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denis23 [38]
3 years ago
11

Please help! not sure how to start.

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0
First simplify it so it would become -1 x^2 over 6 x^5
then you need to simplify the x's so do 5-3 so the final answer is -1 over 6 x^3
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Place the quadratic y=2x^2+24x+79 into vertex form by using the method of completing the square and then state the coordinates o
katrin2010 [14]

Answer:

y=2(x+6)^2+7

(-6,7)

Step-by-step explanation:

y=2x^2+24x+79

Completing the square is a process of converting a quadratic equation in standard form into vertex form.

The first step in completing the square is grouping the quadratic and linear terms of the quadratic equation.

y=(2x^2+24x)+79

Factor out the coefficient of the quadratic term,

y=2(x^2+12x)+79

Now complete the square, add a term to make the grouped part of the equation a complete square, then balance the equation.

y=2(x^2+12x+36-36)+79

Simplify,

y=2(x^2+12x+36)+79+(2)(-36)

y=2(x+6)^2+79-72

y=2(x+6)^2+7

The x-coordinate of the vertex of the equation is equal to (-1) times the numerical part of the quadratic term, and the y-coordinate is equal to the constant.

(-6,7)

7 0
3 years ago
A factory dumps an average of 2.43 tons of pollutants into a river every week. if the standard deviation is 0.88 tons, what is t
vovikov84 [41]
25.8%  
First, determine how many standard deviations from the norm that 3 tons are. So:
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So 3 tons would be 0.647727273 deviations from the norm. Now using a standard normal table, lookup the value 0.65 (the table I'm using has z-values to only 2 decimal places, so I rounded the z-value I got from 0.647727273 to 0.65). The value I got is 0.24215. Now this value is the probability of getting a value between the mean and the z-score. What I want is the probability of getting that z-score and anything higher. So subtract the value from 0.5, so 0.5 - 0.24215 = 0.25785 = 25.785%  
So the probability that more than 3 tons will be dumped in a week is 25.8%
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The answer is B) (7x20) + (7x4)
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Answer:

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Step-by-step explanation:

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