The graph of y = px + qx 2 passes through the point (3, 15). Its gradient
Question:
The graph of y = px + qx2 passes through the point (3, −15). Its gradient at that point is −14.
a. Find the values of p and q.
b. Calculate the maximum value of y and state the value of x at which it occurs.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 36% (11 reviews)
a Given y pxqx 2 passing through the point 3 15 15 3p q 3 2 15 ...View the full answer
Answered By
Heart Pecson
I have been giving online / offline tution since 2014-2019. I have also cleared csir net-jrf (Mathematical science) with AIR164.
I have good knowledge of mathematics. Ability to work well with range of people.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
Question Posted:
Students also viewed these Sciences questions
-
The point (-12, 4) is on the graph of y = f(x). Find the corresponding point on the graph of y = g(x). (a) g(x) = 1/2 f(x) (b) g(x) = f(x - 2) (c) g(x) = f(-x)
-
Find all points on the graph of y = 100/x5 where the tangent line is perpendicular to the line y = x.
-
Find all points o the graph of y = x2 / 4 (a) where the tangent line is parallel to the line y = x and (b) where the normal line is parallel to the line y = x?
-
The following data applies to the two unrelated companies Lloyd Ltd and Cole Ltd: All taxable and deductible temporary differences relate to the profit or loss. Assume a corporate tax rate of 30%. A....
-
Using solubility rules, predict the solubility in water of the following ionic compounds. a. Al(OH)3 b. Li3P c. NH4Cl d. NaOH
-
The Mawn Company bought land and built a warehouse during 2007. It debited the following related costs to an account titled Land and Buildings: Land purchase ......................$22,000 Demolition...
-
Collaborative Learning Assignment: Variable and Absorption Costing Form groups of four persons each. Each person should select one of the following four roles (if groups have between four and eight...
-
Enter the following column headings across the top of a sheet of paper: Transaction/ Current Current Long-Term Net Adjustment Assets Liabilities Debt Income Enter the transaction/adjustment letter in...
-
2. Langton Inc. is considering Projects S and L, whose cash flows are shown below. These projects are mutually exclusive, equally risky, and not repeatable. If the decision is made by choosing the...
-
What are the possible values of n and m if (a) = 3, (b) = 4, and (c) = 0?
-
A curve has the equation y = 1.5x 3 3.5x 2 + 2x. a. Show that the curve passes through the points (0, 0) and (1, 0). b. Find the equations of the tangents and normals at each of these points. c....
-
A curve has the equation y = sin x cos x where x is measured in radians. a. Show that the curve passes through the points (0, 1) and (, 1). b. Find the equations of the tangents and normals at each...
-
Show that if the units of rate are mol L 1 s 1 , then the units of the rate constant for the following second-order reaction are L mol 1 s 1 : H(g) + Br(g) 2 HBr rate= k [H][Br]
-
! Required information [The following information applies to the questions displayed below.] Littleton Books has the following transactions during May. May 2 Purchases books on account from Readers...
-
4) Consider the table to the right that shows the number of free samples () and number of protein shakes sold (y). a)Complete the table [3 marks] b) Find the equation of the line of best fit X x y 8...
-
Determine the mean number of credit cards based on the raw data. (b) Determine the standard deviation number of credit cards based on the raw data. (c) Determine a probability distribution for the...
-
B Harry is a county Department of Social Services worker whose clients consist primarily of poor, female-headed families receiving public assistance. During one of his meetings with Dora, a single...
-
1 A, Weakly coupled carts (20 points) m m2 Figure 1: A system of two masses and three springs. A symmetric two degree of freedom system consists of two identical rigid masses m = m = m pictured in...
-
Key comparative figures for Apple and Google follow. 1. What is the debt ratio for Apple in the current year and for the prior year? 2. What is the debt ratio for Google in the current year and for...
-
What do you think?
-
The distance between two points P(6, -2) and Q(2a, a) is 5. Find the two possible values of a.
-
The diagram shows a trapezium ABCD with vertices A(11, 4), B(7, 7), C(-3, 2) and D. The side AD is parallel to BC and the side CD is perpendicular to BC. Find the area of the trapezium ABCD. (7, 7)...
-
The table shows experimental values of the variables x and y. The variables are known to be related by the equation y = kx n where k and n are constants. a. Draw the graph of lg y against lg x. b....
-
THIS IS ONE QUESTION WITH TWO PARTS. PLEASE ANSWER COMPLETELY AND SHOW ALL WORK. (NO EXCEL) Information for Question 1: State Probability Retum on A Return on B Return on C Retum on Portfolio X Boom...
-
Direct materials (5.0 Ibs. @ $5.00 per Ib.) Direct labor (2.0 hrs. @ $13.00 per hr.) Overhead (2.0 hrs. @ $18.50 per hr.) Total standard cost $25.00 26.00 37.00 $88.00 The predetermined overhead rate...
-
Problem 1-28 (Algo) (LO 1-4, 1-5, 1-6b 1-7) Harper, Inc., acquires 40 percent of the outstanding voting stock of Kinman Company on January 1, 2020, for $316,100 in cash. The book value of Kinman's...
Study smarter with the SolutionInn App