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MATH TEAM
oooooh yeahhhh
| Question | Answer |
|---|---|
| What's the formula for ARITHEMTIC SEQUENCE? | term you want (an)= Starting term (a1) + (n-1)d |
| What's the formula for finding the SUM of nth terms in a SEQUENCE? | Sn = (n/2) * (2a + (n-1)d) |
| What's the formula for GEOMETRIC MEAN? | mean = sqroot (thing x thing) |
| Whats the formula for GEOMETRIC SEQUENCE? | an=a1(r)^(n-1) |
| What is special about logs of the same BASE that are set equal to each other? | Their equations can ALSO be set equal to each other! |
| True or false: The equation within a logarithim can be negative. | True |
| What's the formula for consequtive ODD integers? | 2n + 1, 2n +3....etc ORRR n-2, n, n+2 |
| What's the formula for consecutive EVEN integers? | 2n + 2, 2n + 4...etc |
| How do you find the distance of PARALLEL LINES? | distance= Iy intercept 1 - y intercept 2I/ sqr(1 + slope^2) |
| How do you find the INVERSE of a function? | Step 1: write f(x) as y. Step 2: y=equation. Then swap x and y and solve for Y. That's your INVERSE equation. |
| How do you find the MAX value of a line? | Step 1: solve for Y. Step 2: set product nessecary equal to y equation (times nessecary numbers). Step 3: Will get a parabola and find manixmum |
| How do you find the MAX/MIN of a PARABOLA? | Look at the k value in vertex form. |
| How do you put a PARABOLA into VERTEX FORM? | Complete the square |
| Show an INVERSE relationship alegbraically? | y=kx (k is a constant, x and y are inverses) |
| Show a JOINT relationship alegbraically? | A joint relationship in algebra means one variable is proportional to the product of two or more other variables. SOOO y=kxz. Y varies jointly with X and Z. |
| What's a DOUBLE ROOT? | s a root that appears twice in the solution of an equation, or in other words, a root with a multiplicity of 2. It means that the solution is repeated, and when graphed, the function will "bounce" off the x-axis at that point rather than crossing it. |
| What does it mean if a number is in base 10? | That each number in that position is equivalent to the number times 10. |
| what will the dimensions of two matrices multiplied together be? | number of rows in first matrix and number of columns in second matrix |
| How do you multiply two matrices together? | Add together each term in first row multiplied by each term in second matrices columns and keep working |
| how do you find the inverse of a matrix? | Swap everything in the 2x2 diagonally, and make the second on in the row 1, and first one in row 2 negative. |
| What's the determinant of a two by two matrix? | ad - bc |
| What's the CHANGE OF BASE FORMULA for logs? | log(big number)/log(base) |
| Whats the permutation formula (order matters)? | P(n,r) = n! ÷ (n-r)! (n= total objects, r=objects selected) |
| How do you find the coefficient in a problems terms? | Step 1: Make binomial. 2: Use (x+y)^n= sig(nCK)x^(n-k)xy^k, where K is range of terms. 3: Theyre symmetric so do a permutation for each number to grab, and there's only 3. Then do permutation. Furtherest from range is smallest |
| How do you plot a COMPLEX NUMBER on the graph? | Integer= x. Y axis= the number with I, but just low-key ignore the I. |
| What's the COMBINATION formula? | nCr = n! / (r! * (n-r)!) |
| What's the relationship between the tangent of a circle and an extended chord of a circle? | outside extended chord x inside extended chord= tangent ^2 |
| How to simplify I values? | Divide exponent by 4. If remainder is 1, then exponent=1. If remainder is 1, then is I. If 2 then -1. And if 3 then -i. |
| How do you complete the square? | 1-make leading coeff 1. Then y= (x + b/2)^2 - (b/2)^2 |
| What's the determinant of a parabola? | b^2 - 4ac. If answer pos= 2 solutions. 0=1 solution, Neg=none. |
| How do you find the reciprocal of an imaginary expression? | (a - bi)/(a^2 + b^2) |
Created by:
razawisza