Answer: C
<u>Step-by-step explanation:</u>
∑ 8(
)⁽ⁿ⁻¹⁾ from n = 1 to n = 5
n = 1 → 8()⁽¹⁻¹⁾
= 8 = 
n = 2 → 8()⁽²⁻¹⁾
= 
= 
n = 3 → 8()⁽³⁻¹⁾
= 
= 
n = 4 → 8()⁽⁴⁻¹⁾
= 
= 
n = 5 → 8()⁽⁵⁻¹⁾
= 
=
Sum = 
= 408.99
Answer:
5/6 of the time or 50 minutes
Step-by-step explanation:
Answer:
4^5/ 4^-9
Step-by-step explanation:
the third one
This is a system of equations problem.
L = Hours of Swim Lessons
C = Hours as Cashier
L + C = 15 This is an equation for working 15 hours total.
so
L = 15-C
6L + 8C = 100 This is an equation for making at least $100.
so
6 (15-C) + 8C = 100 *You substituted 15-C for L here
90 - 6C + 8C = 100 Distribute
90 + 2C = 100
2C = 10
C = 5 You can work 5 hours as a cashier
L + C = 15
L + 5 = 15
L = 10 You can work 10 hours teaching swimming lessons.
If you want to make EXACTLY $100 you would work 5 hours as cashier and 10 hours teaching swimming lessons.
HOWEVER, the question says AT LEAST $100 and NOT MORE than 15 hours per week. Since you make more money as a cashier, any work over 5 hours will help you make over $100.
As long as you work at least 5 hours as a cashier and any remaining hours teaching swimming lessons, you will make over $100.
5 cashier, 10 swimming
6 cashier, 9 swimming
7 cashier, 8 swimming...
Mr. Pacey
JH/HS Social Studies Teacher
(but I've also helped with Math Team for JH & HS)
Answer: f(x) = 2x - 3
===================================================
We're given f(-1) = -5 and f(5) = 7
This means we know the two points (-1,-5) and (5,7) are on the line.
Find the slope
m = (y2-y1)/(x2-x1)
m = (7-(-5))/(5-(-1))
m = (7+5)/(5+1)
m = 12/6
m = 2
The slope is 2.
Use this along with (x1,y1) to find the equation. We'll use point slope form
y - y1 = m(x - x1)
y - (-5) = 2(x - (-1))
y + 5 = 2(x + 1)
y = 2x + 2 - 5
y = 2x - 3
f(x) = 2x - 3
