Answer:
57 mph
Step-by-step explanation:
Let b represent Bob's speed on the trip. Then his time is ...
time = distance/speed
Bob's time = 230/b
Then John's speed is b+8, and his time is ...
John's time = 230/(b+8)
The difference of their times is 1/2 hour:
Bob's time - John's time = 1/2
230/b -230/(b+8) = 1/2 . . . substitute the expressions for time
460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)
b^2 +8b -3680 = 0 . . . . . . .put in standard form
(b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square
b = -4 +√3696 ≈ 56.795 . . . solve for positive b
Bob's drove about 57 mph on the trip.
Answer:
Step-by-step explanation:
Let the quadratic function be
y=a(x+4)²-1
∵(-7,8) lies on it.
8=a(-7+4)²-1
8+1=a(-3)²
9a=9
a=9/9=1
so quadratic function is
f(x)=1(x+4)²-1
or
f(x)=x²+8x+16-1
so quadratic function is
f(x)=x²+8x+15
Given:
To solve, we need to get n isolated on one side. To do this, subtract 10 from both sides. This will cancel the +10 on the right side and give us -12 of the left, leaving us with:
or 
If you want to check your answer, plug in -12 for n.
The statement is true, therefore, 
.
Part A: 25+24h
25+24(3)=25+72=97
Answer:
The annual federal tax deduction is $2705.04 .
Step-by-step explanation:
As given deduction in a week
Federal Tax $52.02
As there are 52 weeks in a week.
Thus
Annual Federal Tax deduction = Total number of weeks in a year × Federal Tax deduction in week
= 52 × 52.02
= $ 2705.04
Therefore the annual federal tax deduction is $2705.04 .
