Find the value of x (No explanation please :)

The mean radius of Earth is 6,371.0 kilometres and the mean radius of Earth’s Moon is 1,737.5 kilometres.

OLEGan [10]

Answer: 29,113.2 km

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Circumference = 2 x π x radius

Replacing with the values given:

Earth's mean circumference = 2 π 6,371.0 = 40,030.2 km

Earth's moon mean circumference = 2 π 1,737,5= 10,917 km

Now, we have to subtract Earth's moon mean circumference to Earth's mean circumference:

40,030.2- 10,917 =29,113.2 km

Feel free to ask for more if needed or if you did not understand something.

3 0

4 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%

Llana [10]

a) The given function is

$f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}$

The domain refers to all values of x for which the function is defined.

The function is defined for

$x^4+x^3-4x^2-4\ne0$

This implies that;

$x\ne -2.69,x\ne 1.83$

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

$x^4+x^3-4x^2-4=0$

This implies that;

$x= -2.69,x=1.83$

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

$\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

$\Rightarrow x^2-4=0$

$x^2=4$

$x=\pm \sqrt{4}$

$x=\pm2$

The roots are $x=-2,x=2$

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

$x=0$ into the function

$f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}$

$f(0)=\frac{-4}{-4}=1$

e) to find the horizontal asypmtote, we take limit to infinity

$lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0$

The horizontal asymtote is $y=0$

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0

3 years ago

Help please and don't delete the question

Ahat [919]

Answer:

x = 2

Step-by-step explanation:

8(4-x) = 7x + 2

1) Distribute : 32 - 8x = 7x + 2

2) Subtract 32 : -8x = 7x - 30

3) Subtract 7x : -15x = -30

4) Divide 15 : x = 2 :)

4 0

3 years ago

Read 2 more answers

Tara incorrectly estimates 36,591,000,000 meters as 4x10^6. is she correct?

Misha Larkins [42]

Answer:

no she's not YOU LITERALLY SAID SHES INCORRECT.

Step-by-step explanation:

it's 4 million and this should help u also gimme my points

6 0

3 years ago

John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the n

lbvjy [14]

<span>The extra cost can be calculated by working out the total he has spent and subtracting the value of the truck. He spends $1500 on a downpayment and (350 x 10 = $3500) on monthly payments, giving him a total outlay of $5000. This means he overspent by $500. $500 interest was paid for 10 months, so at that same rate, $600 would have been paid for 12 months. $600 as a percentage of the cost of the truck minus the down payment ($3000) is 20%. </span>

4 0

3 years ago