The answer is: " 1024π units² " ; or; " 3215.36 units² " .
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A = π * r² ;
A = π * 32² = 1024 π units² ;
or, using "3.14" for "π" ;
1024 * π = 1024 * (3.14) = 3215.36 units² .
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<em>the remainder is </em><em>- 1</em>
- Step-by-step explanation:
<em>when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )</em>
<em>x + 3 = 0 => x = - 3</em>
<em>f(-3) = (-3)³ - 7(-3) + 5</em>
<em>= - 27 + 21 + 5</em>
<em>= - 1</em>
<em />
Add the two equations
since the 5x and -5x cancel out
you get y=-4
plug y=-4 into the first equation
solve for x
x=2
THE ANSWER IS: (2,-4)
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)
