Answer:
72
Step-by-step explanation:
80x.90= 72
The opposite of 6 on a number line is -6
Answer:
x=10
Step-by-step explanation:
Let's solve your equation step-by-step.
40−x=3x
Step 1: Simplify both sides of the equation.
40−x=3x
40+−x=3x
−x+40=3x
Step 2: Subtract 3x from both sides.
−x+40−3x=3x−3x
−4x+40=0
Step 3: Subtract 40 from both sides.
−4x+40−40=0−40
−4x=−40
Step 4: Divide both sides by -4.
−4x
−4
=
−40
−4
x=10
Solve the inequality 1.6-(3-2y)<5.
1. Rewrite this inequality without brackets:
1.6-3+2y<5.
2. Separate terms with y and without y in different sides of inequality:
2y<5-1.6+3,
2y<6.4.
3. Divide this inequality by 2:
y<3.2
4. The greatest integer that satisfies this inequality is 3.
Answer: 3.
We can simply multiply the roots together to find the original function.
(x + 2)(x - 4)(x - 4)(x - 3)
FOIL.
x^2 - 4x + 2x - 8(x - 4)(x - 3)
Combine like terms.
x^2 - 2x - 8(x - 4)(x - 3)
FOIL.
x^3 - 2x^2 - 8x - 4x^2 + 8x + 32(x - 3)
Combine like terms.
x^3 - 6x^2 + 32(x - 3)
FOIL.
x^4 - 6x^3 + 32x - 3x^3 + 18x^2 - 96
Combine like terms.
<h3>x^4 - 9x^3 + 18x^2 + 32x - 96 is the original function with the given roots.</h3>
