Answer:
4.5
Step-by-step explanation: Multiply the length value by 100
Answer:
Both x=6 and x=22/3 are extraneous. There are no actual solutions to the given equation.
The equation given was: 2|x-7|=x-8.
Step-by-step explanation:
2|x-7|=x-8
Distribute the 2. We can do this because 2=|2|.
|2x-14|=x-8
|2x-14|=|-(2x-14)| holds since |1|=|-1|.
This means we have the following two equations to solve:
2x-14=x-8 or -(2x-14)=x-8
Let's first solve:
2x-14=x-8
Subtract x on both sides:
x-14=-8
Add 14 on both sides:
x=-8+14
Simplify:
x=6
Let's solve:
-(2x-14)=x-8
Distribute:
-2x+14=x-8
Add 2x on both sides:
14=3x-8
Add 8 on both sides:
22=3x
Divide both sides by 3:
22/3=x
So let's check both x=6 and x=22.3.
2|x-7|=x-8 for x=6:
2|6-7|=6-8
2|-1|=-2
2(1)=-2
2=-2 is not true so x=6 is extraneous.
2|x-7|=x-8 for x=22/3:
2|22/3-7|=22/3-8
2|22/3-21/3|=22/3-24/3
2|1/3|=-2/3
2/3=-2/3 is not true so x=22/3 is extraneous.
Let the width of the rectangle be W in.
Therefore, length = 2W in
Area of the rectangle, Ar = L*W = 2W*W = 2W^2
Also, perimeter of the rectangle, Pr = 2(L+W) = 2(2W+W) = 2(3W) = 6W
Then, perimeter of square, Ps = 52-6W
And, area of the square, As = [(52-6W)/4]^2 = [13-1.5W]^2 = (13-1.5W)(13-1.5W) = 169-19.5W-19.5W+2.25W^2 = 2.25W^2-39W+169
Therefore,
Total area, At = Ar+As = 2W^2+2.25W^2-39W+169 = 4.25W^2 -39W+169
For maximum area, the first derivative of the total area expression should be zero. Therefore;
dAt/dW = 8.5W - 39 = 0 => 8.5W = 39 => W = 39/8.5 = 4.588 in
Therefore, for maximum area, width (W) should be 4.588 in
The value is multiplied by 3 when n increases by 1. The only expression that does that is the one that has 3 as the base of the exponential term.
The appropriate selection is ...
It's 16 i guess..............