Answer:
x = 0.666(Repeating)
Step-by-step explanation:
4x+1=5
Subtract 1 from both sides
4x=6
Divide both sides by 4
x = 0.666(Repeating)
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
I’m sorry if I’m wrong but the equation be 3x+6=2x and if you solve that, x=6.
Explanation: 3x+6=2x
-3x. -3x
6=x
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➷ Substitute the x and y values into the equation:
y = mx + c
'm' is the slope, which we know is 4
-10 = 4(3) + c
- 10 = 12 + c
c = -22
The equation is y = 4x -22
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➶ Hope This Helps You!
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