Answer:
<em>y = - 0.5 | x - 5 | + 2</em><em> </em>
Step-by-step explanation:
g(x) = |x|
step - shifts right 5 units: g(x + 5) = | x <u><em>- 5</em></u> |
step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | <u><em>+ 2</em></u>
step - reflected: - g(x + 5) + 2 =<em> - </em>| x - 5 | + 2
step - stretched by 0.5: <em>y = - </em><u><em>0.5</em></u><em> | x - 5 | + 2</em>
<em>y = - 0.5 | x - 5 | + 2</em>
Answer:
Step-by-step explanation:
Start by factoring out a 5:
We need to find two integers that have a product of 12, and a sum of -7:
(-3)(-4)=12
-3-4=-7
We can split -7x into -3x and -4x
Factor each half separately:
![5[x(x-3)-4(x-3)]](https://tex.z-dn.net/?f=5%5Bx%28x-3%29-4%28x-3%29%5D)
Since x and -4 are both being multiplied by x-3, we can combine them:
Answer:
(a) 0.107 million per year
(b) 0.114 million per year
Step-by-step explanation:
(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, 
and in 2014, 
. Mathematically,
(b) The instantaneous rate of change is determined by finding the differential derivative at that year.
The result of differentiating functions of the firm 
(where 
is a constant) is 
. Let's use in this in finding the derivative of 
.
In the year 2014, .
Given the length of the pencil, the length of the marker is 130.8 millimeters.
<h3>What are percentages?</h3>
Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
<h3>How long is the marker?</h3>
Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
To learn more about percentages, please check: brainly.com/question/25764815
Answer:
1. 3570
2.-8y+32
3. 8y-(2y^2)(1+y)
4.x-y
5. 4^2−3−^2
Step-by-step explanation:
The distributive property means that you can multiply each number in a set of parentheses by the number outside the parentheses or by the numbers in another set of parentheses instead of doing the multiplication as a whole
