The curve y = x and the line 5y = x + 4 intersect at the points

Question:

The curve y = √x and the line 5y = x + 4 intersect at the points P and Q.

a. Write down an equation satisfied by the x-coordinates of P and Q.

b. Solve your equation in part a and hence find the coordinates of P and Q.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 24, 2021 12:26 AM

See More Questions

Write down an equation for the reaction of secondary butyl alcohol with Chromic Anhydride Reagent.
Write down an equation for the reaction of n-butyl alcohol with Chromic Anhydride Reagent. (The reagent = CrO3 + H2SO4)
Write down an equation for the reaction of tertiary butyl alcohol with concentrated hydrochloric acid.
What is the VaR Controversy? Define and discuss Value-at-Risk. How is VaR used to limit risk? How does the Monte Carlo Approach operate? What are some of the pros and cons of the different...
Come up with an explanation as to why radiation is easily blocked by materials such as a piece of wood, whereas radiation easily passes through those same materials.
Assume there are initially 10 firms, each with a 10 percent market share. a. What is the initial HHI? b. What will the HHI become if two firms merge? c. What will the HHI become if three firms merge?
A medical researcher collected the systolic blood pressure reading for a random sample of n = 30 female students under the age of 21 who visited the Student's Health Service. The blood pressures are:...
Brady Service Center just purchased an automobile hoist for $35,000. The hoist has an 8-year life and an estimated salvage value of $3,000. Installation costs and freight charges were $3,300 and...
1.XYZ Corp. just paid an annual dividend of $3 per share on its common stock. This dividend is expected to grow at a 10 percent annual rate for two years, after which it is expected to grow at a 6...
Using the financial statements from the Major Medical Center Case Study at the end of chapter 15 (Financial Management for Public Health and non-profit Management 4th addition, Page #552), analyze...
Solve the inequality |x 1| |x + 2|.
Sketch each of these curves and indicate clearly the axis intercepts. a. y = x 2 (x + 2) b. y = x 2 (5 2x) c. y = (x +1) 2 (x-2) d. y = (x 2) 2 (10 3x)
Let A and C be matrices in CmÃn and let B CnÃr. Prove each of the following rules: (a) (AH)H = A (b)
we discussed the function of controlling and the tools managers use to measure performance. As you can see, this is important to the manager because it will determine whether there is a need for...
Write a program that encrypts a text by applying XOR (excluding or) operation between the given source characters and given cipher code. The encryption should be done by applying XOR between the...
Your task for this assignment is to select any one of your programming assignments and to rewrite it as generic software. This means that the class for the data structure -- array, linked list, stack...
Evaluate the level of autonomy, mastery, and purpose in your current job (or a previous job). What could your company (or previous company) do to improve or maintain a strong culture of engagement...
What would you offer for a symcor bond that offers a 5.5% coupon (paid semi-annually), has face value of $1,000, and matures in 7 years if similar risk investments offer an expected yield of 5%...
Prove that, on R3, the gradient, curl and divergence all define linear operators. Be precise in your description of the domain space and the target space in each case.
The financial statements of Eastern Platinum Limited (Eastplats) are presented in Appendix A at the end of this textbook. Instructions (a) Does East plats report any investments on its statement of...
i. Given that (x + 2) and (x + 3) are factors of 5x 3 + ax 2 + b, find the values of the constants a and b. ii. When a and b have these values, factorise 5x 3 + ax 2 + b completely, and hence solve...
a. Use the expansions of cos(2x + x) and cos(2x x) , to prove that: cos 3x + cos x + 2 cos 2x cos x b. Solve cos 3x + cos 2x + cos x > 0 for 0 < x < 360.
i. The polynomial x 3 + ax 2 + bx + 8, where a and b are constants, is denoted by p(x). It is given that when p(x) is divided by (x 3) the remainder is 14, and that when p(x) is divided by (x + 2)...
MEMORNDUM TO: Bill Bugnay FROM: M. Lasker Please make the GST Remittances (normally monthly) to the Receiver General for November (#2147) now as we will be closed until January 5, 20XX + 1. For...
For certain workers, the mean wage is $7.50/hr, with a standard deviation of $0.25. If a worker is chosen at random, what is the probability that the worker's wage is between $7.25 and $7.75? Assume...
7.5. Explosion time. Consider the SDE dY = ex dB, Y = 0. et Clearly, the local volatility grows much faster than the assumption of Theorem 7.21. Sample 100 paths of this process using the Euler...

The curve y = x and the line 5y = x + 4 intersect at the points

Question:

Step by Step Answer:

a To find the xcoordinates of the points of intersection we can subs...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions