Calculus

A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.

Oh, dude, you're hitting me with some math here. So, when you multiply 2x squared by 3x squared, you just multiply the numbers (2 * 3 = 6) and add the exponents (2 + 2 = 4), giving you 6x to the power of 4. It's like algebra on steroids, man.

Assuming one number is counted per second without breaks, it would take 2000 seconds to count to 2000. This is because each number is counted sequentially, with each number taking one second to say aloud. Therefore, it would take a little over 33 minutes to count to 2000.

A pro for solving equations through graphing can allow one to visualize problems which can allow one to make better sense to the problem. However, fractions, and decimals can be very difficult to plot accurately. Furthermore, solutions could fall outside of the boundaries of a graph making them impossible to see with a graph.

A pro for solving equations through either the methods of substitution and elimination allow one to achieve an exact answer regardless of fraction, decimal, or integer. However, by using these methods one will have a more difficult time with visualization without the use of a graph.

x + x = 2x. Similarly, x^3 + x^3 = 2(x^3)

The equation "1/2x^2 = x" can be rewritten as "x^2 - 2x = 0" by multiplying both sides by 2 to eliminate the fraction. This equation can be factored as x(x-2) = 0, leading to solutions x=0 and x=2. Therefore, the values of x that satisfy the original equation are x=0 and x=2.

When you multiply a number by its reciprocal, the result is always 1. Therefore, x times x to the power of -1 is equal to 1. This can be understood by applying the rule of exponents that states x^(-1) is the same as 1/x. So, x * (1/x) = 1.

The integral of sec(x) with respect to x is ln|sec(x) + tan(x)| + C, where C is the constant of integration. This result can be derived using integration techniques such as substitution or integration by parts. The integral of sec(x) is a common integral in calculus and is often used in trigonometric integrals.

Any number multiplied by zero will always be zero !

3x + 6y + 6x = 9x + 6y which can be factorised as 3(3x +2y)

Oh, dude, you're hitting me with some math now? Alright, so the answer to cosx divided by x is technically (1/x) * cosx. But like, who really cares about math when you could be watching cat videos on the internet, am I right?

Well, darling, when you divide x to the power of 8 by x squared, you subtract the exponents. So, x to the power of 8 divided by x squared is x to the power of 8 minus 2, which simplifies to x to the power of 6. So, there you have it, x to the power of 6 is the sassy answer you're looking for.

7 groups of 7

times table for 7s

7 x 1 = 7

7 x 2 = 14

7 more and more and more. answer: 7 x 7 = 49

90/4 = 22.5 or 22 1/2

YES!!!

When neither 'x' nor 'y' are taised to any power/index/exponent. then it is a linear equation.

3x = 5y

5y = 3x

Divide both sides by '5'

y = (3/5)x + 0

In other words it is a straight line, through the origin (0,0) of gradient '3/5'.

"36 I in a Y" is a cryptic way of expressing the phrase "36 inches in a yard." This is a conversion factor used in the United States customary system of measurement, where 1 yard is equivalent to 36 inches. It is important to understand these conversion factors when converting between different units of measurement to ensure accuracy in calculations.

Well, sweetheart, it's not rocket science. To make a plus sign on a TI-84 calculator, you simply press the "+" key. And to make a minus sign, you press the "-" key. It's as easy as pie, so go ahead and crunch those numbers with confidence.

Well, isn't that a happy little question! When you divide 11 by another number, it's like sharing a big, beautiful cake into equal slices. In this case, 11 can be divided by numbers like 1, 11, and even itself, creating a sense of harmony and balance in the mathematical world. Just remember, no matter how you divide it, each slice is special and important in its own way.

No, -4 is not a solution to the inequality x ≥ 4. In order for -4 to be a solution, it must make the inequality true when substituted for x. Since -4 is less than 4, it does not satisfy the condition of being greater than or equal to 4. Therefore, -4 is not a solution to the inequality x ≥ 4.

36 and 49

To find the product of x squared and 2x squared, you multiply the coefficients (2 and 1) to get 2, and then add the exponents of x (2 and 2) to get x to the power of 4. Therefore, x squared times 2x squared is equal to 2x^4.

Oh, infinity is a magical concept that goes on forever, like the happy little trees in our paintings. It doesn't have a specific number of zeros because it's not a number we can count like 1, 2, 3. Just remember, in the world of art and numbers, there's always room for infinite possibilities and creativity.

Well, darling, the square root of x to the fourth power is simply x squared. It's like asking how many slices of cheesecake you can fit in your mouth at once - the answer is two, unless you're feeling extra ambitious. Just remember, math may be complex, but dessert is always a simple pleasure.

"0" has both horizontal and vertical symmetry.

"2" is not symmetrical.

"3" has horizontal symmetry.

"4" is not symmetrical.

"5" is not symmetrical.

"6" is not symmetrical.

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