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mezya [45]
2 years ago
9

The function c=15+9h represents the amount c ( in dollars) it will cost you for a one time lawn care service of h hours. Identif

y the independent and dependent variables. Is the domain discrete or continuous? Explain
Mathematics
1 answer:
Mandarinka [93]2 years ago
3 0

Answer:

see the procedure

Step-by-step explanation:

we know that

A <u><em>discrete domain</em></u> is a set of input values that consists of only certain numbers  in an interval

A <u><em>continuous domain</em></u> is a set of input values that consists of all numbers in

an interval

In this problem we have

c=15+9h

where

c is the amount in dollars

h is the number of hours

The total cost c depends of the number of hours h

so

c is  the dependent variable, and h is the independent variable

You cannot buy part of an hour, only a certain number of hours. Because h represents  the number of hours, it must be a whole number.

So, the domain is 0, 1, 2, 3, 4, 5, ... it is discrete

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On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar
KatRina [158]

Answer:

TRUE OPTIONS ARE:

<em>"The temperature increased until 4:00 p.m. "</em>

<em>"The temperature decreased after 6:00 p.m. "</em>

<em>"The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m."</em>

Step-by-step explanation:

<em>graph attached and complete question below:</em>

<em>Which statements are true about the temperatures Luis  recorded on the graph? Check all that apply. </em>

  • <em>The temperature increased until 4:00 p.m. </em>
  • <em>The temperature was not recorded between 4:00 p.m.  and 6:00 p.m. </em>
  • <em>The temperature decreased after 6:00 p.m. </em>
  • <em>The temperature increased and then decreased before  holding constant. </em>
  • <em>The temperature increased more quickly between 12:00 p.m. and 4:00 p.m. than before 12:00 p.m.</em>

<em />

Until 1600 hours, the graph increases, so we can say temperature increased until 4.00 pm (FIRST OPTION TRUE).

From 1600 to 1800 hours (4 - 6pm), the temperature stayed same (horizontal line). This doesn't mean the temperature wasn't recorded. (2nd OPTION FALSE).

After 1800 hours (6pm), the line goes downward, so temperature decreased after 6 pm. (3rd OPTION TRUE).

If you look at the temperature graph, we can see temperature increased, then increased more, then constant, then decreased. Thus the 4th option isnt true. (4th OPTION FALSE).

Before 12, the increase isn't as sharp as after 12. After 12 temperature increase has more slope, so this increase is more. (5th OPTION TRUE).

7 0
2 years ago
Read 2 more answers
Write 55,426 using the number names
Aleks04 [339]

Answer:

fifty five thousand four hundred and twenty six.

Step-by-step explanation:

4 0
2 years ago
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The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.
dybincka [34]

Not entirely sure but it may be 35 mpg.

4 0
2 years ago
Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a
Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0
2 years ago
A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of
DedPeter [7]

Answer:

g = 15 - m/28

Step-by-step explanation:

let g = gasoline

let m = miles

  • g = 15 - m/28

since you can drive 420 miles with 15 gallons of gas, you can drive 28 miles with one gallon (= 420/15 = 28)

e.g.

you drive 100 miles, then you will have:

g = 15 - 100/28 = 15 - 3.57 = 11.43 gallons of gas left

you drive 240 miles:

g = 15 - 240/28 = 6.43 gallons

4 0
2 years ago
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