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3 years ago

Describe how to factor quadratics.

Mathematics

1 answer:

Feliz [49]3 years ago

4 0

Answer:

Step 1:

Write the equation in the correct form. To be in the correct form, you must remove all parentheses from each side of the equation by distributing, combine all like terms, and finally set the equation equal to zero with the terms written in descending order.

Step 2:

Use a factoring strategies to factor the problem.

Step 3:

Use the Zero Product Property and set each factor containing a variable equal to zero.

Step 4:

Solve each factor that was set equal to zero by getting the x on one side and the answer on the other side

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Crystal solved the following equation incorrectly. In which step did she make a mistake? A Step 1 B Step 2 C Step 3 D Step 4

dem82 [27]

Answer: i don't know

Step-by-step explanation:yep

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2 years ago

The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

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3 years ago

Four rectangles are shown in the diagram. For which pair of rectangles is the ratio of the side lengths 1:3?

kondor19780726 [428]

The answer is B. because it is 6:9 which simplifies down to 1:3

5 0

3 years ago

Check out if I'm right<br> Plz explain..if u have a different answer

Ronch [10]

Answer:

A C

Step-by-step explanation:

A is true.The numerator does have 3 terms. The constant term (the 3 at the end) is still a term and counts as a term.

A constant term does not count as a coefficient so b is not right, just as you have indicated by not underlining it.

C is true. In fact, 2 is the leading coefficent of the denominator.

Either A is true or D is, but I don't think they both are. You need a modifier to claim that D is true. If the statement said the numerator has <em>at least </em>2 terms then both A and D would be true. Without the at least, you have to pick one and the one I choose is A

This is the tough one. Very sticky. You would think it is true, but it isn't. A constant term is not a coefficient. Coefficients only count when they are with "x"s.

8 0

3 years ago

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timofeeve [1]

Answer:

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Step-by-step explanation:

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3 years ago