Graph a point at (0,2)
then graph a point at (-2,-1)
Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Answer:
The smallest solution is -6
Step-by-step explanation:
2/3 x^2 = 24
Multiply each side by 3/2
3/2 *2/3 x^2 = 24*3/2
x^2 = 36
Take the square root of each side
sqrt(x^2) = sqrt(36)
x = ±6
The smallest solution is -6
The largest solution is 6
Lets say yu are trying to roll a 4 on both of the dice the probability for both is 1/6 so multiply 1/6 × 1/6 and you get 1/36
so the probability for rolling the same number on each dice is 1/36
hope this helps!
Answer:
ANSWER
y = 3x + 6.50
EXPLANATION
The $3 for each downloaded movie is the unit rate of change.
This is represent the slope of the linear function that models this situation.
The monthly fee of monthly fee of $6.50 the constant rate.
It represents the y-intercept of the function.
The linear function is given by
y = mx + by=mx+b
The correct choice is y = 3x + 6.50
