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4 years ago

Find the two integers, m and n, make the equation (2x^ny2)m = 4x6y4 true.

Mathematics

1 answer:

musickatia [10]4 years ago

3 0

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3

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Erin built a rectangular prism shapped trough for her horses to eat from.

TEA [102]

Answer:

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3 years ago

Li Ping says a square with 3 inch sides has greater area than a parallelogram that is not a square but has sides that have the s

Kipish [7]

Answer:

Li Ping's statement makes sense.

Step-by-step explanation:

The area of a square with side lengths a inches is given by, $A_1 = a^{2}$ .

Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, $A_2 = ah$ , where, h is the perpendicular distance between the opposite sides.

See the diagram attached.

Since a is the hypotenuse of as right triangle with height h, hence, a > h.

So, $A_1 > A_2$

Therefore, Li Ping's statement makes sense. (Answer)

8 0

3 years ago

Determine the domain and range of (g ○ f)(x) if f of x is equal to 4 over the quantity x squared minus 4 end quantity and g(x) =

lara [203]

The domain and range of a function are the possible x and y values of the function.

The domain and the range of the function is: (a) $\mathbf{D:\{x \in R|x \ne -2,2\}}$ and $\mathbf{R:\{(-\infty,1) \cup (2,\infty)\}}$

The functions are given as:

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

$\mathbf{g(x) = x + 2}$

(g o f)(x) is calculated as:

$\mathbf{(g\ o\ f)(x) = g(f(x))}$

So, we have:

$\mathbf{(g\ o\ f)(x) = \frac{4}{x^2 - 4} + 2}$

Take LCM

$\mathbf{(g\ o\ f)(x) = \frac{4 + 2x^2 - 8}{x^2 - 4} }$

$\mathbf{(g\ o\ f)(x) = \frac{2x^2 - 4}{x^2 - 4} }$

Represent the denominator as follows, to calculate the domain

$\mathbf{x^2 - 4 \ne 0 }$

Add 4 to both sides

$\mathbf{x^2 \ne 4 }$

Take square roots of bot sides

$\mathbf{x \ne \±2 }$

Hence, the domain of the function is:

$\mathbf{D:\{x \in R|x \ne -2,2\}}$

On the graph of $\mathbf{(g\ o\ f)(x) = \frac{2x^2 - 4}{x^2 - 4} }$ (see attachment), the function does not have a value from y = 1 to 2.

Hence, the range is:

$\mathbf{R:\{(-\infty,1) \cup (2,\infty)\}}$

Read more about domain and range at:

brainly.com/question/1632425

5 0

2 years ago

Read 2 more answers

Find the value of X.

zzz [600]

Answer:

Step-by-step explanation:

There are two parallel lines given.

Two transversals cut them.

Here m and n are parallel.

Two transversals cut them so that a triangle is formed.

Let us use the property that sum of angles of a triangle = 180

Bottom angle of triangle = 39 (vertically opposite angles)

Top left angle = 4x+3 (vertically opposite angles)

Top right angle = 180-6x (linear pair property)

Now add these 3 and equate to 180

39+4x+3+180-6x = 180

2x = 42

Or x = 21

3 0

3 years ago

Choose he axiom that allows x(10) to be written 10x

stellarik [79]

I think the correct answer from the choices listed above is the last option. The axiom that allows x(10) to be written 10x would be the commutative property of multiplication. It states that numbers can be added or multiplied in any order. Hope this answers the question. Have a nice day.

4 0

3 years ago