The function below shows the number of car owners f(t), in thousands, in a city in different years t:f(t) = 0.25t2 − 0.5t + 3.5

The average rate of change of f(t) from t = 2 to t = 6 is ______ thousand owners per year

Answers

Answer 1
Answer: f(2) = 0.25*(2^2) - 0.5*(2) +3.5 = 3.5
f(6) = 0.25*(6^2) -.5*(6) +3.5 = 9-3+3.5 = 9.5
average rate of change = [f(6) - f(2)]/ (6-2)
                                       = (9.5-3.5)/4 = 6/4 = 1.5
Answer 2
Answer:

Answer:

it would be 1.5

Step-by-step explanation:


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Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 & 3/4 hours cleaning, 2 & 1/3 hours doing
paperwork, and 1 & 5/12 hours serving customers. What were
Doug’s earnings?

Answers

First, add all of the working hours.
1 (3)/(4) + 2 (1)/(3) + 1 (5)/(12)

Since the denominators are different, make them all the same.
1 (9)/(12) + 2 (4)/(12) + 1 (5)/(12)

Add everything together.
4 (1)/(12) + 1 (5)/(12) = 5 (6)/(12)

Then, simplify.
5 (1)/(2) or 5.5

Multiply the time by the salary.
5.5*10.5= Doug earned $57.75

The extended warranty on a mini-fridge costs $41.25. If the warranty is 12.5% of the normal price, what is the cost of the mini-fridge itself, to the nearest dollar? a. $225 b. $516 c. $330 d. $303

Answers

First 

41.25x12.5%=5.15625

5.15625 to the nearest $ is $516

the answer is B

I just took the test and the answer ain't B It's C.$330

A coin is tossed 40 times. Heads appeared 18 times. Find the experimental probability of landing on heads.

Answers

The experimental probability of landing on heads will be 9/20 or 0.45.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A coin is tossed 40 times.

Heads appeared 18 times.

Total events = 40

Favorable events = 18

Then the experimental probability of landing on heads will be

P = 18 / 40

P = 9 / 20

P = 0.45

More about the probability link is given below.

brainly.com/question/795909

#SPJ2

18 out of 40

(18)/(40) = (9)/(20) = 0.45 = 45 \%

Write in vertex form:

y = x2 - 8x + 19

Answers

y=x^2-8x+19\ny=x^2-8x+16+3\ny=(x-4)^2+3

Find the simple interest paid

$4500, 9%, 3.5 years ​

Answers

Step-by-step explanation:

Principle (P) =$4500

Rate(R) =9%

Time(T)=3.5yrs

We know,

SI=P×T×R/100

=4500×3.5×9/100

=$1417.5

Need help with middle two questions... I’ll give points

Answers

Answer:

ok sorry i could not put this into a formula im have to go but i will show you a really easy way.

Step-by-step explanation:

for number 1 i got (7,-1)

This is because there is a slope of 1/1 between these two points. so i plotted the two points on the graph. The distance between the two points is 4. so i followed the slope 4 times and thats what i got.

The correct way for doing number 1 is using the distance formula i believe but im running out of time

for the second one i got  (3, -1/2)

we do this by using the midpoint formula.

The first picture is for number one and the second for number 2

if you have any questions feel free to ask in the comments