49 points! show your work/ explain

7x³y³ + 4x²y² + xy² + 6x - 2

Step-by-step explanation:

Polynomial heaven...

When dealing with these type of questions, it is very important to keep track of your like-terms, which are simply just terms that share the same variables attached to different coefficients. Instead of doing it all in one, let's group the like-terms, and then solve for each one, then put them altogether.

6x³y³ and -x³y³ are like-terms. Because we are subtracting those two, we are actually going to add them due to integer rules, and the final result will be 7x³y³.

5x²y² and x²y² are like-terms. Because we are subtracting those two, we will subtract them due to integer rules, and the final result will be 4x²y².

-x²y and -x²y are like-terms. Because we are subtracting those two, we are actually going to add them due to integer rules, and the final result will be "1" as they cancel.

xy² is all alone and has no other like-terms, so we will leave it just like that.

3x and -3x are like-terms. Because we are subtracting those two, we will actually add them due to integer rules, and the final result will be 6x.

2 and 4 are like-terms. Because we are subtracting those two, we will subtract them due to integer rules, and the final result will be -2.

Now we can put it altogether!

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold