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What is the domain of y x 4?
DomainFind the domain of y = x + 4Domain simply means "what numbers can I use for X that give me an answer for Y?"Domain is looking for the acceptable X values that work in the equation y = x +4When looking for the domain, the rule of thumb is:* No fraction? * No radical? (sqrt, cube root, etc) * No problems! If you don't see a fraction, or a radical, or both in your equation, the domain will always be "All real numbers". This means you can pick any number you want, plug it in for X, and you'll get an answer for Y.If you do happen to have a fraction, radical (or both)...----Think about what "breaks" a fraction. What makes a fraction not work?If you try to divide by 0, you get an error, or undefined on your calculator.for example:Find the domain of y = 1/(x -1)1/x is a fraction, and we know having a 0 on the bottom would make it not work.So what we do is say the domain is "all real numbers, except" and then find out what numbers break the function and fill that in later.We set the bottom of the fraction = 0 to find out exactly which numbers will break it, and then solve for X.x - 1= 0x = 1So we know that is we plug in a 1, it will break the fraction.The domain of y = 1/(x - 1) is "All real numbers, except 1"---- If you have a radical expression in your function:example. y = sqrt(x+2)We need to know what breaks a radical expression, what number(s) won't work?Well, sqrt(0) is OK. it = 0.sqrt(1) is ok, it = 1.But what happens if I try sqrt(-1). Try it on your calculator.You get an error message, right?This is because you cannot take the root of a negative number. (at least, not yet)This means, negative numbers break a function with a radical. So similarly to how we found the numbers that broke a fraction, we'll set what's inside the radical less than 0. Since negative numbers are less than 0.x + 2 < 0 and solve for xx < -2So any number less than -2 will break my radical.Your answer would be, "All real numbers >= -2" (since anything less than -2 is broken, but -2 is still OK)To check:y = sqrt( -2 + 2) = sqrt (0) = 0 - OKy = sqrt( -3 + 2) = sqrt(-1) - breaksI chose a number smaller than -2 to check.---- If you get a problem where they use both fractions AND radicals, just use both techniques.Ex: y = 1/sqrt(x + 2)We know that having a 0 on the bottom of a fraction breaks it, but it OK for a radical to have a 0 in it. We need to combine both rules together.Take the inside of the radical and set it less than(what breaks the radical) or equal to 0 (what breaks the fraction).x + 2
Why is calculus interesting?
Calculus is interesting because it is incredible that human intelligence has discovered a way to solve a problem using a formula that can be repeated. Calculus is not necessarily about the numbers, but about the fact that we can apply rules and theories to numbers in a variety of situations.
Integral of 1 divided by x cubed?
I will assume that this is sopposed to be integrated with respect to x. To make this problem easier, imagine that the integrand is x raised to the negative 3. The integral is 1/(-2x-2) plus some constant c.
What does x stand for in the problem 3x equals 96-75?
In 3x = 96 - 75 the "x" stands for the number which, when multiplied by 3, equals the difference between 96 and 75. 96 - 75 = 21 If 3x = 21 then x = 21 divided by 3, or 7
When you to be use problem solving method?
When you have a problem that you need to solve!
How do you make a fraction a deciamal?
Treat the fraction as a division problem and then solve it. For example, 1/2 would be treated as 1 divided by 2.
How is a division problem similar to a fraction?
A fraction is a division problem. The line in a fraction can be thought of as the words "divided by." 3/4 = 3 divided by 4
How do you change a fraction to a division problem?
an important lesson in mathematics is that the fraction bar is telling you to divide. for example, 2 over 4 is the same as 2 divided by 4.2- = 2÷44
Give the formula for converting fractions to decimals?
Look at the fraction as a division problem. Example: 1/4 is 1 divided by 4, which comes out as .25
How do you change a division problem into a fraction?
Fractions are division problems. The line in a fraction can be read as "divided by." 2/3 is actually 2 divided by 3.
What if the number does not go into 100 equally?
all numbers can go into 100 equally. For example, if the problem is 100 divided by 3, then the answer would be 33.33333333333
How do you turn a division problem into a fraction?
two divided by four = 2/4
What are the numbers in a division problem?
The dividend is divided by the divisor to get the quotient.
How you change a fraction to a percent?
A fraction is really just a division problem. For example, ¾ is the same as three divided by four and 3 / 4 = 0.75To change that result to a percent you simply multiply by 100: 0.75 x 100 = 75%
What is a fraction?
A fraction is a way of representing division of a 'whole' into 'parts'. The Numerator is the number of parts chosen, and the Denominator is the total number of parts. A fraction is a division problem, basically:½ means "one divided by two"¾ means "three divided by four"Another way of thinking of it is:½ "one of two pieces" and¾ "three of four pieces"it is 7.10
How do you write -60 divided by -8 as a multiplication?
-52
How do you convert 4.857 into a fraction?
The lowest terms fraction for this problem would be 4857/1000. Again in whole numbers that is.
