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natka813 [3]
3 years ago
15

Which situation best represents a linear function?

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

A

Step-by-step explanation:

y=3x+55

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3 L of water of density 1 gram per centimetre cubed is added to 12litres of alcohol of density of 0.8 gram per centimetre cubed,
Natasha2012 [34]

Answer:

84%

Step-by-step explanation:

each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.

with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's

if you add another 3 liters, THEN it is 85%

add 12 liters in total and the final answer 84%

4 0
2 years ago
The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
andre [41]

This equation is written in slope intercept form, y=mx+b, with m being the slope and b being the y-intercept.

The slope of the line is 1.5 and the y-intercept is -2. The answer is A.

I hope this helps ;)

4 0
2 years ago
Read 2 more answers
What is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? (5 points) y = 4x − 2 y = 2x − 4 y = −3(
DIA [1.3K]

For this case we have that by definition, the point-slope equation of a line is given by:

y-y_ {0} = m (x-x_ {0})

We have the following points:

(x_ {1}, y_ {1}) :( 2,6)\\(x_ {2}, y_ {2}) :( 4,0)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-6} {4-2} = \frac {-6} {2} = -3

We chose a point:

(x_ {0}, y_ {0}) :( 4,0)

Substituting in the equation we have:

y-0 = -3 (x-4)\\y = -3 (x-4)

Finally, the equation is: y = -3 (x-4)

Answer:

OPTION C

6 0
3 years ago
Read 2 more answers
Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
2 years ago
Calculate the mass of a liquid with a density of .7892 g/mL and a volume of 121.0 mL.
nataly862011 [7]

Answer:

95.49 g

Step-by-step explanation:

D = m/v

Looking for mass so isolate m to form equation format

D × V = m

Plug in numbers

.7892g/mL × 121.0 mL = 95.4932 g

Only g and not g/mL because the mL cancels each other out. It's easier to see if you rewrite it on paper.

Round to sig figs

Both original numbers hold 4 sig figs

95.49 g

5 0
3 years ago
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