Answer: 7 laps
Step-by-step explanation:
The athlete planned to run 3 miles
1 lap = 3/7 miles
x laps = 3 miles
by proportion :
x × 3/7miles = 3 miles
x = 3 ÷ 3/7
x = 3 x 7/3
x = 7
Therefore: the athlete will run 7 laps
which means the parabola lies above the x-axis over its entire domain. This means the area is given by
Answer:
x = 1
Step-by-step explanation:
plug y = 6 on to the equation y =x + 5
=> 6 = x +5
=> x = 1
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = 
S = 480 + 18X
E(S) = 
= 750
Mean of S = 750
Var (S) = 
Var(S) = 
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
For this case we have the following functions:
City A:
f (x) = 9x
City B:
g (x) = 3 (2) ^ x
The total number of employees will be:
h (x) = f (x) + g (x)
Substituting we have:
h (x) = 9x + 3 (2) ^ x
Rewriting we have:
h (x) = 3 (3x + (2) ^ x)
For 5 months we have:
h (5) = 3 * (3 * (5) + (2) ^ 5)
h (5) = 141
Answer:
the total number of employees in the company over x months and the total number of employees will be 141 when the function is:
h (x) = 3 (3x + (2)^x); 5 months
