Answer:
x = -2.32, 10.32 to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x - 24 = 0
x = [ - (-8) +/- sqrt (((-8)^2 - 4*1*(-24)] / 2
= 4 +/- sqrt160/2
= 4 +/- 6.3245
= -2.32, 10.32.
The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Answer:
A = x^2 + 5x - 14
Step-by-step explanation:
A = L × W
A = (x+7) × (x-2)
A = x^2 + 7x - 2x - 14
