Answer:
The three answers are B,C,F
Answer:
x>-2
Step-by-step explanation:
First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)
Answer: (5,-1)
Step-by-step explanation:
Answer:
Answer: 170%
Step-by-step explanation:
Answer:
x = 6.54 cm
h = 3.27 cm
Step-by-step explanation:
Volume of open top box
V = 140 cm³
Dimensions of the box
It is a base square box then area of the base of side x is
A(b) = x²
And we will call h the height of the box then
V = 140 ⇒ 140 = x²*h ⇒ h = 140/ x²
We have to calculate the area of the 4 sides
Area of one side is As = x*h ⇒ total area of 4 sides = 4 x* 140/x²
Ats = 560/x
Then Total area of the box is
A(t) = Area of the base + Total area of sides
A(x) = x² + 560/x
Taking derivatives on both sides of the equation we get:
A´(x) = 2x - 560/x²
A´(x) = 0 ⇒ 2x - 560/x² = 0 ⇒ 2x³ - 560 = 0
x³ = 280 ⇒ x = 6.54 cm
And h h = 140/ (6.54)² ⇒ h = 140/ 42.77 h = 3.27 cm
