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yarga [219]
4 years ago
6

Write the equation of the circle with radius 2 and center (2,-3).

Mathematics
1 answer:
lozanna [386]4 years ago
4 0

Answer:

x^2 + y^2 - 4x + 6y - 3 = 0

Step-by-step explanation:

(x-a)^2 + (y-b)^2 = r^2 is the equation of a circle which has center point (a,b) and radius r.

So in this question (2,-3) is the center and r=4.

Then we can write the equation as,

(x-2)^2 + (y+3)^2 = 16

x^2 + y^2 - 4x + 6y - 3 = 0

That is the Equation of the circle.

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(PLEASE HELP) Question is worth 30 points:) The following function represents the production cost F(x) In dollars for x numbers
soldi70 [24.7K]

Answer:

production cost f(x), in dollars, for x number of units produced by company 1:

f(x) = 0.05x^2 − 7x + 300

2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x        g(x)

0.6     899.58

0.8     899.52

1        899.50

1.2     899.52

1.4     899.58

3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

x            f(x) = 0.05x^2 − 7x + 300    g(x)

0.6         295.818                               899.58

0.8         294.432                               899.52

1            293.05                                 899.50

1.2         291.672                               899.52

1.4          290.298                              899.58

As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.

The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

Answer: Based on the given information, the minimum production cost for company 2 is greater.

Step-by-step explanation:

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$51.36

Step-by-step explanation:

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For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is
Aleksandr-060686 [28]

For some value of z, the value of the cumulative standardized normal distribution is 0.8340. the value of z is

Answer: We are required to find the value of z corresponding to probability 0.8340.

i.e., P(Z

We can find the value of z using the standard normal table.

Using the standard normal table, we have:

z(0.8340)=0.97

Therefore, for the value of z = 0.97, cumulative standardized normal distribution is 0.8340

Attached here standard normal table for your reference.



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