Calculus

Making an equation "y = ~$%#" by solving for y puts it into the simplest form to graph.

1kL (kiloliter) equates to 1 million milliliters.

First, in the rule, 8x+15=3x-20, you have to get the x's on the left side by subtracting 3x, on both sides. then it would be, 5x+15=-20.

so you have to get the numbers on the other side, so you will have to subtract 15 to both sides, so you get 5x=-35, then you divide both sides by 5.

So, it's x=-7.

So, the answer is -7.

"m" is the slope of the linear equation. As the value of m increases above 0, the graph appears to turn sharply upward. As m decreases below 0, the graph appears to turn sharply downward. If m is close to zero, the graph levels out horizontally. However, the reason why the letter "m" in particular was chosen is still unknown. Algebra has been studied for centuries, so there is sometimes a little ambiguity in its history.

on an x-y-z chart the circle is no longer a circle but a sphere. the general formula for a sphere on an xyz chart is...

(x-a)2 + (y-b)2 + (x-c)2 = r2

r=radius

the a is how far the center of the sphere is away from the x-axis. and also b and c is how far the center of the sphere is from the y and z-axis.

200x

7

x= -2,-5

y= -1, 4

(x - 1)(x + 1)(x + 1)

It can't be solved because it is not an equation but the given expression can be simplified to -2x-16

You graph each of them separately, on the same coordinate plane.

The length of the pendulum is measured from the pendulum's point of suspension to the center of mass of its bob. Its amplitude is the string's angular displacement from its vertical or its equilibrium position.

A career. That is the direct definition of a career from "The Career Fitness Program." Whereas a job is anything done is the scope of work.

If you solve such an equation for "y", you get an equation in the slope-intercept form.

58

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The answer is zero. If you multiply any number, no matter if it's negative or positive, by zero the answer will be zero.

(1 - csc2x)/(sinx*cotx) = -cot2x/sinxcotx = -cotx/sinx = -(cosx/sinx)/sinx = -cosx/sin2x = -cosx/(1-cos2x) = cosx/(cos2x - 1)

To write the inverse, you replace negatives with positives (and vice versa). Thus, for -3x + 5, it would be 3x - 5.

A = pi * r^2

divide A by pi

A/pi = r^2

take square root each side and discard the negative answer

sqrt(A/pi) = r

It is a quadratic relationship which for every x, y is squared.

The equation is r/6=14, which when solved gives r=84.

Typically, equations come from problems, and are not used to generate problems since equations can model any number of things. To start generating a problem, try making either the 6 or 14 a rate and the other the "time" part. The r will then be first part of the rate unit. The possibilities are endless.

Examples:
6 miles per hour, 14 hours, r is # of miles
6 Liters/second, 14 seconds, r is # of Liters
6 legs per insect, 14 insects, r is # of legs

6 blocks, 14 houses per block, r is # of houses
6 fortnights, 14 days/fortnight, r is # of days
6 questions, 14 dollars/question, r is # of dollars

Sensible but hard to explain

(x+2)/5 = 6+x

x+2 = 30+5x

x-5x = 30-2

-4x = 28

x = -7