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Stells [14]
1 year ago
15

A rational expression simplifies to 3. the denominator of the original expression is given. which polynomial is the numerator?

Mathematics
1 answer:
4vir4ik [10]1 year ago
4 0

The polynomial within the numerator is 9x²+45x+54.

Given the denominator of the initial expression is \frac{?}{3x^2+15x+18} and also the rational expression simplifies to three.

A mathematical expression which will be rewritten to a rational fraction, an algebraic fraction specified both the numerator and therefore the denominator are polynomials. and a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Let's take the polynomial within the numerator is k.

So, rewrite the given expression as

\frac{k}{3x^2+15x+18}=3

or it also can be written as

\frac{k}{3x^2+15x+18}=\frac{3}{1}

Cross multiply either side as a×d=b×c where a=k, b=3x²+15x+18, c=3 and d=1 and acquire

k=3(3x²+15x+18)

Simplify the above expression,

k=9x²+45x+54

Hence, the polynomial within the numerator within the given expression \frac{?}{3x^2+15x+18} which is simplified to 3 is 9x²+45x+54.

Learn about rational expression from here brainly.com/question/3764404

#SPJ4

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\displaystyle \bf\\
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x =  \frac{14 \cdot 20}{25} =  \frac{280}{25} = 11,2 \sim \boxed{10} ~~\text{(rounded to the nearest tenth)}



7 0
2 years ago
= 1/2 (u+v)t
RoseWind [281]

The distance travelled by an object is 50 m.

<h3>What is Distance?</h3>

The distance between two points is the length of the path connecting them.

Here, given equation of distance

         S = 1/2 (u + v)t

Where s is the distance traveled by an object (in meters)

initial velocity u (in m/s)

final velocity v (in m/s).

t in seconds.

Now, given values are;

u = 8 m/s ;  v = 12 m/s ;   t = 5 sec.

    S = 1/2 (8 + 12)5

    S = 1/2 (20)5

    S = 100/2

    S = 50 m.

Thus, the distance travelled by an object is 50 m.

Learn more about Distance from:

brainly.com/question/15172156

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5 0
2 years ago
Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter t
Eva8 [605]
The answer is 81.74 meters
5 0
3 years ago
The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
3 years ago
14 points to brainliest
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5 0
3 years ago
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