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:
D. x=12
Step-by-step explanation:
Add 17 to the other side of the equal sign
x=17+5
Then add 17 and -5
X=12
The second one is the correct answer. Plug in -3 into the equation.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the histogram is not attached.
However, the solution to your question is to select the interval with the highest frequency
Take for instance, after getting readings from the histogram, yiu have:
1 - 10: 8
11 - 20: 5
21 - 30: 11
31 - 40: 2
And so on.......
Interval 11 - 20 will represent the required interval because it has the highest frequency.
X = y + 5
(x + y) = 3y - 3
y + 5 + y = 3y - 3
2y + 5 = 3y - 3
5 + 3 = 3y - 2y
8 = y
x = y + 5
x = 8 + 5
x = 13
ur numbers are : 8 and 13
