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Maurinko [17]
2 years ago
13

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]2 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

#SPJ1

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If I’m not mistaken, 16
3 0
3 years ago
Given f(x) = x2 + 5 and g(x) = x^2 , and h(x) = -2x <br>what is h(g(f(x)))=
jeyben [28]

Answer:

Step-by-step explanation:

f(x) = x^2 + 5

g(x^2 + 5) = (x^2 + 5)^2= x^4 + 5x^2 + 5x^2 + 25 = x^4 + 10x^2 + 25

h(x^4 + 10x^2 + 25)= -2(x^4 + 10x^2 + 25)

                                  -2x^4 - 20x^2 - 50

5 0
3 years ago
Help quick please!!!
jenyasd209 [6]

Answer:

168

Step-by-step explanation:

you get 3.5% of 800 and then multiply it by 6.

4 0
3 years ago
PLSS HELP ILL GIVE YOU BRAINLIEST!!
uysha [10]

Answer:

Step-by-step explanation:

Q1)

Use Phythogoras theorem:

(AC)^2=(BC)^2+(AB)^2\\BC^2=AC^2-AB^2\\BC^2=6^2-4^2\\BC^2=36-16\\BC^2=20\\\\Apply\ square\ on\ both\ sides\\\\\sqrt{BC^2}=\sqrt{20}  \\BC=\sqrt{20} \\BC=\sqrt{10(2)} \\BC=\sqrt{5(2)(2)} \\BC=2\sqrt{5}

Q2)

Apply phythogoras theorem:

CD^2=CE^2+DE^2\\CD^2=7^2+9^2\\CD^2=49+81\\CD^2=130\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{CD^2} = \sqrt{130} \\\\CD=\sqrt{130} \\\\CD=11.4

Q3)

Apply phythogoras theorem again:

BC^2=BD^2+CD^2\\BC^2=7^2+13^2\\BC^2=49+169\\BC^2=218\\\\Apply\ square\ root\ on\ both\ sides\\\\\\sqrt{BC^2} =\sqrt{218}  \\\\BC=\sqrt{218} \\\\BC=14.76

I have an attached an image for Question 2 for better understanding the length of DE in question equals 15 - 6 = 9

4 0
3 years ago
Answer choices :<br> A.85<br> B.55<br> C.40<br> D.20
stira [4]
I think the answer is D.20
4 0
3 years ago
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