i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier
y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis
y + 2 = 3x + 12. subtract 2 from both sides
y = 3x +10
now to fill in the chart simply plug in the value of x to see what value of y it produces
y = 3(-2) +10
y = -6+10
y = 4
(-2,4)
y = 3(0) + 10
y = 0 + 10
y = 10
(0,10)
y = 3(2)+10
y = 6 + 10
y = 16
(2,16)
y = 3(4) + 10
y = 12 + 10
y = 22
(4,22)
Hi there!
200(20)^x > 500x + 400
Let's find the critical points of the inequality
200(20^x) = 500x + 400
Now we can divide both sides by 200
(200(20^x))/200 = (500x + 400)/200
20x^x = 5/2 x + 2
There are no critical points.
Thus,
The answer is: No solution
As always, it is my pleasure to help students like you.
The amount he charged up front for his work
To be able to give the answer to this item, we are to represent first with any variables the amount he earns each weekend for mowing the same field. Also, we represent the number of weeks he had worked by the variable y. The total amount of money he will have after working for y weeks is,
T = xy
Since, we are not given with any other information of the other expenses that have to be paid then we can say that if T is already equal to the price of the new lawnmower then, Tom will be able to purchase it and begin his lawn mowing business in due time.
