3(5+4b)
3×5=15+3×4=12b=
15+12b
Answer:
y = 1/3x -2
Step-by-step explanation:
the equation for slope intercept form is y= mx + b.
m is the slope and b is where the line crosses the y-axis which is called the y-intercept.
to find the y-intercept plug in a coordinate on the line (6,0)
0 = 1/3(6) + b
then solve for b by first multiplying 1/3 by 6
0 = 2 + b
subtract 2 from both sides
-2 = b
and then you can plug b into the equation
y = 1/3x - 2
Answer: 1 mile.
Explanation: 1/2 of an hour is 1 mile because the speed was 2 miles an hour so if you do half of that it is 1 mile.
Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Assuming f(x) is the cost and X is the number of months.
f(x)=2x+40
