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25. Below is a trapezoid ABCD, use it to answer the questions that follow. (a) Find the length DC. (3mrks) (b) Calculate the area of the trapezoid. (2marks)
Solve -24 < 2p - 4 ≤ -10. For full points, you must have 3 things: 1. Your solution with step-by-step work. (You can submit an image of your work after the test) 2. Your solutio...
A new planet is discovered that has twice the Earth’s mass and twice the Earth’s radius. On the surface of this new planet, a person who weighs 500 N on Earth would experience a...
Solve |6 - 4x| ≤ 2. For full points, you must have 3 things: 1. Your solution with step-by-step work. (You can submit an image of your work after the test) 2. Your solution in i...
The solution of |2x - 1| < 7 is an open interval. What is its upper boundary? Enter a number only.
Solve 3|2x + 4| - 5 > 1. For full points, you must have 3 things: 1. Your solution with step-by-step work. (You can submit an image of your work after the test) 2. Your solution...
51. Either: (a) What term is used to mean a set of religious beliefs? (b) Write any two fundamental Christian beliefs. (c) Give one way in which beliefs affect the life of a Chr...
1. Go to choosemyplate.gov 2. Click "Explore my plate" 3. Scroll down and click on one of the food groups 4. Scroll down to the first paragraph and click "My plate plan" 5. Clic...
15. There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8 do not have a speakin...
A line passes through the points in this table. | x | y | |----|----| | -2 | -11| | 5 | 10 | | 12 | 31 | | 19 | 52 | What is the slope of the line? Write your answer as an integ...
17. Evaluate the expression when x = 2, y = -3, and z = -1 2x + 3y - z A. 4 B. 14 C. 5 D. -4 18. 25x^2 - 36 A. (25x + 1)(x - 36) B. (5x - 6)^2 C. (5x + 6)^2 D. (5x - 6)(5x + 6)
Select all the statements that are true about a linear relationship that is also a proportional relationship. The graph passes through the origin. The graph does not pass throug...
Determine whether each pair of ratios forms a proportion. 1. 17/10 = 12/5 2. 6/9 = 12/18 3. 8/12 = 10/15 4. 7/15 = 13/32 5. 7/9 = 49/63 6. 8/24 = 12/28 7. 4/7 = 12/71 8. 20/35 =...
The points (80, 20) and (120, 30) form a proportional relationship. What is the slope of the line that passes through these points?
5. a. Sketch the graph of y = |2x + 4| for -6 < x < 2, showing the coordinates of the points where the graph intersects the axes. b. On the same diagram, sketch the graph of y =...
An object has a weight W when it is on the surface of a planet of radius R. What will be the gravitational force on the object after it has been moved to a distance of 4R from t...
PART A — WORD BREAKDOWN For each word, identify the word parts, explain what they mean, then predict the whole word's meaning. WORD unhelpful rebuild careless preview constructi...
2. Which type of function would best model the data below? x | 5 | 7 | 8 | 11 | 13 | 14 | 17 | 19 | 20 f(x) | 2 | 6 | 7 | 4 | 2 | 2 | 3 | 5 | 9
6. If \( f(x) = 5x - 4 \) and \( f(4a) = 80 \), then what is the value of \( a \)?
Write a function in any form that would match the graph shown below.
What is the slope of the line that passes through the points (10, 8) and (7, 14)? Write your answer in simplest form.
Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.
9. Find the remainder when \( f(x) = x^6 + 5x^2 - x^3 + x - 6 \) is divided by \( (x + 1) \).
Check if each of the following is a function: 1. Mapping diagram with Input: -2, 0, 1 and Output: -1, 0, 2, 3 2. Table with x: -1, 0, 1, 2 and y: 0, 2, 4, 8 3. Set of ordered pa...
#2 Select the correct x-values that make this relation a function:
Linear Regression Model: y = x + Rate of Change: Y-intercept: Predict the price of a ticket if you are driving 85 mph. What is slope in context? Y-intercept in context R value
#3 Determine if the relations below are functions and label them correctly: x 2 3 5 7 10 y 0 2 -1 -3 -1 {(-2,0), (1,0), (5,0), (8,0)}
#5 Select the Domain and Range for the equation and graph shown below: y = -2x + 3 Domain: Range: Domain: Range:
What is the probability that a color-blind woman who marries a man with normal vision will have a color-blind child?
Expand and simplify: a) (x + 6)(x - 5) [2 marks] b) (2x - 1)(x + 9) [2 marks] c) (4y + 5)^2 [2 marks]
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