The profit p in dollars of selling x widgets and y gadgets is given by the function p(x, y)=7x+8y. which corner point of the shaded region will maximize the profit?

Step-by-step explanation:

The given function that models the profit is

Now, we have three coordinates that can be the maximum profit, we need to evaluate them.

For (10,30)

With 10 widgets and 30 gadgets, profits are $310.

For (15,25)

For 15 widgets and 25 gadgets, profits are $305.

For (20,15)

For 20 widgets and 16 gadgets, profits are $260.

Therefore, the pair that maximize profits is (10,30).

So, the right answer is D.

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

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12