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Answer:(0,4), (-1,0), (-4,-2)
Step-by-step explanation:
Answer:
5000 Australian Dollars
Step-by-step explanation:
To find out how many Australian dollars need to be sold, we first need to find the profit of a single dollar sold.
We will be using the formula for profit, which is:
Profit = Total Revenue - Total Cost
Now we define the available variables.
Total Revenue = 81.40
Total Cost = 80.20
Profit = 81.40 - 80.20
Profit = rs 1.20/dollar
Now we have to find how many dollars we have to sell to get a profit of rs 6000.
We simply divide the amount of profit that we want to the price per dollar.
Total Profit = 6000
Profit per dollar = 1.20
This give us:
6000 / 1.20 = 5000 Australian Dollars.
Answer:
radius
Step-by-step explanation:
Answer:
k = -
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - 
k - 2 = 0 ⇒ k = 2