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3 years ago

What is the slope of the line represented by the equation y = 6x - 12?

1 answer:

6 0

There are different types of equations of lines.
There are these three main forms, but I'll focus on just 2:

Slope-Intercept Form:
y = mx + b

Where,
"m" = slope
"b" = y-intercept

Point-Slope Form:
y - y1 = m(x - x1)

Where,
"m" = slope
"y1" = A y point on the graph
"x1" = A x point on the graph that correlates with the y value.

y = 6x - 12

Is in the same form of Slope-Intercept:

So,

y = 6x - 12

m = 6
b = -12

So our slope is,
6

Keep in mind if it was a fraction (Example: 6/5, then the slope is 6/5) the slope will be the entire fraction.

Also remember slope is the RISE over the RUN meaning it is the y value over the x value. So in this case we would go UP 6 and right 1 (because 6 is understood as 6/1).

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3x − 2y = −2

Lina20 [59]

Answer: C. -3y+14

Step-by-step explanation:

$3x-2y=-2\\x+3y=14$

Move 3y to ther right side.

$3x-2y=-2\\x=-3y+14$

So the answer is C. Because x = -3y+14.

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3 years ago

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What is the probability that the sun will rise tommorow?

zvonat [6]

Answer:

100 percent the sun will rise tomorrow but who is to say you will get to see the sun tomorrow? who is to say you won't have a heart attack and die on this material planet tomorrow and won't get to see the sun rise. or what if the sun sends out a solar flare and burns everyone to a crisp and completely demolishes our ozone layer allowing oxygen to excrete from the planet and cooking everyone with solar radiation all at the same time catastrophic winds and earthquakes demolish the planet because of loss of pressure from the gravity field held in check by the oxygen that has left the planet from a destroyed ozone layer leaving everyone to suffocate and die and excruciating death therefore yes the sun will rise tomorrow but certain events are to unfold we could never prognosticate

Step-by-step explanation:

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3 years ago

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Describe the transformations of how the graph y=x^2 can be transformed into y= -1/5 (x-4)^2 + 2

Orlov [11]

Answer:

Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.

Step-by-step explanation:

Parent Graph: f(x) = a(bx - h)² + k

a is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis

b is horizontal stretch or shrink and reflection over y-axis

h is horizontal movement left (if positive) or right (if negative)

k is vertical movement up (if positive) or down (if negative)

Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2

a = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)

Nothing has changed b, so no horizontal stretch/shrink

h = -4, so horizontal movement right 4 units

k = 2, so vertical movement up 2 units

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3 years ago

The theory that it is reasonable to chose the simpler theory when choosing between two competing theories of equal explanatory v

Vesnalui [34]

Answer:

Occam’s razor theory.

Step-by-step explanation:

This theory is known as Occam’s razor theory.

It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”

This definition resonates with what is explained in the question.

Thus, the theory is as explained.

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3 years ago

Mark's brother is 5 years older than Mark. Their combined ages add up to 23. How old is Mark?

anygoal [31]

Answer:

Mark would be 9

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