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olga55 [171]
3 years ago
8

Identify the factors of x2 − 5x − 24.

Mathematics
1 answer:
lutik1710 [3]3 years ago
6 0
This seems to look like a factoring question. When factoring, one must know that the second number is the sum of the two values multiplied by x, and the third number is what happens when one multiplies those two numbers. Using these definitions, one can conclude that  the correct answer is (x-8)(x+3)
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Explain how a solution found using substitution can be checked.
DENIUS [597]
A solution can be found using substitution by substituting the ordered pair into both of the original equations.
4 0
3 years ago
Which algebraic expression is equivalent to the expression below 6(2x+5)+4x
Veronika [31]
12x+30+4
12x+34

This is 12x + 34 because when we combine all like terms, we get it.
6 0
3 years ago
How do you do these geometry?
siniylev [52]

Answer:

The angles are 45°, 60° , 75°

Step-by-step explanation:

<h3>Angle sum property:</h3>

Sum of all the angles of a triangle is 180°.

Equation:  

     3x + 5x + 4x = 180

Combine like terms,

                   12x = 180

                      x = 180/12

                      \sf \boxed{x = 15}

3x = 3 *15 = 45°

5x = 5* 15 = 75°

4x = 4 *15 = 60°

4 0
2 years ago
Read 2 more answers
PLEASE SHOW WORK AND HELP EXPLAIN: 12.42 divided by 4.6
Anni [7]

Answer:

12.42 = 1242 / 100;

4.6 = 46 / 10;

12.42 ÷ 4.6 = (1242 / 100) ÷ (46 / 10 ) = (1242 / 100) x (10 / 46 ) = ( 1242 / 46  ) x ( 100 / 10 ) =  27 x 10 = 270;

Step-by-step explanation:


7 0
4 years ago
The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
2 years ago
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