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3 years ago

What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6?

Mathematics

1 answer:

Elenna [48]3 years ago

4 0

Answer:

Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.

Lemme know if it worked for you and if you have further questions.

Step-by-step explanation:

3x - 2y = -6

can be rewritten as

2y = 3x + 6

or simpler

y = 1.5x + 3

we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.

y = 1.5x + b

(the letter b is now what we try to solve for)

now let's plug in the x-/y-Informations of the given point

2 = 1.5 * 4 + b

2 = 6 + b

-4 = b

so the new line is

y = 1.5x -4

(the given point lies on that line and it's parallel to the other line)

let's multiply everything by two to get closer to the original format

2y = 3x -8

it could also be expressed as

2y = -(-3x+8)

(in hope that this may help for choosing an answer option)

please clean up the text of questions before posting next time

(would really appreciate the brainliest)

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tatyana61 [14]

Answer:

P(x < 84) = 0.3085 or approximately 31%

============

<em>Hello to you from Brainly team!</em>

<h3>Given</h3>

Mean grade μ = 86,
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Grade limit x = 84.

Probability of that a randomly selected grade is less than 84 or P(x < 84).

<h3>Solution</h3>

Find z-score using relevant equation:

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1 year ago

Find the product of 0.3×0.23.

Alexxx [7]

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3 years ago

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).

o-na [289]

Answer:

S'(t) = 0.09t^2 + t + 9

S(2) = 24.24

S'(2) = 11.36

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

Step-by-step explanation:

The derivate of the sales function S'(t) , which is the rate at which sales vary with time in months, is:

$\frac{dS(t)}{dt} =S'(t) = 0.09t^2 + t + 9$

S(2) is found by applying t=2 to S(t):

$S(2) = 0.03*(2^3) + 0.5*(2^2) + 9*2 + 4\\S(2)= 24.24$

S'(2) is found by applying t=2 to S'(t):

$S'(2) = 0.09*(2^2) + 2 + 9\\S'(2) = 11.36$

Since the sales function gives the amount of sales in millions of dollars,

S(11) = 203.43 means that the sales of the company 11 months from now is $203,430,000.

S'(t) represents the rate of change in sales in millions of dollars per month.

S'(11) = 30.89 means that, 11 months from now, the rate at which sales change is $30,890,000 per month

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3 years ago