105 Answered Questions for the topic Graphs
Suppose a nail is stuck in the tire of a bike wheel with a diameter of 65 of cm. Let H(t) be the height of the nail, in cm, after t seconds of travel.
Suppose a nail is stuck in the tire of a bike wheel with a diameter of 65 cm. Let H(t) be the height of the nail, in cm, after t seconds of travel.Determine the equation of the axis and explain... more
Use the graph of the function f to solve the inequality.
The points on the graph are (0,0) , (1,0) , (3,0)Arrows at the ends of the lines (infinity)a) The solution set for f(x) > 0 is (interval notation)b) The solution set for f(x)
A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m.
Question #1:Question #2:A highway tunnel has a shape that can be modelled by the equation of a parabola. The tunnel is 18 m wide and the height of the tunnel 16 m from the edge is 5 m.a) Determine... more
application problem with a linear function
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes ). When graphed, the function gives a line with a slope of -0.15. There is... more
Complete the square to put the quadratic in standard form...
f(x) = x2 + 2x -8Vertex:Concave:Y/X intercept:Domain/range:Increasing/decreasing intervals:Determine intervals where f(x) > 0 and where f(x) < 0
Finding local maxima and minima of a function given the graph
Here is a graph of the function g.Use the graph to find the following.If there is more than one answer, separate them with commas.A. All local minimum values of g;B. All values at which g has a... more
Composition of two functions: Basic
Suppose that the functions p and q are defined as follows.p(x) = −3x + 1q(x) =−5x - 1Find the following.(p times q)(-4) = ?(q times p)(-4) = ?
For what x-value in [-4,6] is the function undefined?
The points on the graph are: (-4,-3), (0,0), (2,-2), (4,0), and (6,2)The point (2,-2) is an open dot and the other points are filled dots. Does that mean (2,-2) is undefined?
Suppose that the functions P and Q are defined as follows.
P(x)= -3x+1Q(x)= -5x-1Find the following.(P×Q)(-4) = ?(Q×P)(-4) = ?
The graph of y=f(x) is shown below. Graph y=1/2f(x)
The graph has a y intercept of (0,3) and the slope is 1/2.
is a circle with the centre the origin. A tangent to C passes through the point (-20,0) and (0,10). Work out an equation of C. You must show all your working. how to get the full 5 marks.
How to get the full 5 marks and is the answer x^2 + y^2 = 100
Explain what `r(10)=30` means in this situation.
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice. The function `r`gives the remaining amount of rice, in kilograms, as a function... more
How to find the points of intersection between a circle and a parabola?
Use x(squared)+2y=12 and x(squared)+y(squared)=36 as an example. I've been trying to review for my finals and this is the topic that has been very challenging for me. Thank you!
Calculus Graphs: Please help me check if my answer is correct
The graph below shows the graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the correct statement? (4 points) A is f ', B is f, C is f ". I... more
Calculus graphs Double Prime, PLEASE HELP ASAP!
Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2. There are horizontal tangents at x = -1.5 and x = 1.5. Which of the following statements is... more
Solving a word problem using a system of equations of the form Y=Mx+b
Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1440 liters of water. Water is being added to the first pool at a rate of... more
Carbon-14 has a half-life of 5,730 years. A fossil is found that has 16% of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.)
Algebra 1 Translations on a coordinate plane
Coordinates of ABCA (-7,9)B (7,2)C (-2,-6)Translation vector (9,0) Coordinates of A'B'C( , )( , )( , )Translation vector (0,-12)Coordinates of A'B'C( , )( , )( , )Translation vector... more
Find the point where the graphs of f(x) and g(x) are tangent to each other
Find the point where the graphs of f(x)=x^3-2x and g(x)=0.5x^2-1.5 are tangent to each other (have a common tangent line)a) use knowledge of the derivative to solve this problem. Write out a... more
What is the answer to this Algebraic problem?
"Find the equation of the line perpendicular to Ax+By=C through the point (2,11)"I would really appreciate it if someone can answer this for me! I don't have a clue on how to even begin this... more
Changes to function rules on graphs
how would a graph of sin(x−h) differ from the graph of sin x? Or, how might the graph of a cos x differ from the graph of cos x?
Special Features of a Polynomial Graph
How important are the "special features" of a polynomial graph? When would you need to find all of the precise values of special features of the graph of a polynomial function? When would it be... more
End Behaviors of any Relation
Does the graph of any relation have end behaviors that can be described the same way as the end behaviors of a polynomial relation?
What is P(4 ≤ X ≤ 6)? Explain. If P(X ≤ a) = 0.2, what is a? Explain.
~Questions 1 & 2~Here is a Probability Distribution.Look at the image below to answer the question, please.Thanks in Advance! :)click on the link... more