Answer:
y intercept = (0,-2)
x intercept = (-2,0)
Step-by-step explanation:
For y intercept, plug 0 for x
y = (0) - 2
y = -2
y intercept = -2
For x intercept, plug 0 for y
(0) = -x - 2
Move -2 to other side
-x = 2
Since x is negitave, make 2 negitave
x = -2
x intercept = -2
Answer and step-by-step explanation:
a. 4 litres in 5 minutes (litres per minute)
4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes
b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes
60 minutes = 4*15 minutes
4 * 4 = 16 litres per hour
c. 800 kilowatt hours in 2 months
1 year = 12 months = 2*6 months
kilowatt per year = 800 * 6 = 4800 kilowatt per year
Hope this helped :3
Answer:
wow this is hard let me do the math hold on
Step-by-step explanation:
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
The answers are C and also D
