Solve for y over the real numbers:
7 y^2 + 18 y + 22 = 6 y^2 + 34 y - 41
Subtract 6 y^2 + 34 y - 41 from both sides:
y^2 - 16 y + 63 = 0
The left hand side factors into a product with two terms:
(y - 9) (y - 7) = 0
Split into two equations:
y - 9 = 0 or y - 7 = 0
Add 9 to both sides:
y = 9 or y - 7 = 0
Add 7 to both sides:
Answer: y = 9 or y = 7
Answer:
615.6
Step-by-step explanation:
First find the number of cubic feet.
V = B * h
B is a triangle with a right angle on your left and two 6 foot lengths on each leg.
Area = 1/2 b * h
b = 6 feet
h = 6 feet
Area = 1/2 * 6 * 6 = 18 square feet.
The volume = B * h
h = 11.4
B = 18 sq ft
Volume = 18 * 11.4
Volume = 205.2 Cubic Feet.
Each cubic foot costs 3.00 dollars
Cost = volume * cost/cu foot
Cost = 205.2 * 3
Cost = 615.6
a) x+5 = 7
b) 2x - 8 = 20
c) 4x - 6x = 200
d) x+1= 5
3
a) x + 5 = 7
x + 5 - 5 = 7 - 5 (Subtract 5 from both sides)
x = 2
b) 2x - 8 = 20
2x - 8 + 8 = 20 + 8 (Add 8 to each side)
2x = 28
2x/2 = 28/2 (Divide each side by 2)
x = 14
c) 4x - 6x = 200
-2x = 200
-2x/-2 = 200/-2 (Divide each side by -2)
x = -100 (Note that a negative number divided by a negative number is positive, whereas a positive number divided by a negative number is negative)
d) x + 1 = 5
x + 1 - 1 = 5 - 1 (Subtract 1 from each side)
x = 4
What was its length to the nearest millimetre?