Which expression is equivalent to (2x to 4 y) 3 exponent?

A rectangle is shown. The length of the rectangle is labeled 18 inches. The width of the rectangle is labeled 6 inches.

Airida [17]

I think the answer is D.

3 0

4 years ago

Read 2 more answers

Identify the vertex, roots, and equation of the function below.

spayn [35]

The equation of a parabola in vertex form, is:

$y=a(x-h)^2+k$

Where (h,k) are the coordinates of the vertex.

From the given graph, notice that the coordinates of the vertex are:

$(5,6)$

The roots are the values of x where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points (4,0) and (6,0). Then, the roots are:

$\begin{gathered} x_1=4 \\ x_2=6_{}_{} \end{gathered}$

Substitute the values of the vertex into the equation of the parabola in vertex form:

$y=a(x-5)^2+6$

To find the value of a, substitute (x,y)=(4,0):

$\begin{gathered} 0=a(4-5)^2+6 \\ \Rightarrow0=a(-1)^2+6 \\ \Rightarrow0=a+6 \\ \Rightarrow-6=a \\ \Rightarrow a=-6 \end{gathered}$

Therefore, the equation of the parabola is:

$y=-6(x-5)^2+6$

3 0

1 year ago

What is the range of the function f(x) = 2x1 – 3?

Vinil7 [7]

Answer:

So, the range of this function will be all real numbers.

or R = ( -∞, +∞ )

Step-by-step explanation:

First I would like to do is to show you how to find the domain of the function.

The domain is the set of all x values or input values that are going to make our function true.

The graph of this linear function i.e f(x) = 2x1 – 3 will be a straight line where for all the values of x (whether positive or negative) there is a point on this function that has a y value.

So, for every input of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest), there will always be an output. There will be no breaks on the graph.

So, the domain of this function will be all real numbers.

Or D = ( -∞, +∞ )

In order to determine the range, we must know that for every input value of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest, there will be always be the value of y (output) of this function that can be any real number. So, the set of all the possible values of y will be the range of the function.

So, the range of this function will be all real numbers.

or R = ( -∞, +∞ )

Keywords: Domain, Range, Real Number

Learn more about domain and range from brainly.com/question/85220

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5 0

3 years ago

What is the point slope form of a line with slope -5 that contains the point (2,-1)?

Marina CMI [18]

Answer: A

Explanation:

(Y-Y1)=m(X-X1) is the base formula for point slope. The points to plug in (X1, Y1) are in this case (2,1). Plugging in those points gives you the equation of Y+1=m(X-2). Then it asks for the slope. In this equation, m = the slope. So plug in (-5) for the slope and you get Y+1=-5(X-2).

Hope this helps!

4 0

3 years ago

Please help. Is algebra. PLEASE HELP NO LINKS OR FILES

Alexandra [31]

It’s B. 7th degree monomial

8 0

3 years ago