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2 years ago

How many 1-inch cube can fill a cube with the edge of 1 foot

Mathematics

1 answer:

ANEK [815]2 years ago

3 0

12 1 inch cube can fill a cube with the edge of 1 foot because there are 12 inches in one foot

hope this helps

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State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)

Katena32 [7]

Answer:

$f^{-1}(x) = \frac{x+8}{8}$

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

$f(x) = 8x + 8$

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

$y = 8x + 8$

Exchanging:

$x = 8y - 8$

Isolating y:

$8y = x + 8$

$y = \frac{x+8}{8}$

$f^{-1}(x) = \frac{x+8}{8}$

5 0

2 years ago

Determine if the equation 4x^2 - 6y^2 = 144 represents an ellipse or a hyperbola, then determine if the ellipse or hyperbola is

PilotLPTM [1.2K]

It represents a horizontal hyperbole

8 0

2 years ago

Help math maths math math

Travka [436]

Answer:

Step-by-step explanation:

remeber is (x,y) so it will be like this $\frac{6-3}{4-6} =-\frac{3}{2}$

5 0

2 years ago

brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows

Goryan [66]

Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is $\mathbf{y=-4x-3}$

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: $y=mx+b$

First we need to find slope

The formula used for finding slope is: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We are given: $x_1=-7, y_1=25, x_2=-4, y_2=13$

Putting values in formula and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4$

So, slope m= -4

Now finding y-intercept

Using slope m=-4 and point (-7,25) we can find y-intercept

$y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3$

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:

$y=mx+b\\y=-4x-3$

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is $\mathbf{y=-4x-3}$

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2 years ago

The approximate curve is an empirical formula equation and the method of finding such an approximating curve is called _________

Free_Kalibri [48]

The answer it Curve Fitting or Arc but I think Curve Fitting just good luck

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2 years ago