Miscellaneous
5y = 4 + 3x3
It is non-linear, because the "x" is cubed.
Simplify.
square root of -99
3i square root of 11
Solve Absolute Value.
5 − 8 l−2nl = −75
n = 5
n = -5
Solve.
x2 + 14x + 33 = 0
x = -11
x = -3
5n2_3n7+2n+8
What is the degree?
What is the leading coefficient?
Degree: 7
Leading coefficient: -3
Describe the transformation:
What is the parent function?
What happened to the graph? g(x) = ( x + 2 )2 - 4
Parent function: y = x2
The graph moved 2 units left, and 4 units down.
Solve the equation.
5x2 + 45 = 0
x = 3i and x = -3i
Solve.
10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)
p = 0
Solve.
124 = x2 + 3
x = -11
x = 11
Add the polynomials:
(6x3+7x2-2x+5) + (x3-4x2-8x+1)
7x3+3x2-10x+6
Solve each system:
y = -6x + 2
y = -6x - 1
No solution, the slopes are the same so they are parallel.
Simplify.
(8 + 3i) - (6- 2i)
2 + 5i
Solve the inequality.
x + 1 + 1 + 6x > 3(x − 4) − (x − 4)
x > -2
Solve.
81x2 + 36x = -4
x = -2/9
Subtract the Polynomials:
(5x3+3x2-5x-1) - (7x3+x2+6x-4)
-2x3+2x2-11x+3
What is the end behavior of an even degree and negative leading coefficient?
As x approaches negative infinity, f(x) approaches negative infinity.
As x approaches positive infinity, f(x) approaches negative infinity.
Simplify.
(4 - 2i)(1 -2i)
-10i
Solve the Literal Equation. Solve for "L".
P = 2L + 2W
L = P - 2 divided by 2
OR
L = P/2 - W
64x2 = -49
x = 7/8i
x = -7/8i
Multiply Polynomials:
(6k2-3k+5)(8k2-3k+3)
48k4-42k3+67k2-24k+15
Mr. Griffin is selling tickets to the annual school talent show. On the first day of ticket sales, Mr. Griffin sold 1 senior citizen ticket and 8 student tickets for a total of $90. Mr. Griffin took in a total of $220 on the second day by selling 14 senior citizen tickets and 8 students tickets. What is the price of one student tickets and one senior citizen ticket?
senior citizen ticket: $10
students tickets: $10
Simplify. (Hide: complex conjugates!)
(-10 - 5i) / (-6 + 6i)
2 + 5i / 4
Write an equation of the line through the given points:
(1, -3) and (0, -4)
y = x - 4
Solve.
5x2 + 8x + 11 = 0
-4 + i√39/ 5
Divide Polynomials:
(3z5 + 5z4+ z +5) / (z + 2)
3z4 -z3+ 2z2 -4z +9 - 13/z+2