Answer:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
5/23 is the correct answer
Answer:
27 hours
Step-by-step explanation:
Let her work "x" hours for paperwork
Since, patrolling amount of hours is THREE TIMES that,
Patrolling = 3x hours
Total Hours = 36
That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:
x + 3x = 36
4x = 36
x = 36/4
x = 9 hours
Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours
So, she spends 27 hours patrolling
Answer:
The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress.
$600 + 10x ≥ $1200
Step-by-step explanation:
From the question, we are told that:
Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer school job.
The amount to make up to complete her wedding dress = $1200 - $600
= $600
To make the rest of the money, Ms. Vicker plans to tutor for Sylvan at a cost of $10 per hour.
= Number of hours Ms vicker must tutor Sylvan to make $600 is calculated as:
$600/$10 = 60 hours
The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress is written as
$600 + 10x ≥ $1200
Answer:
a) 2x+3
b) 5x-7
c) 2x-10
d) 3x/2
Step-by-step explanation:
the number considered is x
