Answer:
x=28
y= -4
Step-by-step explanation:
9x+6y= -12
-x-4y= -12
multiply -x-4y=-12 by 9 so the x's are equal
9x+6y= -12
-9x-36y= -108
add the equations so the x's cancel out
-30y=120
y= -4
plug y into an equation to find x
-x-4(-4)=-12
-x+16= -12
-x= -28
x=28
Answer:
1. none
Step-by-step explanation:
When you simplify the expression, you see that the statement is is false for any value of x.
Answer:
Yes, (-6,-38) is a coordinate pair off the equation
Step-by-step explanation:
Plug y=7x+4 into your graphic caculator
press 2ND, GRAPH and scroll up to see the point.
Answer: After 1 year: $5,610
After 2 years: $5,722.20
Step-by-step explanation: Use the formula for periodic compounding interest, which is
A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.
Here, P = 5,500, r = 0.02 (that's 2% as a decimal), n = 1,
t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)
Plug the known values in to solve...
For 1 year...
A = 5,500(1 + 0.02/1)^(1*1)
A = 5,500(1.02)^1
A = 5,610
For 2 years...
A = 5,500(1 + 0.02/1)^(1*2)
A = 5,500(1.02)²
A = 5,722.20
Answer:
a) 560 (as you know)
Step-by-step explanation:
There are 7C3 = 35 ways to choose 3 full-time days from 7.
There are 2^4 = 16 ways to choose a half-day each day from the remaining 4 days.
The total number of possible schedules is ...
35×16 = 560
_____
nCk = n!/(k!(n-k)!)
7C3 = 7·6·5/(3·2·1) = 7·5 = 35
