The curve y = a/bx + 1 passes through the point (1, 4) and has gradient

Question:

The curve y = a/√bx + 1 passes through the point (1, 4) and has gradient – 3/2 at this point.

Find the value of a and the value of b.

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: Sep 01, 2021 12:45 AM

See More Questions

Stock Company A Company B Company C Market Portfolio Beta 1.8 ? 1.5 1 Expected Return ? 14.7% 16.5% 12% Inflation rate is 2% p.a. Risk-free rate is 3% p.a. A .Calculate the expected return of Company...
Find the value of a and the value of b in each of the following. a. x 2 + 3x 10 is a factor of x 3 + ax 2 + bx + 30. b. 2x 2 11x + 5 is a factor of ax 3 17x 2 + bx 15. c. 4x 2 4x 15 is a factor...
Do not use a calculator in this question. i. Find the value of log P P 2 . ii. Find lg(1/10 n ). iii. Show that lg20-lg4/log 5 10 = (lg y) 2 , where y is a constant to be found. iv. Solve log t 2x +...
Assume you are considering opening a retail business. You are trying to decide whether to have a traditional brick-and-mortar store or to sell only online. Explain how the activities and costs differ...
Use the building-up principle to obtain the electron configuration for the ground state of the manganese atom (Z = 25).
1. Which of the following is the true purpose of information presented in notes to the financial statements? (a) To provide disclosures required by generally accepted accounting principles. (b) To...
What procedures should Maureen use to educate her supervisors and managers about the terms of the new agreement?
A General Power bond carries a coupon rate of 8%, has 9 years until maturity, and sells at a yield to maturity of 7%. (Assume annual interest payments.) a. What interest payments to bondholders...
Assuming a target capital structure of: 40% debt 20% preferred stock 40% common equity What would be the WACC given the following: All debt will be from the sale of bonds with a coupon of 10% (assume...
In the extension of an infinite field K by K(x,y), the intermediate field K(x) is Galois over K, but not stable (relative to K(x,y) and K). [See Exercise 9] Data from exercise 9 (a) If K is an...
The normal to the curve y = x 3 + 6x 2 34x + 44 at the point P(2, 8) cuts the x-axis at A and the y-axis at B. Show that the mid-point of the line AB lies on the line 4y = x + 9.
A solid cylinder has radius r cm and height h cm. The volume of this cylinder is 250 cm 3 and the surface area is A cm 2 . a. Express h in terms of r. b. Show that A = 2r 2 + 500/r. c. Find dA/dr and...
The all-American baseball is made using cork from Portugal, rubber from Malaysia, yarn from Australia, and leather from France, and it is stitched (108 stitches exactly) by workers in Costa Rica. To...
Turn this information into an excel sheets with the excel formulas being shown P12.2 (LO 1, 2) (Liability Entries and Adjustments) Listed below are selected transactions of Schultz Department Store...
1. Consider an undirected random graph on the set of four vertices {A, B, C, D} such that each of the 4 2 = 6 potential edges exists with probability 0.2, independently of the presence/absence of any...
Basic Net Present Value Analysis Jonathan Butler, process engineer, knows that the acceptance of a new process design will depend on its economic feasibility. The new process is designed to improve...
Determine the support reactions at the smooth collar A and the normal reaction at the roller support B. 800 N 600 N B 0.8 m 0.4 m 0.4 m 0.8 m
A plant hopes to cool a steam line by sending it through a throttling valve to expand it to atmospheric pressure. The steam enters the valve at 550C and 250 bar. The expansion in the valve happens so...
Ames Company reported 2020 net income of $151,000. During 2020, accounts receivable increased by $13,000 and accounts payable increased by $9,500. Depreciation expense was $44,000. Prepare the cash...
Avatar Financials, Inc., located on Madison Avenue, New York City, is a company that provides financial advice to individuals and small- to mid-sized businesses. Its primary operations are in wealth...
In 2014, Malala Yousafzai, a Pakistani activist who achieved fame as an advocate for the rights of girls, was awarded the Nobel Peace Prize. Is Malala a social entrepreneur? Why or why not?
Go back and read the case regarding the Minnesota Public Radio in Chapter 14. Was William Kling a social entrepreneur? Why or why not?
Nonprofit partnerships with business, discussed in Chapter 14, provide a nonprofit with earned income. Are such partnerships examples of social entrepreneurship? Why or why not?
Simpson Ltd is a small IT company, which has 2 million shares outstanding and a share price of $20 per share. The management of Simpson plans to increase debt and suggests it will generate $3 million...
The following are the information of Chun Equipment Company for Year 2 . ( Hint: Some of the items will not appear on either statement, and ending retained earnings must be calculated. ) Salaries...
Alta Ski Company's inventory records contained the following information regarding its latest ski model. The company uses a periodic inventory system. Beginning inventory, January 1, 2018 1,250 units...

The curve y = a/bx + 1 passes through the point (1, 4) and has gradient

Question:

Step by Step Answer:

We can begin by using the pointslope form of a line which ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions