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tamaranim1 [39]
3 years ago
8

PLEASE HELP! which of the following is a monomial?

Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

X.

Step-by-step explanation:

Hope this helps.

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Amy is solving the equation using the steps shown.
Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

\mathbf{(x^2 - 16)(x + 2) = 0}

The possible next steps are:

1. Expand the equation as follows

\mathbf{x^3+2x^2-16x-32 = 0}

2. Express x^2 -16 as a difference of two squares as follows

\mathbf{(x + 4)(x- 4)(x + 2) = 0}

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give \mathbf{(x + 4)(x- 4)(x + 2) = 0}

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is \mathbf{(x + 4)(x- 4)(x + 2) = 0}

Read more about equations at:

brainly.com/question/7674413

7 0
2 years ago
L need the answer for this question asap!!!
DochEvi [55]
<h2>Answer:</h2><h3>A. Domain </h3>

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

  • Domain = All reals

<h3>B. Range</h3>

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

  • Range = y ≤ 1

<h3>C. Increasing Interval</h3>

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

  • Increasing Interval = [-∞, 2]

<h3>D. Decreasing Interval</h3>

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

  • Decreasing Interval = [2, ∞]

<h3>E. Opening</h3>

The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

  • Opening = Down

<h3>F. Min and Max</h3>

A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.

  • Max = 1
4 0
2 years ago
A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.
Lisa [10]
The formula of the volume of a cylinder:

V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base

We have:

V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3

and

H=20\ dm

substitute:

\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2

Answer: The area of a base of the cylinder is equal 45 dm².
5 0
3 years ago
Find the area of the
Alex73 [517]

162 m^2

you can make a triangle in the corner with legs length s/2 and the angles are 45 degrees. in a 45 45 90 triangle, the legs are h/sqrt(2) where h is the hypotenuse. this means that s/2=9/2 sqrt(2), s=9 sqrt(2)

and s^2=162

5 0
3 years ago
A line passes through the points A(-1,7) and B(1,3). Write an equation fo this line
Sunny_sXe [5.5K]

Answer:

y = -2 + 5. Step-by-step explanation: To find the equation of a line when you only have two points you need to use the slope formula

Step-by-step explanation:

6 0
3 years ago
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