Answer:
Step-by-step explanation:
Let amount of apples be x and oranges be y
<u>Then we have:</u>
<u>Subtract triple of the first equation from the second one:</u>
- 3x + 4y - 3(x + y) = 100 - 3*30
- 3x - 3x + 4y - 3y - 10
- y = 10
<u>Then finding x</u>
So apples = 20, Oranges = 10
Answer:
Step-by-step explanation:
Answer: The first interval:0 ≤ x ≤ 20
Procedure
You have to solve this inequality
-2x^2 +40x +600 ≥ 600
-2x^2 +40x ≥ 0
-x^2+20x ≥ 0
x^2 - 20 x ≤ 0
x(x-20) ≤ 0
That is only possible if the two factors have different signs.
Let's examine the possibilities
x ≥ 0 and x -20 ≤ 0⇔x≤20, that is 0≤x≤20
The other possibility is
x ≤ 0 and x - 20 ≥ 0 ⇔x≥20. This conditions is not possible.
So the solution is 0≤x≤20
Answer:
0.1
Step-by-step explanation:
It is less than 0.2
(x - 1/6)(x - (-2/3)) = 0
(x - 1/6)(x + 2/3) = 0
x^2 + 2/3x - 1/6x - 1/6(2/3) = 0
x^2 + 1/2x - 1/9 = 0
18x^2 + 9x - 2 = 0