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Masja [62]
3 years ago
13

Are a rational expression and its simplified forms equivalent? Provide mathematical examples to support your opinions.

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
Yes rational expression and its simplified forms are equivalent.

Rational expression are those that contain fractions.

Example: 
25/50 is a rational expression but it is not yet in its simplest form.

25/50 ⇒ 5/10 ⇒ 1/2

1/2 is the simplest form of 25/50.

They are equivalent:

1/2 = 25/50
1*50 = 2*25
50 = 50

or 
1/2 = 0.50
25/50 = 0.50


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Find the area of the following geometric figure
romanna [79]

The area of the triangle is 90 m²

Explanation:

Given that the base of the triangle is 15 m

The altitude of the triangle is 12 m

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

Area=\frac{1}{2}bh

where b is the base and h is the altitude

Thus, we have,

b=15 and h=12

Substituting the values in the above formula, we get,

Area=\frac{1}{2}(15)(12)

Multiplying the terms, we get,

Area=\frac{180}{2}

Dividing, we get,

Area=90 \ m^2

Therefore, the area of the triangle is 90 m²

4 0
3 years ago
Which of the following function types exhibit the end behavior (PICTURE INCLUDED)
Nostrana [21]

Answer:

y=x^n; n is even and greater than zero.

The absolute value function y=|x|

Step-by-step explanation:

The power function;

y=x^n; n is even and greater than zero, is symmetric with respect to the positive y-axis.

As x\rightarrow \infty,f(x)\rightarrow \infty and as x\rightarrow -\infty,f(x)\rightarrow \infty

The absolute value function y=|x| also has the same end behavior.

The remaining functions in the options provided do not exhibit this end behavior.

See graph in attachment.

4 0
3 years ago
The question in the image.
GREYUIT [131]

Answer:

500 boxes

Step-by-step explanation:

<em>hey there,</em>

<em />

< Since "p" stands for profits, change "p" to 0 (since the question says 0 profits).

Here is how your equation would look like:

0 = -n^2 + 300n + 100000

Pretend like "n" is "x" since that is the variable we are trying to find here.

Solve for "n". Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

"n" actually ends up equaling 500, -200.

Obviously, negative can't be the answer because you can't have a negative amount of boxes. So 500 boxes would be your answer. 200 CAN'T be your answer <em>either </em>because it is a negative!! >

<u>Hope this helped! Feel free to ask anything else.</u>

6 0
3 years ago
Two cards are drawn at random without replacement from a deck of 52 playing cards. If the first card chosen is a King, what is t
gulaghasi [49]

Answer:

p=0.05882

Step-by-step explanation:

Probability is the likelihood of an event occurring.

-A standard deck of cards has 4 kings.

#After one card is removed, 51 remains of which 3 are kings:

P(king)=\frac{3}{51}\\\\=0.05882

Hence, the probability that the second card is king is 0.05882

3 0
2 years ago
Read 2 more answers
Find the length of each arc. Use the exact answer
Cerrena [4.2K]

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

3 0
2 years ago
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