Answer:
X³-x
Step-by-step explanation:
Lcm
x(x-1)(x+1)
x(x²-1)
x³-x
Answer:
Length = 34 and Width = 30
Step-by-step explanation:
This is a simple system of equation that is mainly solved using substitution, so keep in mind the following key points:
- Rectangle's Perimeter is 128 ft.
- "the garden is 4 feet longer than it is wide," this simply means that the Length is 4 feet longer than the Width: which algebraically translates to
![L = 4 + W](https://tex.z-dn.net/?f=L%20%3D%204%20%2B%20W)
- Perimeter formula for Rectangle is
First, we find the Width by plugging the given values in the formula:
![128 = 2((4 + W) + W)\\128 = 8 +2W + 2W\\120 = 2W + 2W\\120 = 4W\\W = \frac{120}{4}\\\ W = 30](https://tex.z-dn.net/?f=128%20%3D%202%28%284%20%2B%20W%29%20%2B%20W%29%5C%5C128%20%3D%208%20%2B2W%20%2B%202W%5C%5C120%20%3D%202W%20%2B%202W%5C%5C120%20%3D%204W%5C%5CW%20%3D%20%5Cfrac%7B120%7D%7B4%7D%5C%5C%5C%20W%20%3D%2030)
All we did here was substituting 4 + W for L to find the Width.
Now, to find the Length we plug in the value of W and solve for L:
![128 = 2(L + 30)\\\frac{128}{2} = (L + 30)\\64 = L + 30\\64 - 30 = L\\L = 34](https://tex.z-dn.net/?f=128%20%3D%202%28L%20%2B%2030%29%5C%5C%5Cfrac%7B128%7D%7B2%7D%20%3D%20%28L%20%2B%2030%29%5C%5C64%20%3D%20L%20%2B%2030%5C%5C64%20-%2030%20%3D%20L%5C%5CL%20%3D%2034)
Tip: always sketch a rough geometrical diagram of word problems, it helps. (Refer to the diagram attached)
Keep working hard and good luck. <3
2x-3y = -2 --------> (1)
4x + y = 24 -------> (2)
multiply equation number (1) by -2
-4x + 6y = +4
remove the x value from both equation (1) and (2) because its the same number and different sign
6y + y = 4 + 24
7y = 28
divide both by 7
y = 4
now putting y=4 in two equations
2x - 3y = -2
2x-3(4) = -2
2x-12 = -2
2x = -2 + 12
2x = 10
x = 5
or
4x + y = 24
4x + 4 = 24
4x = 24-4
4x = 20
x = 5
so its (5,4)
Answer:
Square root of the variance of the "number of daily parking tickets"
Step-by-step explanation:
The Standard Deviation is a measure of how spread out numbers are.
Its symbol is σ (the Greek letter sigma)
The formula is easy: it is the square root of the Variance.
The square roots of 25 are +5 and -5 .