Answer:
x = 
Step-by-step explanation:
Given
-
=
← factor denominator
-
= 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = 
However, x ≠ - 1 for reason given above, then
solution is x = 
The number of tissues that can fit the container will be given by:
[volume of the container]/[volume of tissue box]
volume of container:
V=length×width×height
V=19.5×39×19.5
V=14829.75
Volume of tissue box:
v=6.5×6.5×6.5
v=274.625
Number of tissues in the container:
14829.75/274.625
=54
Answer: 54 tissue paper boxes
Answer:
<em>y = - </em>
<em> x + 3 </em>
Step-by-step explanation:
y = mx + b
m =
and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ <u><em>b = 3</em></u>
(4, 1), (6, 0)
m =
= -
<em>y = - </em>
<em> x + 3</em>
Answer:
268 cm
Step-by-step explanation:
A P E X
The factory normally produces 800 reels a day.
They have to cut their production by 1/5, however.
800 * 4/5 = 640 reels a day.
30 days would mean 640 * 30 reels...19200 reels.
This is less than 20,000, so the factory will NOT be able to produce enough reels.