Answer:
B
Step-by-step explanation:
Given
x² + 3x + 2 = 0
To factor the quadratic
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (+ 3)
The factors are 2 and 1, since
2 × 1 = 2 and 2 + 1 = 3, thus
(x + 2)(x + 1) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
Answer:
108 people
Step-by-step explanation:
Number of successes
=(Number of test subjects) X (Success rate)
=285*(38%)
=285*0.38
= 108.3 => 108
Therefore there were 108 successes among 285 trials.
Answer: 12 cm = x
Step-by-step explanation:
Answer:
Landing on Blue: Likely
Landing on Green: Impossible
Landing on Yellow: Unlikely
Step-by-step explanation:
Blue: 50% chance
Green: 0% chance
Yellow: 12.5% chance
Answer:
One pipe drains 140 L/min and the other pipe drains 190 L/min
Step-by-step explanation:
Assume that the pipe which releases less is x L/min
∵ One pipe releases x L/min
∵ Other pipe releases 50 L/min more than it
∴ The other pipe releases x + 50 L/min
∵ Water is being drained out of a tank through these 2 pipes
∵ Water is being drained at rate 330 L/min through them
- Add their rates and equate the sum by 330
∴ x + x + 50 = 330
- Add the like terms in the left hand side
∴ 2x + 50 = 330
- Subtract 50 from both sides
∴ 2x = 280
- Divide both sides by 2
∴ x = 140
∵ x represents the rate of one pipe and x + 50 represents the
rate of the other pipe
∴ One pipe drains 140 L/m
∴ Other pipe drains 140 + 50 = 190 L/min