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3 years ago

The table shows data from a travel agency, representing the number of guests on a trip (x) and the estimated dollar

Mathematics

1 answer:

Arlecino [84]3 years ago

6 0

The slope of the best fit for the 3 given points is 500, so the correct option is b.

<h3>How to find the slope?</h3>

Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

$s = \frac{y_2 - y_1}{x_2 - x_1}$

With the 3 given points we can find 3 slopes, and then we will need to find the average of these 3.

The 3 points are: (3, 2,750), (6, 4,200), and (9,5,750)

Then the 3 slopes are:

$s_1 = \frac{4,200 - 2,750}{6 - 3} = 483.3\\\\s_2 = \frac{5,750 - 2,750}{9 - 3} = 500\\\\s_3 = \frac{5,750 - 4,200}{9 - 6} = 516.7$

The average slope is:

$S = (483.3 + 500 + 516.7)/3 = 500$

So the correct option is b.

If you want to learn more about slopes:

brainly.com/question/1884491

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The supply equation of a certain commodity is given by the equation: p = 20 + 3 where p is the price (in dollars) and s is the q

andrezito [222]

1.50 is charging but if p= 20 + 3 and that 23 then p is 23 divided by 1.50 and that going to be your answer

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3 years ago

May somebody please help me with this question. It would mean a lot! Thank you

Alekssandra [29.7K]

C. It would need to be more than 30 hundredth in order to be greater than 4.3

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4 years ago

Select yes or no for each literal equation.

ch4aika [34]

Answer:

No, Yes, Yes

Step-by-step explanation:

$5x + 2y = 3$

2y = 3 - 5x

y = (3-5x) / 2

FALSE

$\frac{w + 8}{2} = p$

2P = w + 8

w = 2P - 8

TRUE

$ax + by = c$

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TRUE

6 0

3 years ago

What is the to this question?-7+(6.5):-5 +22

Tresset [83]

What I think is the answer to your question is -0.5:17, i guess. I'm not very sure if you wanted the answer this way or another way, so I just did it my way.

3 0

3 years ago

Read 2 more answers

Erica plotted the three towns closest to her house on a graph with town AA at (9, 12), town BB at (9, 7) and town CC at (1, 1).

Sliva [168]

To compute the distance between the points, we can apply the distance formula as shown below.

$d = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} }$

In which x₁ and x₂ are the x-coordinates and y₁ and y₂ are the y-coordinates of the two points. Thus, applying this with the segments AABB, AACC, and BBCC, we have

$\overline{AABB} = \sqrt{(9-9)^{2} + (12-7)^{2}} = 5$
$\overline{AACC} = \sqrt{(9-1)^{2} + (12-1)^{2}} = \sqrt{185}$
$\overline{BBCC} = \sqrt{(9-1)^{2} + (7-1)^{2}} = 10$

Now that we have the lengths of all the sides of ΔAABBCC, we can find the missing angles using the Law of Cosines.

Generally, we have

$c^{2} = a^{2} + b^{2} - 2abcosC$

or

$C = cos^{-1} (\frac{a^{2} + b^{2} - c^{2}}{2ab})$

Hence, we have

$\angle AA = cos^{-1} (\frac{(\sqrt{185})^{2} + 5^{2} - 10^{2}}{2(5)(\sqrt185)})$
$\angle BB= cos^{-1} (\frac{5^{2} + 10^{2} - (\sqrt{185})^{2}}{2(5)(10)})$
$\angle CC= cos^{-1} (\frac{10^{2} + (\sqrt{185})^{2} - 5^{2}}{2(5)(\sqrt{185})})$

Simplifying this, we have

$\angle AA = 36.03^{0}$
$\angle BB = 126.87^{0}$
$\angle CC = 17.10^{0}$

Thus, from this, we can arrange the angles from smallest to largest: ∠CC, ∠AA, and ∠BB.

Answer: ∠CC, ∠AA, and ∠BB

3 0

3 years ago