x would be the correct answer because:
100 is the total amount he paid
12 is the cost of pants
because we don't know the price of shirts yet so it would be called x
He buy in total of 3 shirts so the equation for the price would be 3 * x = 3x
So it would be:
total money paid - pants costs - shirts cost
= 100 - 12 - 3x or (100 - 12) -3x
Hope this helped :3
Answer:

Step-by-step explanation:
The central angle of the sector representing rent expenses in the pie chart is found by simple rule of three:


Answer:
Step-by-step explanation:
erasers=e
pencils=p
3e+5p=7.55 ...(1)
6e+12p=17.40
divide by 2
3e+6p=8.70 ...(2)
(2)-(1) gives
p=8.70-7.55=1.15
from (1)
3e+5(1.15)=7.55
3e+5.75=7.55
3e=7.55-5.75
3e=1.80
e=1.80/3=0.60
cost of 1 eraser=$0.60
cost of 1 pencil =$1.15