Solve each quadratic equation. Show your work.
1 answer:
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(x + 2)² - 10 = 0 (assuming it's equal to zero)
Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0
(by quadratic formula)
, since we're taking the positive solution.
Expand the binomial: (x + y)² = x² + 2xy + y²
Thus, x² + 4x + 4 - 10 = 0
x² + 4x - 6 = 0
Answer:
see explanation
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 5 , x = 21
k = yx = 5 × 21 = 105
y = ← equation of variation
When x = 10, then
y = = 10.5
Answer:
0.749
Step-by-step explanation:
The probability that at least one of the three taken balls is blue is the inverse of the probability that none of the three taken balls is blue, aka all 3 of the taken balls are red. The probability of this to happen is
In the first pick: 13/20 chance of this happens
In the 2nd pick: 12/19 chance of this happens
In the 3rd pick: 11/18 chance of this happens
So the probability of picking up all 3 red balls is
So the probability of picking up at least 1 blue ball is
1 - 0.251 = 0.749