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3 years ago

How to write this in standard form

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer:

8x+y=6

Step-by-step explanation:

hope this helps

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Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in

mina [271]

We have two points, (3,0) and (0,-3). So we can find the slope of the line:

m=(y2-y1)/(x2-x1)

m=(-3-0)/(0-3)

m=-3/-3

m=1 so far for the line y=mx+b we have:

y=x+b, b is the y intercept which we were told is -3 so

y=x-3

The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..

y=x-3 subtract x from both sides

-x+y=-3

While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:

x-y=3

6 0

3 years ago

Jacob and Ayden work at a dry cleaners ironing shirts. Jacob can iron 25 shirts per hour, Ayden can iron 35 shirts per hour. Ayd

Anestetic [448]

Answer:

jacob ironed 100 shirts

ayden ironed 280 shirts

Step-by-step explanation:

jacob ironed for 4 hours and ayden for 8 hours

5 0

3 years ago

Expand<br> (2x - 3)4 <br><br> Can you help me expand this by using the binomial theorem?

saw5 [17]

The value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

<h3>How to expand the expression?</h3>

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

$(2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4$

Evaluate the combination factors.

So, we have:

$(2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4$

Evaluate the exponents and the products

$(2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81$

Hence, the value of expanding (2x -3)^4 is 16x^4 + 96x^3 +216x^2 -216x + 81

Read more about binomial expansions at:

brainly.com/question/13602562

#SPJ1

8 0

2 years ago

What is 2/21 x 7/5 <br> please tell me

madreJ [45]

Answer:

2/21x7/5 is 14/105

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The GRE is an entrance exam that most students are required to take upon entering graduate school. In 2014, the combined scores

Ede4ka [16]

$\mathbb P(286$
$\mathbb P(286$

The empirical rule says that approximately 68% of any normal distributed data set lies within one standard deviation of the mean.

$\mathbb P(-2$
$\implies\mathbb P(-2$

The same rule states that about 95% lies within two standard deviations of the mean. Using this rule, and the fact that any normal distribution is symmetric about its mean, you have

$\mathbb P(-2$
$0.95=2\mathbb P(-2$
$\implies\mathbb P(-2$

$\implies\mathbb P(-2$

8 0

3 years ago