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3 years ago

Determine whether y = 2x - 3 is a linear equation. If so, write the equation in standard form.

Mathematics

2 answers:

frutty [35]3 years ago

7 0

Answer:

Yes, it's a linear equation. The standard form is 2x - y = 3.

Step-by-step explanation:

The equation y = 2x - 3 is in slope-intercept form. Slope-intercept form applies to linear equations/functions.

To convert slope-intercept into standard:

1. Subtract 2x from both sides.

$y - 2x = 2x -3-2x$
$-2x + y =-3$

2. Multiply everything by -1.

$-2x*-1+y*-1=-3*-1$
$2x-y=3$

Have a lovely rest of your day/night, and good luck with your assignments! ♡

~ ren ⚘

beks73 [17]3 years ago

4 0

Answer:

yes, y=2x-3 is linear

2x - y = 3 Standard Form

Step-by-step explanation:

since both the 'x' and 'y' variables have one as their exponents then this represents a linear equation

standard form: Ax + By = C

y = 2x - 3

subtract 2x from each side to get:

-2x + y = -3

divide each term by -1 to get (this is done so the leading coefficient is not negative)

2x - y = 3 Standard Form

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Answer:

c. binomial distribution with n = 5 and p = 1/33.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability of a birth resulting in a defect is independent of other births. So we use the binomial probability distrbution 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.

The proportion of American births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that the probability of a birth resulting in a defect is $p = \frac{1}{33}$

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This means that $n = 5$

So the correct answer is:

c. binomial distribution with n = 5 and p = 1/33.

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