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Fantom [35]
3 years ago
6

What is the slope of the line containing the points (-6,1) and (5,3)

Mathematics
1 answer:
Alina [70]3 years ago
8 0

The slope of the line containing the points (-6, 1) and (5, 3) is \frac{2}{11}

<em><u>Solution:</u></em>

Given that we have to find the slope of the line containing the points (-6, 1) and (5, 3)

\text{The slope of points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by: }

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here in this question,

(x_1, y_1) = (-6, 1)\\\\(x_2, y_2) = (5, 3)

Substitute the values in above mentioned formula,

m = \frac{3-1}{5-(-6)}

Simplify the above expression

m = \frac{2}{5+6}\\\\m = \frac{2}{11}

Thus the slope of the line containing the points (-6, 1) and (5, 3) is \frac{2}{11}

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The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=4
Zina [86]

The maximum revenue generated is $160000.

Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.

R(x) = x⋅p(x)

And,  p(x) = 400−0.25x

Put the value of p(x) in R(x), we get

R(x) = x(400−0.25x)

R(x) = 400x - 0.25x²

This is the equation for a parabola.  The maximum can be found at the vertex of the parabola using the formula:

x = -b/2a from the parabolic equation ax²+bx+c   where a = -0.25,  b = 400 for this case.

Now, calculating the value of x, we get

x = -(400)/2×-0.25

x = 400/0.5

x = 4000/5

x = 800

The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.

R(800) = 400x - 0.25x²

= 400×800 - 0.25(800)²

= 320000 - 160000

= 160000

Therefore, the maximum revenue generated is $160000.

Hence, $160000 is the required answer.

Learn more in depth about revenue function problems at brainly.com/question/25623677

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5 0
1 year ago
For z = –3 – 5i, which graph shows z and the product of z · i?
earnstyle [38]

Answer:

A

Step-by-step explanation:

z = -3 - 5i

z (i) = i (-3 - 5 i)

z (i) = -3i - 5i^2

z (i) = -3i - 5 (-1)

z (i) = -3i + 5

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Therefore, letter A is the correct answer.

3 0
2 years ago
Find the value when x= 2 and y= 3.<br> x^-3y^-3
Bas_tet [7]

Answer:

1/216

Step-by-step explanation:

x^(-3)y^(-3)

(2)^(-3)=1/2^3=1/8

(3)^(-3)=1/3^3=1/27

(1/8)(1/27)=1/216

4 0
3 years ago
Oceanside Bike Rental Shop charges 18 dollars plus 8 dollars an hour for renting a bike. Mary paid 74 dollars to rent a bike. Ho
sesenic [268]

Answer: 7 hours! you do 74-18 to get 56 then you divide 56 by 8 to get 7.

Step-by-step explanation:

hope this helps!!

7 0
2 years ago
The sum of fifteen and six times a number t is 81
Over [174]
Well the sum is 15+6=21. then you must do 81-21=60. So your answer must be t=60.
4 0
2 years ago
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