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
Answer:
y>4x-4
Step-by-step explanation:
The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
<h3>What is distance?</h3>
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
Speed = 72 km/h
time = 45 mins = 45/60 = 0.75 hours
We know,
Distance = Speed×time
Distance = 72(km/h)×0.75(h)
Distance = 54 km
Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
Learn more about the distance here:
brainly.com/question/26711747
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12+8+8=28
8 students are wearing a blue shirt so the probability is 8/28
