Tutor profile: Breanna E.
Subject: Basic Math
In this example we will use order of operation (PEMDAS). The first rule in the order of operations is to solve what is in the parenthesis first: 5*3+(6-2) (6-2)=4 5*3+4 There are no exponents in this equation so are next order of operations is multiplication: 5*3+4 5*3=15 15+4 Since there is no division, our final step is addition. 15+4=19. The solution is 19.
Determine all root values for the equation f(x)= x^5-4x^4-32x^3
For the function f(x). first simplify the equation by factoring out common variables. In this example the common variable would be x^3 since each component contains at least x^3. This simplifies the equation to: f(x)= (x^3)(x^2-4x-32). for the function to be equal to 0, one or both parts of the function has to be equal to zero. The first component of the equation x^3 can only be 0 when x=0. this gives us our first root value. The second function requires more work and can be done in multiple ways. For this example I will reverse the foil method. x^2-4x-32=0 (x-8)(x+4)=x^2-4x-32 in order for the second component to be 0, x has to be either 8 or -4. This gives us a total of 3 root values: x=0 x=-4 x=8
2x=10-3x. Find x.
First we collect like terms. Like terms are those that share a variable. In this example x is your variable so we combine 2x and 3x. To do this we will both components contain the x variable to the side. to do this you will need to add 3x to both sides and simplify by adding the coefficients: 2x+3x=10-3x+3x 2x+3x=10 5x=10 to determine the value of x you divide both sides by 5 and simplify. 5x/5= 10/5 x=2 (solution)
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