Answer:
, 
, 
, 
, 
Step-by-step explanation:
First question:
He starts with 18, gains 2 every week, and needs 42. This means the equation is .
Second question:
He starts with 2, gains 18 every week, and needs 42. This means the equation is .
Third question:
It starts with 42, loses 2 every day, and needs 18. This means the equation is .
Fourth question:
Each friend has a total bill of 18+x, there are 2 friends, and they need 42. This means the equation is .
The only answer left is , so that's the answer to the fifth problem.
The current area is 15 x 9 = 135 square feet.
He wants to increase both the length and width by X:
Set up an equation:
(15 +x) * (9 +x) = 135 * 2
Simplify :
x^2 + 24x + 135 = 270
Subtract 270 from both sides:
x^2 + 24x - 135 = 0
Use the quadratic formula to solve for x:
-24 +/- √(24^2 - 4(1*-135) / 2*1
x = 4.7 or -28.7
The answer has to be a positive value, so x = 4.7 feet.
Answer:
x = 6
Step-by-step explanation:
I think it's supposed to be
y = x² - 12x + 36
Set the equation equal to zero and solve...
0 = x² - 12x + 36
Now factor. What 2 numbers add to -12, and multiply to 36?
-6 and -6, so our factors are
0 = (x - 6)(x - 6)
So
0 = x - 6, then
6 = x
Step-by-step explanation:
Let's call L the length and W the width. The length is 10 feet longer than the width, so:
L = W + 10
The area is the length times width, so:
119 = LW
Substituting:
119 = (W + 10) W
119 = W² + 10W
0 = W² + 10W − 119
0 = (W + 17) (W − 7)
W = -17 or 7
Since W must be positive, W = 7.
L = W + 10
L = 17
The length and width are 17 feet and 7 feet, respectively.
