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sergey [27]
3 years ago
15

Trinity sold candles for $7 each after she paid a $10 setup fee. The equation f(x)=7x-10 shows the profit Trinity will make from

selling candles where x is the number of candles and f(x) is the profit she will make. If Trinity has 30 candles to sell, find the domain and range of the function.
Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Domain: 200

Range: 200

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What is the equation in slope-intercept form of the line that passes through the points (−26, −11) and (39, 34)?
Scrat [10]

The equation in slope-intercept form of the line passing through the given points is: C. y = \frac{9}{13}x + 7

<u>Given the following points:</u>

  • Points on the x-axis = (-26, 39)
  • Points on the y-axis = (-11, 34)

To find the equation in slope-intercept form of the line passing through the given points:

Mathematically, the equation of slope is calculated by using this:

Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}

Substituting the given points, we have:

Slope. \;m  = \frac{34 - [-11]}{39 - (-26)}\\\\Slope. \;m  = \frac{34\; + \;11}{39 \;+ \; 26}\\\\Slope. \;m  = \frac{45}{65}\\\\Slope. \;m  = \frac{9}{13}

The standard form of an equation of line is given by the formula;

y = mx + b

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

We would find the intercept:

-11 = \frac{9}{13}(-26) + b\\\\ -11 = -18 + b\\\\b = -11 + 18

Intercept, b = 7

The equation in slope-intercept form of the line is:

y = \frac{9}{13}x + 7

Read more: brainly.com/question/18123312

3 0
3 years ago
Easy points<br> Solve 3(4+2)-6 to the second power<br> Using order of operations
Mazyrski [523]

Answer:

12

Step-by-step explanation:

3(4 + 2) - 6

3 * 6 - 6

18 - 6

= 12

4 0
3 years ago
C) Work out 3/4 × 5 (Give your answer as the simplest mixed fraction).​
My name is Ann [436]

Answer: 3 ¾

------------------

3 0
4 years ago
Read 2 more answers
What strategy would you use to find a vertex on a graph, on a table or of an equation? How are these strategies different?
Gemiola [76]

Hey there! :D

To find a vertex on a graph, you would need to look at where the line stops. This place where there is a distinct curve or stopping point and at least one line is going infinity in one direction is the vertex. The graph is much easier than any other method, because it is visual. If I was looking at the vertex on a table, I would see (especially on a quadratic) if there was a pattern to the points. Most points are opposite of each other, so it can be helpful to look at a pattern. In an equation, a parent function can help to see where the vertex is, as well (for quadratics) finding the line of symmetry with the equation to find the vertex. (-b/2a) The strategies are very different, some are easier than others. For example, I would much rather look at a graph for a vertex then do an equation to find it. Some involve looking, seeing a pattern, and others solving. They are all very different but can all be extremely helpful!

I hope this helps!

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4 0
3 years ago
Score: 0 of 1 pt
jonny [76]

Answer:

See attachment for graph

Step-by-step explanation:

Given

y = x^2 - 3

Required

The graph of the equation

First, we determine the range of y

x = -3

y = x^2 - 3 \to y = (-3)^2 - 3 = 6

(-3,6)

x = -2

y = (-2)^2 - 3 = 1

(-2,1)

x = -1

y = (-1)^2 - 3 = -2

(-1,-2)

x=0

y = 0^2 - 3 = -3

(0,-3)

x = 1

y= 1^2 - 3 = -2

(1,-2)

x = 2

y =2^2 - 3 = 1

(2,1)

x = 3

y = 3^2 - 3 = 6

(3,6)

<em>See attachment for graph</em>

7 0
3 years ago
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