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stealth61 [152]
1 year ago
14

What is the rational expression in simplest form? State any restrictions on the variables.

Mathematics
1 answer:
allochka39001 [22]1 year ago
4 0

According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = \frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = \frac{-4}{(x+3)}

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is \frac{-4}{(x+3)}

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

To learn more about the polynomial expression from the given link:

<u>brainly.com/question/1280754</u>

#SPJ4

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Two life insurance companies determine their premiums using different formulas:
Pie

Answer:

<em>The age at which both companies charge the same premium is 44 years</em>

Step-by-step explanation:

<u>Graph Solution to System of Equations</u>

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

8 0
3 years ago
A school principal ordered 1,000 pencils. He gave an equal number to each of 7 teachers until he had given out as many as possib
Semenov [28]
1000/7 = <span>142.857142857

Because this is not an even number we take "142", then times it by 7 teachers.

142*7= 994

1000 - 994 = 6 Pencils left</span>
3 0
3 years ago
HELP... <br> Find the Product<br> -8b(2-5b)
IrinaVladis [17]

Answer:

-16b+40b^2

Step-by-step explanation:

-8b*2=-16b

(-8b)(-5b)=40b^2

3 0
3 years ago
Read 2 more answers
What does A equal: 3(6a+12)=9
melisa1 [442]

Answer:

a = -3/2

Step-by-step explanation:

3(6a+12)=9

Divide each side by 3

3/3(6a+12)=9/3

6a+12 = 3

Subtract 12 from each side

6a+12-12 = 3-12

6a = -9

Divide by 6

6a/6 = -9/6

a = -3/2

5 0
2 years ago
Read 2 more answers
Need answer as soon as possible
cluponka [151]

Answer:

5

Step-by-step explanation:

they are equal to one another soo make an equation and solve it 2x-10 then divide that and get 5

4 0
3 years ago
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