100 POINTS (urgent) Write an equation of a line that passes through the point (2, 3) and is parallel to the line y =3/2X + 5

Mathematics

1 answer:

DIA [1.3K]2 years ago

3 0

Answer:

C. 3/2x

Step-by-step explanation:

Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.

y = mx + b ---> plug in known values

3 = (3/2)(2) + b ---> Multiply

3 = 3 + b ---> Subtract 3 from both sides.

0 = b

Since the intercept is 0, you will not see a number after the slope and x.

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Answer:

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Step-by-step explanation:

In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.

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3 years ago

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3 years ago

A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18. This sample mean c

dusya [7]

Answer:

True

Step-by-step explanation:

Given that:

M = 27, sample of n = 36 scores, µ = 30 and σ = 18.

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the z score is positive, the raw score is greater than the mean and if the z score is negative the raw score is less than the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}$