Hayden places these four blocks into a bag. A B С He picks one block without looking. What is the probability that the block Hay
den picks has a letter on it? . A 1/4 B 1/3 C 2/3 D 3/4
1 answer:
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Answer:
Γ = 15
Step-by-step explanation:
Given
f(x) = x² - 8x + Γ
with a = 1, b = - 8 and c = Γ , then
sum of zeros α + β = - = -
= 8
product of zeros = αβ = = Γ
Given α - β = 2 , then
(α - β)² = 2²
α² - 2αβ + β² = 4 → (1)
and
(α + β)² = 8²
α² + 2αβ + β² = 64 → (2)
Add (1) and (2) term by term
2α² + 2β² = 68 ( divide through by 2 )
α² +β² = 34
Substitute α² + β² = 34 into (1)
34 - 2αβ = 4 ( subtract 34 from both sides )
- 2αβ = - 30 ( divide both sides by - 2 )
αβ = 15
Now
αβ = Γ = 15
Thus
f(x) = x² - 8x + 15
<h3>Answer:</h3>
In this question, we're evaluating the given expression.
The given expression is:
We would simply solve the equation until we reach our final answer.
Solve:
A friendly reminder is when you see something like "-(-", you would turn it into a plus sign.
When you're done solving, you should get 10.
This means that 10 would be your final answer.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>