Answer:
Step-by-step explanation:
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
Answer:
Step-by-step explanation:
A full rotation is 360 degrees so the required angle is 360/12 = 30 degrees.
We have the following variable:
x = The amount of orange juice
We have the following equation:
x + (× + 100) + 1/2 × = 1850
We clear x:
(5/2) x + 100 = 1850
(5/2) x = 1850 - 100
(5/2) x = 1750
x = 1750 / ((5/2))
x = 700 ml
pineapple juice = × + 100 = 700 + 100 = 800 mL
strawberry juice = 1/2 × = (1/2) 700 = 350 mL
The difference is:
800 - 350 = 450 mL
Answer:
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
450 mL
