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USPshnik [31]
3 years ago
11

Help! I'm confused with the point-slope form!

Mathematics
1 answer:
xxMikexx [17]3 years ago
5 0
The equation for point-slope is y-yi=m(x-xi).

In your given problems, you would use the given coordinate and plug in the x for xi and the y coordinate for yi. The y and x are left alone ( this is how you solve for y=mx+b).

Ex. #1: (2,2) m=-3

Equation: y-yi = m(x-xi)
y-2 ( y coordinate) = -3(x-2)(the x coordinate).
Simplify y-2 = -3x+6 —> y=-3x+8
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City Tours rents bicycles for $10 an hour with a maximum daily fee of $100. Bicycles must be returned the same day they are rent
Vesna [10]

The domain of the function can be represented using set-builder notation as follows: {x | x is a positive integer}. The range of the function can be represented using inequality notation as follows: 0 ≤ y ≤ 100.

<h3>What are the domain and range of the function?</h3>

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Part A:

Hours Cost

1  10

3  30

11  100

20  100

Part B:

The domain of the function that represents the cost of renting a bicycle is the set of all possible values of the number of hours the bicycle is rented for. In this case, the domain is the set of all positive integers, because the bicycles must be returned the same day they are rented.

The range of the function is the set of all possible values of the cost of renting the bicycle. In this case, the range is the set of all non-negative numbers less than or equal to 100, because the maximum daily fee is $100.

Part C:

The domain of the function can be represented using set-builder notation as follows:

{x | x is a positive integer}

The range of the function can be represented using inequality notation as follows:

0 ≤ y ≤ 100

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

3 0
1 year ago
5m -2(m + 2) = -(3m +15)
Nostrana [21]

Answer:

m = -11/6

Step-by-step explanation:

5m -2(m + 2) = -(3m +15)

5m - 2m - 4 = -3m - 15

3m + 3m = -15 + 4

6m = -11

m = -11/6

3 0
3 years ago
Read 2 more answers
Three freshmen, 3 sophomores, 3 juniors, and 3 seniors are participating on the debate team. The team's captain is randomly sele
slega [8]

Answer:

C)  \frac{3}{4}

Step-by-step explanation:

Given:

Number of freshmen = 3

Number of sophomores =3

Number of juniors =3

Number of seniors = 3

The team's captain is randomly selected from any grade level.

To find the the probability that a freshman will not be selected as captain.

Solution:

Total number of members in the team = 3+3+3+3 = 12

Probability that a freshman will be selected as captain will be:

⇒   \frac{Number\ of\ freshmen}{Total\ members}

⇒ \frac{3}{12}

Reducing to simple fraction by dividing numerator and denominator by 3.

⇒ \frac{3\div3}{12\div 3}

⇒ \frac{1}{4}

Thus, probability that a freshman will not be selected as captain will be given as:

⇒ 1-\frac{1}{4}

Taking LCD.

⇒ \frac{4}{4}-\frac{1}{4}

Subtracting the numerators.

⇒ \frac{3}{4}     (Answer)

4 0
3 years ago
Read 2 more answers
A plumber charges $25 to come to a home, and $15 per hour for a repair. Which equation gives the total cost, y, for a repair tha
pogonyaev

Answer:

15x + 25 = y

Step-by-step explanation:

$25 is a fixed cost and will have to be paid if the plumber comes and $15 times the number of hours it takes to do the repair is the variable cost. 'x' in this case is the number of hours. So the equation will be 15x + 25 = y

5 0
2 years ago
What’s the right number to enter for this question ?
Lena [83]

Answer: 2

Step-by-step explanation:

Multiply by 2 each side and the result will give the numbers of the larger triangle.

8 0
3 years ago
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