1. Factor a trinomial whose leading coefficient is 1. Pick any one of the problems and solve the trinomial. If the trinomial is prime, state this and explain why. a. x2+8x+15 b. x2–4x –5 c. x2–14x+45 2.
c. Find the coordinates of the foci. d. Graph the ellipse. Label the center and foci. Answer: a) Given equation of ellipse. On comparing this equation with standard equation of ellipse with centre (h,k) which is given by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5.
What value is stored in uninitialized variables? An uninitialized variable is by default a 0. Algorithm Workbench 3-10 3. Write assignment statements that perform the following operations with the variable a, b and c. a) Adds 2 to a and stores the result in b. { b = 2 + a } b) Multiplies b by 4 and stores the result in a.
Your balloon powered car demonstrates Newton's 3rd law of motion. Newton's third law states that every action has an equal and opposite reaction. When the air from the balloon goes through the straw, it carries a force. The direction of this force is in the direction of the flow of the air, in your case, to the back of the car. This is force is 'action'.
Use the commutative and associative laws to write at least three expressions equivalent to (3x)y. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 94 3C • b Properties of Real Numbers Use the commutative and associative laws to find equivalent expressions. Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 95 3C Properties of Real Numbers Use the distributive laws to multiply expressions like 8 and x – y. Consider a multiplication problem from arithmetic: To carry out the multiplication, we actually added two products. That is, Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 96 3C Properties of Real Numbers Use the distributive laws to multiply expressions like 8 and x – y. Compute in two ways: Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 97 3C Properties of Real Numbers The Distributive Law of Multiplication over Addition Copyright 2011, 2007, 2003, 1999 Pearson Education, Inc. Slide 98 3C Properties of Real Numbers The Distributive Law of Multiplication over
Answer: The function has one appropriate x value for each each y value, you can test this legitimacy by performing the straight line test on a graphed version of the function. 4. Using your function, explain to the Martians how to solve for f(3). Show your work and explain each step using complete sentences. Answer: First, replace the shown x in the equation with 3.
1-7: Explicit Formulas for Sequences. 1-8: Recursive Formulas for Sequences. 1-9: Notation for Recursive Formulas, Projects, Summary and Vocabulary, Progress Self-test, Chapter Review. Lesson 1-1. The Language of Algebra.
18. How many solutions to a system of equation is represented by each graph? a. b. c. d. 19. Determine the domains of the piecewise functions. Put your answer in interval
Select One Possible Answer: 1). eager, 2). envious, 3). extremist, 4). jealous Question 8 Rearrange the following digits to make the smallest possible number: 0,7,2,8,5.
Mathematical Relationships The relationship between acceleration, velocity and distance will help us to model the performance of the car. Relation of force (N) to mass (kg) and acceleration (m/sec2): Relation of velocity (m/sec) to acceleration (m/sec2): Relation of distance (m) to velocity (m/sec): Drag and Wind resistance The effect of wind resistance will be modelled as the additional force which takes effect at velocities greater than v1. According to the equation Fd = Fd0 (1 + b(v �� v1)2) the drag force will increase for velocities v > v1. In this case study there will be a low velocity drag force acting on velocities 20 m/s or less and an