We will define the following variables to solve the problem:
s: normal speed
t: normal time
We write the following system of equations:
6 = s * t
6 = (s + 3) * (t-7)
Rewriting the equation two we have:
6 = s * t -7s + 3t -21
Substituting:
s = 6 / t
6 = (6 / t) * t -7 (6 / t) + 3t -21
Multiplying both sides by t:
6t = 6t - 42 + 3t ^ 2 - 21t
Rewriting:
3t ^ 2 - 21t - 42 = 0
We take the positive root:
t = 7/2 + root (105) / 2
t = 8.62 h
We look for the value of the speed:
s = 6 / t
s = 6 / 8.62
s = 0.696 km / h
Answer:
she did travel 0.696 kilometers per hour
5 would be an answer.<span />
Answer:
Step-by-step explanation:
x (3,7,11,15)
y (4,6,8,10)
A. This IS a function because u have no repeating x values
B. Data in table :
when x = 11, y = 8
relation : f(x) = 5x - 21....when x = 11
f(11) = 5(11) - 21
f(11) = 55 - 21
f(11) = 34.....so when x = 11, y = 34
therefore, the relation f(x) = 5x - 21 has a greater value then the table
C. f(x) = 5x - 21......f(x) = 99
99 = 5x - 21
99 + 21 = 5x
120 = 5x
120/5 = x
24 = x <====
Answer:
$11917.03
Step-by-step explanation:
Use Compound Interest Formula:
A = 7,000 (1 + 0.06/2)^2(9)
Simplify:
A = 7,000(1.03)^18
Solve:
A = $11917.03
Answer:
D.
Step-by-step explanation:
3 1/4 = 3.25
3 2/7 = 3.29
3.29>3.25
3.31>3.29
3.36>3.31
so the answer is D.