Answer:
(A) The slope of secant line is 18.
(B) The slope of secant line is h+16.
Step-by-step explanation:
(A)
The given function is
At x=3,
At x=9,
The secant line joining (3,27) and (9,135). So, the slope of secant line is
The slope of secant line is 18.
(B)
The given function is
At x=5,
At x=5+h,
The secant line joining (5,55) and 
. So, the slope of secant line is
The slope of secant line is h+16.
Take out a GCF (greatest common factor, which is 3x) factor what is left, (x^2 - 4)
Please respond if you understand, or if you need more help!
Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
It takes Emily 6 minutes to wash the car. This means he washes 16
1
6
of the car per minute.Larissa therefore washes 18
1
8
of the car per minute. Working together, they both wash 16+18
1
6
+
1
8
of the car, or 724
7
24
of the car each minute. This means that it takes 247
24
7
minutes to wash the entire car — or 3 minutes, 25.714285... seconds total.
An = a1 + (n - 1)(d)
a1 = the first term in the sequence
d = common difference
n = term
a25 = 3 + (25 - 1)(6)
a25 = 3 + (24)(6)
a25 = 3 + 144
a25 = 147
