Express (2i - 5) / (i + 1) in its simplest form in terms of i.

Multiply the numerator and denominator by the conjugate of i + 1 to get a difference of squares in the denominator:

(2i - 5) / (i + 1) × (-i + 1) / (-i + 1)

((2i - 5) (-i + 1)) / (-i ² - i + i + 1²)

((2i - 5) (-i + 1)) / (-(-1) + 1)

((2i - 5) (-i + 1)) / 2

Expand the numerator:

(2i - 5) (-i + 1) = -2i ² + 5i + 2i - 5 = -3 + 7i

Then we end up with

(2i - 5) / (i + 1) = (-3 + 7i )/2

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