Answer:
Hi there!
Your answer is two times.
Step-by-step explanation:
The distributive property is multiplying the coefficient in front of parentheses into the parentheses. You have two sets of parentheses both with a coefficient that needs to be distributed.
The first time you use it is on 2(x+5), distributing the 2.
The second time you use it is on the -3(2x+7), distributing the -3
Please let me know if you have questions :)
Answer:
-7
Step-by-step explanation:
Answer:
3.56m
Step-by-step explanation:Parameters given:
Area of the rectangular garden = 16.02m^2
Length of the rectangular garden = 4.5m
The Area of a rectangle can be calculated for using the formula below
Area (square meters) = length (meters) × width (meters)
Therefore, 16.02m^2 = 4.5m × width
Width = 16.02m^2 / 4.5m
Width = 3.56m
Therefore the width in meters of the garden is 3.56m
See the attachment below for an illustrative diagram
A = area
l = length
w = width
Answer:
![\dfrac{-1}{x(x+h)}, h\ne 0](https://tex.z-dn.net/?f=%5Cdfrac%7B-1%7D%7Bx%28x%2Bh%29%7D%2C%20h%5Cne%200)
Step-by-step explanation:
If
, then
. It follows that
![\begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5C%5C%5Cfrac%7Bg%28x%2Bh%29-g%28x%29%7D%7Bh%7D%20%26%3D%20%5Cfrac%7B1%7D%7Bh%7D%20%5Ccdot%20%5Bg%28x%2Bh%29%20-%20g%28x%29%5D%20%5C%5C%26%3D%20%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%20%5Cfrac%7B1%7D%7Bx%2Bh%7D%20-%20%5Cfrac%7B1%7D%7Bx%7D%20%5Cright%29%5Cend%7Baligned%7D)
Technically we are done, but some more simplification can be made. We can get a common denominator between 1/(x+h) and 1/x.
![\begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\\&=\frac{1}{h} \left(\frac{x}{x(x+h)} - \frac{x+h}{x(x+h)} \right) \\ &=\frac{1}{h} \left(\frac{x-(x+h)}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{x-x-h}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{-h}{x(x+h)}\right) \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5C%5C%5Cfrac%7Bg%28x%2Bh%29-g%28x%29%7D%7Bh%7D%20%26%3D%20%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%20%5Cfrac%7B1%7D%7Bx%2Bh%7D%20-%20%5Cfrac%7B1%7D%7Bx%7D%20%5Cright%29%5C%5C%26%3D%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%5Cfrac%7Bx%7D%7Bx%28x%2Bh%29%7D%20-%20%5Cfrac%7Bx%2Bh%7D%7Bx%28x%2Bh%29%7D%20%5Cright%29%20%5C%5C%20%26%3D%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%5Cfrac%7Bx-%28x%2Bh%29%7D%7Bx%28x%2Bh%29%7D%5Cright%29%20%5C%5C%20%26%3D%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%5Cfrac%7Bx-x-h%7D%7Bx%28x%2Bh%29%7D%5Cright%29%20%5C%5C%20%26%3D%5Cfrac%7B1%7D%7Bh%7D%20%5Cleft%28%5Cfrac%7B-h%7D%7Bx%28x%2Bh%29%7D%5Cright%29%20%5Cend%7Baligned%7D)
Now we can cancel the h in the numerator and denominator under the assumption that h is not 0.
![= \dfrac{-1}{x(x+h)}, h\ne 0](https://tex.z-dn.net/?f=%3D%20%5Cdfrac%7B-1%7D%7Bx%28x%2Bh%29%7D%2C%20h%5Cne%200)
It took 8 weeks because follow 15 to the dot then go down and you see the answer