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Gnesinka [82]
3 years ago
7

2. Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help dete

rmine which option to take.
(a) Determine the iterative rule for each sequence. Show your work.
(b) Your friend trusts your tables in Problem 1, but wonders if you wrote the iterative rules correctly. Show two calculations to convince your friend that both your rules work.

3. Consider the iterative rules you wrote in Problem 2.
(a) Explain why the rules are functions.
(b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment?
(c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use?
Mathematics
1 answer:
ycow [4]3 years ago
3 0

Answer:a,c

Step-by-step explanation:

(b) Your friend says that because the rules are functions, they can be graphed and must have y-i

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Sandra normally takes 2 hours to drive from her house to her grandparents' house driving her usual speed. However, on one partic
Rudiy27

Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

s = \frac{d}{t}

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

s = \frac{d}{2}

d = 2s

However, on one particular trip, after 40% of the drive, she had to reduce her speed by 30 miles per hour, driving at this slower speed for the rest of the trip. This particular trip took her 228 minutes.

228 minutes is 3.8 hours. So

0.4s + 0.6(s - 30) = \frac{d}{3.8}

So

3.8(0.4s + 0.6s - 18) = d

3.8s - 68.4 = 2s

1.8s = 68.4

s = 38

Her usual driving speed is 38 miles per hour.

3 0
3 years ago
Rewrite in simplest terms: 3h - 2(-0.1h - 0.8)<br>please help
levacccp [35]

Answer:

3.2h+1.6

Step-by-step explanation:

3h-2(-0.1h-0.8)

3h+0.2h+1.6

3.2h+1.6

8 0
3 years ago
Hector has 3/4 hour to spend his homework. He wants to spend 1/3 of this time on math homework, 10 minutes of his time on readin
DENIUS [597]

Answer:

20 minutes

Step-by-step explanation:

Remember that

1\ h=60\ mi

we know that

Hector has 3/4 hour to spend his homework

Convert to minutes

\frac{3}{4}(60)=45\ min

so

1) He wants to spend 1/3 of this time on math homework

To find out the time on math homework, multiply 45 minutes by 1/3

45(\frac{1}{3})=15\ min

2) He wants to spend 10 minutes of his time on reading homework

3) He wants to spend the remaining time on science homework

The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes

Let

x ----> the time spend on his science homework

15+10+x=45

Solve for x

25+x=45\\x=45-25\\x=20\ min

3 0
3 years ago
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the
Alex

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

                 = 2\pi r x \frac{165}{360}

                 = \frac{2*\pi *80*165  }{360}

                 = 230.4 feet to nearest tenth

7 0
2 years ago
Above is a graph of a proportional relationship. Explain the significance of the following points on this line:
KonstantinChe [14]

Answer:

1. at 1 hour, 3 miles is the distance.

2. at 0 hours, 0 miles is the distance.

3. at 3 hours, 9 miles is the distance.

5 0
3 years ago
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