Calculus

Oh, dude, x times y equals the product of x and y. It's like when you have x groups of y things, and you're too lazy to count them all out individually, so you just multiply them together and call it a day. Math, man, it's wild.

2

Well, isn't that a happy little question! When y equals 0, it means that the point is right on the x-axis. So, the value of x at that point is also 0. Just like painting, math can be a beautiful and peaceful experience when we take our time to understand it.

Oh, what a happy little question! Let's gently divide 2 into the polynomial -3x^2 + 7x - 9. When we do that, we find that the remainder is -6x - 21. Just remember, there are no mistakes, only happy little accidents in math!

Well, honey, solving 3x + 4 is as easy as stealing candy from a baby. You just subtract 4 from both sides to isolate the 3x, then divide by 3 to get x. Voila! You've cracked the code and solved that little math puzzle.

6 x 2.25 equals 13.5. This calculation involves multiplying the whole number 6 by the decimal number 2.25. To find the product, you can multiply 6 by 225 (ignoring the decimal point) to get 1350, and then move the decimal point two places to the left to account for the two decimal places in 2.25, resulting in 13.5.

The graph of y = -x^2 + 3 crosses the x-axis when y = 0. To find the number of times it crosses the x-axis, we set -x^2 + 3 = 0 and solve for x. This equation has two solutions, so the graph crosses the x-axis twice. Therefore, the answer is C. Two.

This is a hard concept to understand, since infinity is not a definite number. It can keep carrying on forever, which makes it a surreal number.

However, 1 can be measured by infinity as well, due to the never ending amount of decimal places, for example, 1 x 10^-6 [0.000001], 1 x 10^-12 [0.000000000001] and so on.

So, since it is impossible to determine the boundary of infinity, for 1 and for infinity itself, it is most agreed that the result will still be infinity, for whatever sum or subtraction you do, excluding infinity - infinity (0).

To determine the value of y when x is 100, we need more information about the relationship between x and y. If we have an equation or function relating x and y, we can substitute x=100 into the equation to find the corresponding value of y. Without this information, it is impossible to determine the value of y when x is 100.

-zy

or y(-z) and viceversa

or y x -z and viceversa

Well, honey, to simplify x times 3, you just multiply them together. So, the answer is 3x. It's as simple as that, darling.

Since we always say that x equals the number 1, because we can assume that the equation is 1 + 1. So the answer is 2.

To find 2 times the sum of x and y, you first need to calculate the sum of x and y by adding the two variables together. Once you have the sum, you multiply it by 2 to get the final result. In mathematical terms, the expression for 2 times the sum of x and y can be written as 2(x + y).

If the dimensions given are the length and the width, the area is determined by multiplying the length X width (5 X 3 = 15 sq cm).

This question cannot be answered without the whole equation:

If the equation is y = 2x, then y = 6 for x = 3.

If the equation is y = x + 2, then y = 5 for x = 3.

If the equation is y = 99/x, then y = 33 for x = 3.

If you can provide the complete equation, your question could be answered more precisely.

You don't solve it!!! It is a method of manipulation of indices.

a^(n) X a^(m) = a^(n+m)

Similarly,

a^(n) / a^(m) = a^(n-m)

[a^(n)]^(m) = a^(nm)

To solve the equation x^2 = n, you would take the square root of both sides to isolate x. This would give you x = ±√n, where the ± symbol indicates that there are two possible solutions, one positive and one negative. Therefore, the best way to solve this equation is to take the square root of n and include both the positive and negative roots as solutions.

I'm pretty sure that no one has actually wrote a complete proof of this statement, but the concept centers around the fact that functions are relations where the codomain is dependent on the domain, but relations don't necessarily have to be. If that sounds vague, it's because no one has really came up with a precise answer yet.

* * * * *

Actually, the definition of a function ensures that it is a relation. Given that, all you need to do is to find one relation that is not a function. A popular one is y = sqrt(x) for x ≥ 0. Since each value of x (other than 0), is mapped onto 2 distinct values of y the relation is not a function. However, it is easily made into function by limiting the codomain to non-negative reals or to non-positive reals.

Similarly, relations such as reciprocal or logarithm can be made into functions by defining the domain or codomain to get around the exceptions.

To find the mean of a set of numbers, you add all the numbers together and then divide by the total number of values. In this case, the sum of 1.2, 1.3, 1.4, and 1.5 is 5.4. Dividing 5.4 by 4 (the total number of values) gives you a mean of 1.35.

3X - 7 = 5

add 7 to each side

3X - 7 + 7 = 5 + 7

3X = 12

divide both sides constants and coefficients by 3

X = 4

check

3(4) - 7 = 5

12 - 7 = 5

5 = 5

checks

Well, darling, "C 54 w a y" doesn't make a lick of sense. It seems like a jumble of letters and numbers that got lost on its way to a crossword puzzle. If you need help with something that actually exists in this universe, I'm all ears.

Oh, dude, you're hitting me with some math lingo! So, when you see X to the power of 2 plus Y to the power of 2, you're basically looking at X squared plus Y squared. It's like those little numbers are getting all squared up and ready to party together in a math equation.

Because you are just adding the same variable to itself, the variable does not change.

in the same way that 2 + 2 is 4, 2x2 + 2x2 is 4x2.

Well, honey, to factor that little equation C squared plus C minus 56, you're gonna want to break out the ol' quadratic formula. Factor that bad boy into (C + 8)(C - 7) and call it a day. Trust me, it's as easy as stealing candy from a baby.