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Luda [366]
3 years ago
11

Need help finding the domain and range

Mathematics
1 answer:
pogonyaev3 years ago
3 0

Here are a few things you'll need to know for this question:

  • Domain: <u>The list of x-values that are possible on a line.</u>
  • Range: <u>The list of y-values that are possible on a line.</u>
  • Interval Notation: <u>Shows the domain/range using the endpoints</u>. Brackets mean that the endpoint is included, parentheses mean the endpoint is excluded. Ex: (2,10]. 2 is excluded, 10 is included.
  • Closed Circles: <u>The endpoint is included.</u>
  • Open Circles: <u>The endpoint is excluded.</u>

So firstly, let's look at the domain. We see that there is a closed circle at x = -2 and an open circle at x = 5. Using what we know, <u>the interval notation of the domain is [-2,5).</u>

Next, let's look at the range. We see that there is a closed circle at y = -5 and an open circle at y = 2. Using what we know, <u>the interval notation of the range is [-5,2).</u>

You might be interested in
D=5.32 to the nearest hundredth
babymother [125]
<span>5.32 to the nearest hundredth
= 5.32

hope that helps</span>
3 0
3 years ago
Find an equation of the line that goes through the points (10,34) and (-1,10)
kotykmax [81]

Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

<em>The </em><em>equation</em><em> </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>first </em><em>we </em><em>can </em><em>find </em><em>slope </em><em>(</em><em>m</em><em>) </em>

<em>=</em><em> </em><em>(</em><em>y2 </em><em>-</em><em> </em><em>y</em><em>1</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2</em><em> </em><em>-</em><em> </em><em>x1</em><em>)</em>

<em>=</em><em> </em><em>3</em><em>4</em><em>-</em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em><em>+</em><em>1</em>

<em> </em><em>=</em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em>

<em>Now </em><em>the </em><em>equation </em><em>is</em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em>1</em><em>1</em><em>)</em>

<em>11 </em><em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>

<em>11y </em><em>-</em><em> </em><em>1</em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>24x </em><em>+</em><em> </em><em>2</em><em>6</em><em>4</em>

<em>24x </em><em>+</em><em> </em><em>2</em><em>6</em><em>4</em><em> </em><em>+</em><em>110-11y </em><em>=</em><em>0</em>

<em>24x </em><em>-</em><em> </em><em>11y </em><em>+</em><em> </em><em>3</em><em>7</em><em>4</em><em> </em><em>=</em><em> </em><em>0</em>

<em>which </em><em>is </em><em>the </em><em>required </em><em>equation </em>

3 0
3 years ago
Anyone know how to do this? If so plz help
bekas [8.4K]

NOTES:

Use the equation y = mx + b where m is the unit rate and b is the one-time flat fee

1. Answer:

\begin {array}{c||c|c|c|c}x&0&1&2&3\\ y&70.00&70.20&70.40&70.60\\\end{array}

<u>Step-by-step explanation:</u>

coffee maker costs $70 - this is a one-time flat fee

it costs $0.20 per cup of coffee - this is the unit rate

y = 0.20x + 70

y = 0.20(0) + 70   →   y = 0.00 + 70   →   y = 70.00

y = 0.20(1) + 70   →   y = 0.20 + 70    →   y = 70.20

y = 0.20(2) + 70   →   y = 0.40 + 70   →   y = 70.40

y = 0.20(3) + 70   →   y = 0.60 + 70   →   y = 70.40

*******************************************************************************

2. Answer:

\begin {array}{c||c|c|c|c}x&1&2&3&4\\ y&4.50&6.00&7.50&9.00\\\end{array}

<u>Step-by-step explanation:</u>

shoes costs $3.00 - this is a one-time flat fee

it costs $1.50 per game of bowling - this is the unit rate

y = 1.50x + 3.00

y = 1.50(1) + 3.00  →    y = 1.50 + 3.00   →   y = 4.50

y = 1.50(2) + 3.00  →   y = 3.00 + 3.00   →   y = 6.00

y = 1.50(3) + 3.00  →   y = 4.50 + 3.00   →   y = 7.50

y = 1.50(4) + 3.00  →   y = 6.00 + 3.00   →   y = 9.00

*******************************************************************************

3. Answer: Negative

<u>Step-by-step explanation:</u>

As the x-values increase, the y-values decrease.  Opposite directions results in a negative slope.

*******************************************************************************

4. Answer: Gym A → y = 20x + 50    Gym B → y = 25x + 30

<u>Step-by-step explanation:</u>

Use the slope formula: m = \dfrac{y_2-y_1}{x_2-x_1}.  Then choose ONE of the points and input the point (x₁, y₁) and slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y.

Gym A: (x₁, y₁) = (1, 70) and (x₂, y₂) = (2, 90)

m=\dfrac{90-70}{2-1} = \dfrac{20}{1} = 20

y - 70 = 20(x - 1)

y - 70 = 20x - 20

y        = 20x + 50

Gym B: (x₁, y₁) = (1, 55) and (x₂, y₂) = (2, 80)

m=\dfrac{80-55}{2-1} = \dfrac{25}{1} = 25

y - 55 = 25(x - 1)

y - 55 = 25x - 25

y        = 25x + 30


5 0
3 years ago
Can someone please help me with the second question….will give brainliest :(
Andrej [43]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
A distribution has the five-number summary shown below. What is the range of this distribution? 24, 36, 42, 57, 65
inn [45]
Hello!

To find the range of the distribution, we must order the data from least to greatest (it has already been done) and then subtract the smallest value from the largest value in the set.

In this set, the smallest value is 24, and the largest value is 65. Subtract:

65 - 24 = 41

A N S W E R:

The range of the distribution below is A. 41.
Have a wonderful day!
5 0
3 years ago
Read 2 more answers
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