Podcast
Questions and Answers
Select all of the irrational numbers.
Select all of the irrational numbers.
- √2 (correct)
- √34 (correct)
- π (correct)
- All of the above
Which inequality and graph represent all possible solutions of: |−3x|≤6?
Which inequality and graph represent all possible solutions of: |−3x|≤6?
{-2≤x≤2}
What is the probability of tossing heads using Jeff and Kevin's results?
What is the probability of tossing heads using Jeff and Kevin's results?
11/20
What is the correct solution mentioned in the problem?
What is the correct solution mentioned in the problem?
Select all sets of numbers that √31 belongs to.
Select all sets of numbers that √31 belongs to.
What is the value of 1/6 ÷ (-3/18)?
What is the value of 1/6 ÷ (-3/18)?
What is the value of 4(3h-6)/1+h for h = -2?
What is the value of 4(3h-6)/1+h for h = -2?
What is the opposite and the reciprocal of 500?
What is the opposite and the reciprocal of 500?
What is the solution to 3y+20= 3+2y?
What is the solution to 3y+20= 3+2y?
What does the graph represent for: −6≤2x≤6?
What does the graph represent for: −6≤2x≤6?
Which points represent the graph for y = 2x + 1?
Which points represent the graph for y = 2x + 1?
What is the slope of the line represented by the equation 3x + 5y = -15?
What is the slope of the line represented by the equation 3x + 5y = -15?
Choose the set of ordered pairs that represents a function.
Choose the set of ordered pairs that represents a function.
Which ordered pair is a solution to the equation represented by the graph?
Which ordered pair is a solution to the equation represented by the graph?
What is the slope of the line passing through the points (-8,3) and (-7,-5)?
What is the slope of the line passing through the points (-8,3) and (-7,-5)?
Select all true statements about the graph.
Select all true statements about the graph.
What are the slope and y-intercept of the line given by 12x - 4y = -96?
What are the slope and y-intercept of the line given by 12x - 4y = -96?
What is the vertex of the equation y = |x + 2| - 4?
What is the vertex of the equation y = |x + 2| - 4?
What is the y-intercept of the line 9x + 6y + 1 = 0?
What is the y-intercept of the line 9x + 6y + 1 = 0?
What is the solution set for the system of equations: x + 2y + z = 5, 2x - 6 + 5z = 3, x + 3z = 3?
What is the solution set for the system of equations: x + 2y + z = 5, 2x - 6 + 5z = 3, x + 3z = 3?
What is the solution set for the equations: x - y + z = -1, x + y + 3z = -3, 2x - y + 2z = 0?
What is the solution set for the equations: x - y + z = -1, x + y + 3z = -3, 2x - y + 2z = 0?
What is the solution set for the equations: 6x + y = 7, x + 12y = 13?
What is the solution set for the equations: 6x + y = 7, x + 12y = 13?
What is the solution set for the equations: 2x + 3y = 12, 3x + 4y = 17?
What is the solution set for the equations: 2x + 3y = 12, 3x + 4y = 17?
What is the solution set for the system of equations: x + 2y + z = 4, 2x - y + 4z = -8, -3x + y - 2z = -1?
What is the solution set for the system of equations: x + 2y + z = 4, 2x - y + 4z = -8, -3x + y - 2z = -1?
What is the solution set for the equations: 5z + 4y = 4, 3x - 2y = 0, x + 3z = -8?
What is the solution set for the equations: 5z + 4y = 4, 3x - 2y = 0, x + 3z = -8?
What is the solution set for the equations: 4x - y + z = -5, -x + y - z = 5, 2x - z - 1 = y?
What is the solution set for the equations: 4x - y + z = -5, -x + y - z = 5, 2x - z - 1 = y?
What is the solution set for the equations: 2x + 7y = 15, 3x - 6y = 6?
What is the solution set for the equations: 2x + 7y = 15, 3x - 6y = 6?
What is the solution set for the equations: x - y + z = -1, x + y + 3z = -3, 2x - y + 2x = 0?
What is the solution set for the equations: x - y + z = -1, x + y + 3z = -3, 2x - y + 2x = 0?
What is the answer to the video game word problem?
What is the answer to the video game word problem?
Identify the vertex and the y-intercept of the function y = -3(x + 2)^2 + 5.
Identify the vertex and the y-intercept of the function y = -3(x + 2)^2 + 5.
Write in the vertex form: y = 2x^2 + 12x + 8.
Write in the vertex form: y = 2x^2 + 12x + 8.
What is the vertex and y-intercept of the function y = 2(x - 2)^2 - 4?
What is the vertex and y-intercept of the function y = 2(x - 2)^2 - 4?
Factor the expression: -15x^2 + 15x + 20.
Factor the expression: -15x^2 + 15x + 20.
Select an equivalent expression to x^2 + 10x + 16.
Select an equivalent expression to x^2 + 10x + 16.
Select an expression equivalent to 3x^2 + 14x + 16.
Select an expression equivalent to 3x^2 + 14x + 16.
Write 3 + √-49 in the form of a + bi.
Write 3 + √-49 in the form of a + bi.
Write -3 - √-180 in the form of a + bi.
Write -3 - √-180 in the form of a + bi.
Find the absolute value of |-5 + i|.
Find the absolute value of |-5 + i|.
Simplify (3i)(-i).
Simplify (3i)(-i).
Given the function y = 2x^2 - 8x + 4, find the y-intercept and the vertex.
Given the function y = 2x^2 - 8x + 4, find the y-intercept and the vertex.
Enter the value equivalent to (-3 + 4i) - (2 + 6i).
Enter the value equivalent to (-3 + 4i) - (2 + 6i).
Simplify (-4 - 4i)(3 + 2i).
Simplify (-4 - 4i)(3 + 2i).
Indicate whether the equation 5/20x = 1/4x has solutions.
Indicate whether the equation 5/20x = 1/4x has solutions.
Indicate whether the equation 3x = 4x + 5x has solutions.
Indicate whether the equation 3x = 4x + 5x has solutions.
Indicate whether the equation √2x + 3 + 6 = 0 has solutions.
Indicate whether the equation √2x + 3 + 6 = 0 has solutions.
How long will it take the stone to hit the ground as modeled by y = −16t^2 + 358?
How long will it take the stone to hit the ground as modeled by y = −16t^2 + 358?
Flashcards are hidden until you start studying
Study Notes
Irrational Numbers
- Examples include √2, √34, and π.
- √31 belongs to irrational and real numbers.
Inequalities
- The inequality |−3x|≤6 translates to the solution set {-2≤x≤2}.
- The graph for −6≤2x≤6 corresponds to {-3≤x≤3}.
Probability
- The probability of tossing heads, based on Jeff and Kevin's coin toss results, is 11/20.
Mistakes in Solutions
- In a multi-step problem, the first mistake occurs in step 1; the correct solution is 7.
Algebraic Evaluations
- The value of 1/6 ÷ (-3/18) is -1.
- For h = -2 in the expression 4(3h-6)/(1+h), the result is 48.
Opposites and Reciprocals
- The opposite of 500 is -500, and the reciprocal is 1/500.
Graph Representations
- The graph of the equation y = 2x + 1 passes through points (-1,0) and (0,2).
- The slope of the line defined by 3x + 5y = -15 is -3/5.
Function and Ordered Pairs
- The ordered pairs {(-3,-5), (-5,-3), (-7,-7)} represent a function.
- The ordered pair (0,-1) is a solution to the equation represented by the graph.
Slope Calculations
- The slope of the line through points (-8,3) and (-7,-5) is -8.
- For the equation 12x - 4y = -96, the slope is 3 and the y-intercept is 24.
Vertex and Intercepts
- The vertex of y = |x+2| -4 is at (-2,-4).
- The y-intercept of 9x + 6y + 1 = 0 is -1/6.
Systems of Equations Solutions
- For x + 2y + z = 5, 2x - 6 + 5z = 3, x + 3z = 3, the solution set is (0, 2, 1).
- The systems of equations yield solutions (4,2,-3), (1,1), and (3,2) for other specified sets.
Polynomial Factoring and Forms
- Vertex form of the polynomial y = 2x² + 12x + 8 is y = 2(x + 3)² - 10.
- (x^2 + 10x + 16) can be factored to (x+2)(x+8) and (3x^2 + 14x + 16) to (x+2)(3x+8).
Complex Numbers
- Convert 3 + √-49 to the form a + bi gives 3 + 7i.
- Simplifying -3 - √-180 results in -3 - 6i√5.
Absolute and Imaginary Values
- The absolute value of |-5 + i| is √26.
- Simplifying (3i)(-i) results in 3.
Graph Heights and Time
- In the function y = −16t² + 358, it models the height of a stone dropped from a cliff. The time to hit the ground can be calculated using a quadratic equation setup.
Solutions Types for Equations
- The equation 5/20x = 1/4x has infinitely many solutions.
- The equation 3x = 4x + 5x has one real solution.
- The equation √(2x+3) + 6 = 0 has no real solutions.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
