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Evgen [1.6K]
3 years ago
9

What is the value of the rational expression x/x2-9 when x = –3?

Mathematics
2 answers:
kvasek [131]3 years ago
7 0

Answer:

undefined

Step-by-step explanation:

the value of the rational expression x/x2-9 when x = –3

Rational expression is \frac{x}{x^2-9}

To find the value of the rational expression at x=-3 , we plug in -3 for x

\frac{x}{x^2-9}

\frac{-3}{(-3)^2-9}

\frac{-3}{9-9}

\frac{-3}{0}

When the denominator becomes 0 then the expression is undefined

amid [387]3 years ago
3 0
You're answer is D.
-3/-3(2)-9
1(2)-9
2-9
7
so it is D
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Please help me!!! :D
lesantik [10]

Explanation:

For a theorem that says "if A then B", the converse is "if B then A."

__

The hing.e theorem has numerous parts to the hypothesis. Its converse retains many of those conditions, swapping only the relation between the included angle and the third side.

<u>theorem</u>: if two sides of one triangle are congruent to two sides of another, then the longest third side will be opposite the largest included angle.

<u>converse</u>: if two sides of one triangle are congruent to two sides of another, then the largest included angle will be opposite the longest third side.

Instead of relating the third side to the angle measure, the converse relates the angle measure to the third side.

4 0
2 years ago
Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with
RUDIKE [14]

Answer:

a) the probability that Both motors will operate satisfactorily in the capsule 0.6222

b) the probability that One motor will operate satisfactorily and the other will not is 0.3556

Step-by-step explanation:

Given that;

total number of motors N = 10

number of motors will not operate satisfactory m = 2

number of motors randomly selected n = 2

let X be number of motors will that will not operate successfully

here, X≅Hyper geometric (x; N,n,m)

The probability mass function of x is;

P (X = x)=  { m }   {N - m }

                  {x }    {n - x}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { N }

                     { n  }

a)

the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory

so

P(X= 0)  = { 2 }    { 10 - 2 }

                 {0 }    { 2 - 0}

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P (X = 0)  = { 2 }   { 8}

              {  0 }   { 2  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

p(P= 0)=1×28 / 45 = 28/45 = 0.6222

Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222

b)

the probability that one motor will operate satisfactorily and the other will not.

P(X=1)  = { 2 }   { 10 - 2 }

              {  1 }    { 2 - 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

so

P(X=1)  = { 2 }   { 8 }

              {  1 }   { 1  }

        ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                     { 10 }

                     { 2  }

P(X=1)  = 2×8 / 45 = 16/45 = 0.3556

Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556

3 0
3 years ago
What is two solutions for x&gt;6
Daniel [21]

7>6

8>6

9>6

etc.

Possible values for x:

x=7

x=8

x=9

etc.

4 0
3 years ago
Jane multiplies her number by three and subtracts 2.
katrin [286]

Answer:

Let the number they chose be 'x'.

Result of Jane = 3x -2

Result of Elliot = 2x+3

Given that,

The product of their result = 110

or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}

3 0
3 years ago
Solve the math problem
Nadusha1986 [10]

<u>Answer:</u>

Below!

<u>Explanation:</u>

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

  • 2¹ = 2
  • 3⁵ = 3 x 3 x 3 x 3 x 3 = 243
  • 4³ = 4 x 4 x 4 = 64
  • 6⁴ = 6 x 6 x 6 x 6 = 1256
  • 7⁴ = 7 x 7 x 7 x 7 = 2401
  • 1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
  • 8² = 8 x 8 = 64
  • 2³ = 2 x 2 x 2 = 8
  • 4⁴ = 4 x 4 x 4 x 4 = 256
  • 10³ = 10 x 10 x 10 = 1000
  • 12² = 12 x 12 = 144
  • 5⁴ = 5 x 5 x 5 x 5 = 625
  • 6² = 6 x 6 = 36
  • 3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
  • 7³ = 7 x 7 x 7 = 343
  • 2⁴ = 2 x 2 x 2 x 2 = 16
  • 11⁰ = 1
  • 4³ = 4 x 4 x 4 = 64
  • 1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0
2 years ago
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