Answer:
No mistake
Step-by-step explanation:
2x + y = 5
x - 2y = 10
y = 5 - 2x
x - 2(5 - 2x) = 10
x - 10 + 4x = 10
5x - 10 = 10
5x = 20
x = 4
2(4) + y = 5
y = -3
She made no mistake
You can check by plugging in x = 4 and y = -3 into the original equations . They fit exactly.
Answer:
78%
Convert fraction (ratio) 39 / 50 Answer: 78%
Answer:
150/250
Step-by-step explanation:
24/42, 75/135, 150/250, and 75/150 I believe is what you're asking. We know 75/135 is better than 75/150 so 75/150 is out of the equation. If we multiple 75/135 by 2 we get 150/270 which is more than 150/250, so 75/135 is out of the equation. Now to compare 24/42 and 150/250 we can divide their fractions, if we divide 24/42 we get 0.57, so 57%. If we did 150/250 we get 0.6 or 60%. So 150/250 is the best score.
PV=FV/(1+i)^t
FV=7000, i=3.5%=0.035,t=9
put everything in the formula
PV=7000/(1+0.035)^9
PV=$5136.12
Answer:
(3) y=(x+3)
Step-by-step explanation:
I'm not sure what is the parent function, but in most graphs if you will shift it to the left or right (negative sign or positive sign, respectively), it will be inside a parenthesis and the opposite sign is the real movement.
For a cubic function these will be the movements:
f(x)=(x+/-h)^3+/-k
Only the opposite sign of h will be the real movement, while k's sign will automatically indicate the correct movement.
h= x-axis movement (horizontal, inside of the parenthesis in the equation)
k= y-axis movement (vertical, outside of the parenthesis in the equation)
Hope it helps