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tia_tia [17]
2 years ago
13

For what values of x is the rational expression below undefined? x+5/3x^2-3

Mathematics
2 answers:
Goryan [66]2 years ago
8 0
Undefined at the x- intercepts, +1 and -1. (apex)
FinnZ [79.3K]2 years ago
4 0

Answer:

Hence, the values of x for which the expression is not defined is equal to 1 or -1.

Step-by-step explanation:

We are asked to find for which values of x is the rational expression:

\dfrac{x+5}{3x^2-3} is undefined.

We know that a rational expression is undefined when the denominator term is equal to zero.

Hence, we could represent the algebraic expression as:

\dfrac{x+5}{3x^2-3}=\dfrac{x+5}{3(x^2-1)}\\\\\dfrac{x+5}{3x^2-3}=\dfrac{x+5}{3(x-1)(x+1)}

Hence, clearly from the expression we could observe that:

the expression is not defined when x=1 or x=-1.

( since the denominator will be zero if x receives any of the above two values or both)

Hence, the values of x for which the expression is not defined is equal to 1 or -1.

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Afina-wow [57]

Bir tam sayı ve bir basit kesir ile ifade edilen kesirlere taam sayılı kesir denir.

4 0
2 years ago
Two-thirds of a number added to itself is 20. What is the number?
vivado [14]

Answer:

12

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20   ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

8 0
3 years ago
Write the number in two other forms 8.517
tamaranim1 [39]
Expanded: 8.000 + .500 + .010 + .007

Word Form: eight ones, five tenths, one hundredth, seven thousandths

Hope this helps!


3 0
3 years ago
A number is three less than six times another numbers. The sum is 53. Find the numbers
Pachacha [2.7K]
X = 6y - 3
x + y = 53

6y - 3 + y = 53
7y - 3 = 53
7y = 53 + 3
7y = 56
y = 56/7
y = 8

x = 6y - 3
x = 6(8) - 3
x = 48 - 3
x = 45

ur numbers are : 8 and 45
3 0
2 years ago
In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an
Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

BC^2=AC^2+AB^2

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

10^2=a^2+a^2

100=2a^2

\Rightarrow a^2=50

\Rightarrow a=\pm5\sqrt{2}

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

\frac{1}{2}\cdot BC\cdot AD     (1)

\Rightarrow \frac{1}{2}\cdot 10\cdot AD

And other method of area of triangle is:

\frac{1}{2}\cdot AB\cdot BC       (2)

Equating (1) and (2) we get:

\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a

\Rightarrow AD=\frac{a^2}{10}

\Rightarrow AD=\frac{50}{10}=5

Using area of triangle is: \frac{1}{2}\cdot BC\cdot AD

Now, the area of triangle ABC=\frac{1}{2}\cdot 5\cdot 10

\Rightarrow 25



4 0
3 years ago
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