Answer:
y = 4x - 17
Step-by-step explanation:
we can use the equation y = mx + b
where m is the slope.
now we want to find the value of b.
so
7 = 24 + b
b= -17
so the answer is
y = 4x -17
Answer: Choice A) 1990 to 1991
=============================================
Explanation:
Let's go through the answer choices one by one.
For choice A, we go from the year 1990 to 1991 which is a change of 1 year. The wage goes from 3.80 to 4.25 over this timespan, which is an increase of 4.25-3.80 = 0.45 dollars. Divide the change in wage (0.45 dollars) over the change in change in time (1 year) to get 0.45/1 = 0.45; this indicates that the wage increased by 0.45 dollars per year over the timespan 1990 to 1991
Now onto choice B. We have a wage increase of 3.80-3.35 = 0.45 over a course of 9 years (since 1990-1981 = 9) so 0.45/9 = 0.05 is the rate of wage growth, meaning that the wage bumps up by a nickel each year. So far choice A is the winner.
Moving onto choice C, we have a wage increase of 0.25 dollars (3.35-3.10 = 0.25) over an 1 year period (1981-1980 = 1) so the rate of change for this slice of time is 0.25/1 = 0.25 dollars per year. Choice A is still the winner.
Finally, for choice D, this is over a year as well (1980-1979 = 1) and the wage increases by 0.20 dollars (3.10-2.90 = 0.20) leading to a rate of change to be 0.20/1 = 0.20
So choice A has the largest rate of change which is the same as saying it has the largest rate of wage increase. This shows why choice A is the answer.
It's basically 5,000*2=10,000
and 10,000/2=5,000. your answer would be either they multiplied 5,000 by 2 and 10,000 divided by 2, they increased the sales by 5,000
Here is my process for solving this.
First I drew arrows that indicated I was moving the whole triangle 5 units to the left.
*Look at first attachment*
Then I drew another triangle using those new points. (The new triangle is in pink)
*Look at second attachment*
Then I drew arrows that moved this new triangle 4 units up. (The new arrows are in pink)
*Look at third attachment*
Then I drew the new triangle in blue using the new points.
*Look at fourth attachment*
Then I mirrored / reflected the triangle over the x axis (the horizontal line) In green.
*Look at fifth attachment*
The fifth attachment in green is the final product! Hope that helps.
Answer:
![x=-406](https://tex.z-dn.net/?f=x%3D-406)
Step-by-step explanation:
![x^2-50x+456=0](https://tex.z-dn.net/?f=x%5E2-50x%2B456%3D0)
![x^2-50x=-456](https://tex.z-dn.net/?f=x%5E2-50x%3D-456)
This is because we subtract 456 from each side.
![x-50=-456](https://tex.z-dn.net/?f=x-50%3D-456)
We then divide the whole equation by <em>x</em> .
![x=-406](https://tex.z-dn.net/?f=x%3D-406)
Adding 50 to both sides gives us <em>x</em> by itself, hope this helps :D