What is the answer to
|4 - 20| - 5
11
Use the matrix below to determine what y is equal to.
Double Points if you can determine what form the matrix is in!!!
y = 8
(The matrix is in reduced row echelon form)
Label the real part and the imaginary part of the following complex number:
z = 8 - 12i
Re(z) = 8
Im(z) = -12
What is the vertex of the quadratic equation below?
y = 3(x + 2)2 + 7
(-2, 7)
Is the function below one-to-one? You must justify your answer to receive points.
The function is NOT one-to-one because it fails the horizontal line test
What is the solution set to the equation below:
|x| = 6
{-6, 6}
Write the below system as an augmented matrix:
Evaluate (6 + 2i) - (4 - 3i)
2 + 5i
Convert the quadratic equation below to standard form:
y = (x - 1)2 + 5
y = x2 -2x + 6
What type of transformation is shown below? (The dotted function is the pre-image, the solid function is the image).
Double points if you can conclude what a values are possible for the functions equation!!
The transformation shown is a vertical stretch.
Any values where a > 1
What is the absolute value equation that measures the distance between x and 4.
Double points for including a graph of the equation!!!
What is y = |x - 4|.
(1, 4)
What is i50
-1
What are the solutions to the following quadratic equation:
y = x2 + 18x + 80
x = {-8, -10}
What is the inverse of the following function:
f(x) = 3x + 1
f-1(x) = (x - 1)/3
Use the table below to find the vertex of the absolute value function.
Double points if you can write the entire equation from the table!!!
Vertex: (-2, 6)
y = 3|x + 2| +6
How many solutions does the matrix below have?
Infinitely many solutions!
How could we change the matrix to make it so there are NO solutions?
Evaluate (9 + i)(3 + 4i)
23 + 39i
Convert the equation below from standard form to vertex form by completing the square:
Double points if you can represent this with a visual!!!
y = x2 + 6x + 10
y = (x + 3)2 + 1
Let f(x) = 6x + 2 and g(x) = x2 + 1
What is f\circ g
f \circ g = 6x^2 + 8
Solve the below equation:
3|x + 2| - 1 = 8
x = {-5, 1}
What is the solution to the system below:
(-2, 5, 1)
i.e.
x = -2
y = 5
z = 1
Evaluate
3 + 2i
Calculate the discriminant of the following quadratic equation, then use your answer to determine how many real solutions the equation has:
y = 2x2 + 3x - 5
The discriminant is 49. Since 49 > 0 we know our solution set will consist of two real numbers.
Which of our three regression models that we've studied (linear, quadratic, or exponential) fits the data in the table below the best. Must justify answer to receive points.
The exponential model is the best fitting model because it produces the highest R2-Value.