Answer:
2
Step-by-step explanation:
let 'x' = number
x³ - x² = 2x
x³- x² - 2x = 0
x(x² - x - 2) = 0
x(x - 2)(x + 1) = 0
x = -1, 0, 2
the only positive solution is the number 2
Answer:
x^2 -81
Step-by-step explanation:
(x+9)(x-9)
FOIL
first x*x = x^2
outer -9x
inner 9x
last -9*9 = -81
Add them together
x^2 -9x+9x -81
Combine like terms
x^2 -81
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25
Answer:
730, 735, 740
Step-by-step explanation:
Let the three consecutive multiples of 5 be, x, x+5 and x+10
Given,
x + x+5 + x+10 = 2205
3x + 15 = 2205
Subtract 15 from both sides,
3x = 2205 - 15
3x = 2190
Divide both sides by 3,
x = 2190/3 = 730
So, x= 730
x+5 = 735
x+10 = 740
Answer:

Step-by-step explanation:

It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).
Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).

Now line up the equations (they are already lined up - convenient) and add them from top to bottom.

The -4x and 4x are opposites, so they cancel out.
Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.

Divide both sides by 8.

Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.

Simplify.

Add 2 to both sides.

Divide both sides by 4.

The final answer is
.
