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3 years ago

A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using

Mathematics

1 answer:

Mkey [24]3 years ago

6 0

Answer:

Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.

If the expressions have the same value for two different variable values, they are equivalent. (choice D)

_____

<em>Additional comment</em>

One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.

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Write forty-eight out as a hundred as a hundred as a fraction in simplest form.

slamgirl [31]

The original answer should be 48/100.
Reduced is 24/50
Even more is 12/25
Your answer is 12/25

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3 years ago

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Mr. Mueller is hungry, but he can't leave the fire station to get food. He's

marin [14]

Answer:

$3.97x + $10 < (or equal to) $25

Step-by-step explanation:

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2 years ago

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According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

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2 years ago

The sum of three consecutive numbers is -9 what are the numbers

zloy xaker [14]

-9/ 3= -3

-3 + -4 + -2 = -9

the numbers are -2 , -3 , -4

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3 years ago

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State the slope and y intercept of the graph of 9-x=2y

jasenka [17]

The equation of a line is given by y = mx + c; where m is the slope.
The given equation is 9 - x = 2y
y = -1/2 x + 9/2
Therefore, the slope is -1/2 and the y-intercept is 9/2.

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3 years ago