Answer:
x = 4
Step-by-step explanation:
Given
2(3x - 5) = 2x + 6 ( divide both sides by 2 )
3x - 5 = x + 3 ( subtract x from both sides )
2x - 5 = 3 ( add 5 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
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:
The third one
Step-by-step explanation:
Answer: 41
Step-by-step explanation:
Answer:
The price of price of the stock after it has been owned for 12 weeks is $92.55
Step-by-step explanation:
Given: The price of a particular stock is represented by the linear equation
y = -0.91x + 103.47
where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.
We have to find the price of price of the stock after it has been owned for 12 weeks.
Since , x represents the number of weeks the stock has been owned.
Thus, by substitute, x = 12
We get the value of y , the price of stocks.
Thus, y(x) = -0.91x + 103.47
⇒ y(12) = -0.91(12) + 103.47
⇒ y(12) = -10.92 + 103.47
Solving , we get,
⇒ y(12) = 92.55
Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.
