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
Y is directly proportional to x and therefore takes the form y=kx where k is the constant of proportionality.
Dividing both sides by x for the given values, k becomes 18/4 = 4.5
I have this to bro I’m looking for the answer key
Answer:
Area = 30
Step-by-step explanation:
Add the two sides
8 + 4 = 12
Multiply that number by the height
12 × 5 = 60
Divide that number by 2
60 ÷ 2 = 30
Answer:
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
The ratio between the two variables is a constant called constant of proportionality k
<u><em>Verify each case</em></u>
A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.
Multiply in cross
Is true
therefore
The situation represent a proportional relationship
C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags
Multiply in cross
Is not true
therefore
The situation not represent a proportional relationship
