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Ksivusya [100]
3 years ago
9

the functuon y=30+5x represents the cost y (in dollars) of having your dog groomed and buying x extra services. does this situat

ion represent a linear function? explain​
Mathematics
1 answer:
Sveta_85 [38]3 years ago
8 0

We want to see if the given function represents a linear function.

We will see that yes, it does.

So we have the function:

y = f(x) = 30 + 5*x

And a general linear function is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.

A graph of our function also can be seen below, where it is evident that it is a line.

If you want to learn more, you can read:

brainly.com/question/20286983

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They randomly survey 50 students about how much money they spend on lunch each day. What is the expected value for a student to
siniylev [52]
2$ for public 3-4$ for private
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3 years ago
What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the righ
Alenkasestr [34]

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line.  -2 is the smallest possible value.  All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1.  The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2.  It will use a closed circle (because x = -2 is part of the solution set).

6 0
3 years ago
At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the
ryzh [129]

Answer:

  T(t) = 3sin((t-5)π/30)

Step-by-step explanation:

5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...

  T(t) = 3sin((t-5)π/30)

7 0
4 years ago
A designer creates a model of a building. The model is 63.5 centimeters long. One inch equals 2.54 centimeters.
Yakvenalex [24]

Answer:

25in

Step-by-step explanation:

if the model is 63. 5 cm, and 2.54 cm is equivalent to 1 in

you can do 63.5 / 2.54 to get 25 in

8 0
3 years ago
Ms. McGuirk wants to know if she built her son's new sandbox with a perfect right angle or not? The shorter sides are 15 feet an
spayn [35]

Answer:

17 feet

Step-by-step explanation:

A right angle has 3 sides: the adjacent, the opposite and the hypotenuse.

The hypotenuse is the largest side of the right angle

The shorter sides are 15 feet and 8 feet which should represent opposite and adjacent sides respectively

Opposite = 15 feet

Adjacent = 8 feet

Hypotenuse = x feet

Using Pythagoras theorem to solve

Hypotenuse ² = opposite ² + adjacent ²

x² = 15² + 8²

x² = 225 + 64

x² = 289

Find the square root of both sides

√x² = √289

x = 17 feet

The 3rd side is 17 feet

8 0
3 years ago
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