Answer:x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4−3x=8−4x
4+−3x=8+−4x
−3x+4=−4x+8
Step 2: Add 4x to both sides.
−3x+4+4x=−4x+8+4x
x+4=8
Step 3: Subtract 4 from both sides.
x+4−4=8−4
x=4
Answer:
b both pairs of opposite sides are parallel
Answer:
x = 1, y = 60
Step-by-step explanation:
Value of new-releases (x) = $20 each
Value of classic (y) = $8 each
Total budget = $500
Equation : 20x + 8y = 500
The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.
Lets assume the librarian buys at least one new-release DVD.
x=1
20x + 8y = 500
8y + 20(1) = 500
y = 60
<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>
!!
(x + 1)²(x - 4)(-2x + 3)
(x + 1)(x + 1)(x - 4)(-2x + 3)
(x² + x + x + 1)(-8x² + 3x + 8x - 12)
(x² + 2x + 1)(-8x² + 11x - 12)
(-8x^4 + 11x³ - 12x² - 16x³ + 11x² - 12x - 8x² + 11x - 12)
(8x^4 + 11x³ - 16x³ - 12x² + 11x² - 8x² - 12x - 11x - 12)
8x^4 - 5x³ + 15x² - 23x - 12
