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3 years ago

Find the radius of a circle with the equation 2x2+y2-6x+2y-45=0

1 answer:

4 0

2x²+y²-6x+2y-45=0
center:(3/2,-1)
vertex1:(3/2,-1+√202/2)
vertex2:(3/2,-1-√202/2)
focus1:(3/2,-1+√101/2)
focus2:(3/2,-1-√101/2)

I hope this helps!!!!!!!!!!

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Determine the domain of the function (fog) (x) where f(x) = 3x-1/x-4 and g(x)=x+1/x

Mrac [35]

Answer:

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

Step-by-step explanation:

The given functions are $f(x)=\frac{3x-1}{x-4}$ and $g(x)=\frac{x+1}{x}$ .

We now composed the two functions to find:

$(f\circ g)(x)=f(g(x))$

$\implies (f\circ g)(x)=f(\frac{x+1}{x})$

$\implies (f\circ g)(x)=\frac{3(\frac{x+1}{x})+1}{\frac{x+1}{x}-4}$

$\implies (f\circ g)(x)=\frac{4x+3}{1-3x}$

This function is defined if the denominator is not zero.

$1-3x\ne0$

$x\ne\frac{1}{3}$

We write this in interval notation as:

$(-\infty,\frac{1}{3})\cup (\frac{1}{3},\infty)$

We need to be cautious here as x=0 is not in the domain of g(x).

Therefore the domain of $(f\circ g)(x)$ is

$(-\infty,0)\cup(0, \frac{1}{3})\cup (\frac{1}{3},\infty)$

4 0

3 years ago

Mr. Simmons buys a car for a total cost of $9,899. He can pay $206 a month but no more. He determines that he will make 49 payme

GaryK [48]

9,899 = 206x
He divided by 206
He got 48.053 and rounded up to 49
My using the equation, we can see that he is correct.

4 0

3 years ago

Please help im so confused!?

sergejj [24]

I think the answer is D) 24/25.

Again sorry if its wrong!!

6 0

3 years ago

A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean

satela [25.4K]

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

water drinking habits:

mean = 62 ounces

standard deviation = 5.2 ounces

Step 02:

normally distribution:

95% ===> 2 SD

(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD

(62 - 5.2 - 5.2) ounces = 51.6 ounces ==> - 2 SD

The answer is:

51.6 ounces - 72.4 ounces

3 0

1 year ago

On the planet Tott, there are 7 rews to every 6 hopts. If farmer Boondin has 40 hopts on her frenk farm, how many rews are on th

Anestetic [448]

Answer:

uwuu

Step-by-step explanation:

ok the reason y iput uwu because uwu

4 0

2 years ago

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