The equation would be
letter b. 25h + 20 (15 - h) = 350
Let’s try to solve to get the value of h
=> 25h + 20(15 -h) = 350
=> 25h + (300 – 20h) = 350
=> 25h + 300 – 20h = 350
=> 300 + 5h = 350
=> 5h = 350 – 300
=> 5h / 5 = 50/ 5
=> h = 10
Thus the value of h is 10 which means a car travel on the highways and
used 10 gallons of gasoline,
The inverse of this function is f(x) = 
To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.
f(x) = 
----> Switch the x and f(x)
x = 
----> Muliply both sides by 3
3x = -15 + 4f(x) ----> Add 15 to both sides
3x + 15 = 4f(x) ----> Divide both sides by 4.
f(x) =
Answer:
Step-by-step explanation:
Factor out 7 from top and bottom :
Divide top and bottom by 7 :
Simplify :
Simplify :
Collect everything together :
Hope this helped and have a good day
Answer: Downhill:10mph Uphill:5mph
Step-by-step explanation:
We are looking for Dennis’s downhill speed.
Let
r=
Dennis’s downhill speed.
His uphill speed is
5
miles per hour slower.
Let
r−5=
Dennis’s uphill speed.
Enter the rates into the chart. The distance is the same in both directions,
20
miles.
Since
D=rt
, we solve for
t
and get
t=
D
r
.
We divide the distance by the rate in each row and place the expression in the time column.
Rate
×
Time
=
Distance
Downhill
r
20
r
20
Uphill
r−5
20
r−5
20
Write a word sentence about the time.
The total time traveled was
6
hours.
Translate the sentence to get the equation.
20
r
+
20
r−5
=6
Solve.
20(r−5)+20(r)
40r−100
0
0
0
=
=
=
=
=
6(r)(r−5)
6
r
2
−30r
6
r
2
−70r+100
2(3
r
2
−35r+50)
2(3r−5)(r−10)
Use the Zero Product Property.
(r−10)=0
r=10
(3r−5)=0
r=
5
3
The solution
5
3
is unreasonable because
5
3
−5=−
10
3
and his uphill speed cannot be negative. So, Dennis's downhill speed is
10
mph and his uphill speed is
10−5=5
mph.
Check. Is
10
mph a reasonable speed for biking downhill? Yes.
Downhill:
10 mph
5 mph⋅
20 miles
5 mph
=20 miles
Uphill:
10−5=5 mph
(10−5) mph⋅
20 miles
10−5 mph
=20 miles
The total time traveled was
6
hours.
Dennis’ downhill speed was
10
mph and his uphill speed was
5
mph.
Because 3/4 and 3/8 is more than one cup, Jasmine will not be able to mix the flour and the cornmeal in the container.
3/4+3/8=6/8+3/8=9/8
