Karen wants to buy a $22.50 jacket that is marked 20% off.

select from the drop-down menu to correctly complete the sentence.
an estimate for the discount is: 0.02(20), 0.2(20), 2(20), 20(20) plz show your work

The estimate for the discount(in $) is 0.2(20) .

Step-by-step explanation:

Given : Cost of jacket = $22.50

Discount rate = 20%

In decimal , it will be  0.20  [when we convert a percent into decimal  we divide it by 100]

Formula : Discount price = (Discount rate) x (Cost price)

For given case ,  Discount price = (Discount rate) x (Cost price of jacket)

=(0.20) x ($22.50)

Here , 22.50≈ 20  [round off to nearest tens]

Then, (0.20) x ($22.50)≈ $0.2(20)

Hence, the estimate for the discount(in $) is 0.2(20).

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.