Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.

Answers

Answer 1
Answer:

Answer:

range is -3, 5.9 , 8.3

Step-by-step explanation:

{(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

We are given with set of ordered pairs (x,y)

In each ordered pair, x is the domain and y is the range

for domain , take all the x  values (first number) from the ordered pairs

for range, take all the y value (second number) from the ordered pairs

y values of the ordered pairs are -3, 5.9, -3, 8.3

So range is -3, 5.9 , 8.3

Answer 2
Answer:

Answer:

{(3.2, –3)}

Step-by-step explanation:

The domain is the set of all the values of  

x .The range is the set of all the values of  y .

Domain: { 3.2 , 7.6 , 1.4 , − 9.1 }

Range: { − 3 , 5.9 , 8.3 }


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During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour.Part A) Write a system of inequalities describing the possible numbers of hours “t” and distance “d” you may have to drive.


Part B) Is it possible for you to have driven 160 miles?


Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!

Thank you!

Answers

Final answer:

In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.

Explanation:

Part A:

Let t represent the number of hours you drive and d represent the distance you drive.

The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.

The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.

Part B:

No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:

d ≤ 55t

d ≤ 55(3)

d ≤ 165

Since 160 is greater than 165, it is not within the range of possible distances you can drive.

Learn more about System of Inequalities here:

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Final answer:

The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.

Explanation:

Part A:

To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.

The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.

Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.

Combining these two inequalities, we have: t ≤ 3 and d = t × 55.

Part B:

To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.

Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.

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The cost C, in dollars, for delivered pizza depends on the number p of pizzas ordered. The situation is represented by the function rule C equals 5 plus 9 p. Would the graph be continuous or discrete? Explain your answer.

Answers

Answer: discrete

Step-by-step explanation:

The graph would be discrete, because you can only order a whole number of pizzas. This means you cannot have 0.4 of a pizza or 3/5 of a pizza. Therefore, p can only be whole numbers, so you cannot draw a line through the points, since prices for non-whole pizzas are not possible.  

Final answer:

The graph representing the cost of delivered pizzas depending on the number ordered is discrete because you can only order a whole number of pizzas, therefore the graph will show distinct points for each whole number of pizzas.

Explanation:

The graph representing the cost C, in dollars, for delivered pizza depending on the number p of pizzas ordered would be discrete. This is because you can only order a whole number of pizzas, not a fraction of a pizza. In this case, the number of pizzas p is a discrete variable, as is the cost C. A continuous graph has points that are connected, showing all possible values, while a discrete graph consists of isolated points representing specific values. In our pizza scenario, the graph would indicate specific costs for 1 pizza, 2 pizzas, 3 pizzas, and so on. Hence, the graph will be a series of distinct points, making it a discrete graph.

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On average, Jenny does five loads of washing per week. She buys a 1.2k box of Kapow! laundry powder. and can only use 60g a loadHow many weeks should the box of powder last for Jenny?

Answers

Given:
5 loads of washing per week
1.2kg box of laundry detergent 
60 g per load.

convert 1.2 kg to grams.
1 kg = 1000 grams

1.2 kg * 1,000g/1kg = 1,200 g
1,200 g / 60 g per load = 20 loads
20 loads / 5 loads per week = 4 weeks

It would take 4 weeks for a 1.2 kg box of Kapow! laundry powder to last.

A motor cyclist travels 800 metres in 40 seconds. Calculate the speed in kilometre per hour.

Answers

Answer: 72

Step-by-step explanation:3600 (The number of seconds in an hour)/40 is equal to the number you have to multiply by 800 to get the meters per hour.3600/40=90. 90 x 800 = 72,000. Divide this number by 1000 and you find the answer is 72.Thank me later.I am out.

-8/9 divided by -8/9 in fraction form

Answers

Answer:

1

Step-by-step explanation:

If you ever divide a number by itself, it will be 1.

Answer:

I believe its 1

Step-by-step explanation:

"Yonder sky has wept tears of compassion" is an example of A. assonance.
B. alliteration.
C. consonance.
D. personification.

Answers

The correct answer is D. Personification.

That is because the sky cannot really weep tears. It is given the human ability of crying so as to present the rain falling as something more poetic.

Answer:

D. personification *just took the penn foster test*