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Vladimir [108]
3 years ago
13

Use the x-intercept method to find all real solutions of the equation. x^3-9x^2+11x+21=0

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:

The real solutions of the given equation are:x = -1, 3, and 7

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20% of 248 is 49.6

Step-by-step explanation:


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The company’s cost of manufacturing a single 1-inch binder is $0.25. What is the expected profit (in dollars) that the company w
pav-90 [236]

It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.

<h3>How to solve the mean.</h3>

From the complete information, the mean will be calculated as:

= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)

E(X) = 4.26

The standard deviation will be calculated thus:

E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)

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The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.

The expected profit of the company will be:

= 0.75 × E(X)

= 0.75 × 4.26

= $3.20

The mean of the total number of binders purchased will be:

= 4.26 + 2.74 = 7

The standard deviation will be 1.6658.

Lastly, the total expected profit will be:

= 0.75E(X) + 1.45E(Y)

= 0.75(4.26) + 1.45(2.74)

= 3.195 + 3.973

= 71.68

Learn more about standard deviation on:

brainly.com/question/24298037

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A line passes through the point (3,4) and has a slope of 7. Write an equation for this line
Dmitry [639]

Answer:

y = 7x - 17

Step-by-step explanation:

If you graph the coordinate (3,4) and then apply the slope (7 up / 1 down) , you will end up passing through the point (0,-17) on the y line. The point the line passes on the y line would be the y intercept.

Once you have all the necessary information, you put it into a y=mx+b form. m being the rate or slope, and b being the y-intercept.

8 0
3 years ago
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