Answer:
length = 12 feet and width = 8 feet
Step-by-step explanation:
since the area = 96 ft² then
(x + 1)(x - 3) = 96 ( A = lw )
expand the factors on the left side
x² - 2x - 3 = 96 ( subtract 96 from both sides )
x² - 2x - 99 = 0 ← in standard form
(x - 11)(x + 9) = 0 ← in factored form
equate each factor to zero and solve for x
x - 11 = 0 ⇒ x = 11
x + 9 = 0 ⇒ x = - 9
but x > 0 ⇒ x = 11
length = 11 + 1 = 12 feet and width = 11 - 3 = 8 feet
Answer:
Positive association is correct
Step-by-step explanation: The dots form are going up, forming a positive line. If they were to go down they would be negative. So in this case positive association is correct
Answer:
2.1
Step-by-step explanation:
w/7 = .3
Multiply each side by 7
w/7 *7 = .3*7
w = 2.1
Answer:
2000 L
Step-by-step explanation:
There are 1250 L of water in a tank at present. If the tank is 0.625 full, what is the capacity of the tank?
The simple solution is:
1250 L ÷ 0.625 = 2000 L
The algebraic solution is:
Let <em>c</em> equal the capacity of the tank.
Therefore, <em>c</em> × 0.625 = 1250.
Divide both sides by 0.625:
<em>c</em> × 0.625 ÷ 0.625 = 1250 ÷ 0.625
And simplify:
<em>c</em> = 1250 ÷ 0.625
<em>c</em> = 2000
