Study resources on Kenyaplex

Get ready-made curriculum aligned revision materials

Exam papers, notes, holiday assignments and topical questions – all aligned to the Kenyan curriculum.

Browse exam papers

Or go directly to:

Class notes Holiday assignments Topical questions Other resources

If x = 2/3 is a root of 6x² + kx – 2 = 0, find the value of k and the other root.

Answers

sharon kalunda answered the question on May 3, 2019 at 10:10

Answer Attachments

Next: Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity...

Previous: From a viewing tower 30 metres above the ground, the angle of depression of an object on the ground is 30^o and the angle of elevation...

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity... (Solved)

Tap A takes 4 minutes to fill a tank and tap B takes 6 minutes to empty the tank. If the tank has a capacity of 3000 litres find the volume of the tank after 2 minutes when both taps are open.

Date posted: May 3, 2019 . Answers (1)
Rose bought a golden necklace for ksh.6000 and sold it to Betty at a loss of 30%. Betty later sold it at a profit of... (Solved)

Rose bought a golden necklace for ksh.6000 and sold it to Betty at a loss of 30%. Betty later sold it at a profit of 20%.
What was Betty’s selling price.

Date posted: May 3, 2019 . Answers (1)
Solve the following inequality and show your solution on a number line. (Solved)

Solve the following inequality and show your solution on a number line.
4x – 3 ≤ ½ (x + 8) < x + 5

Date posted: May 3, 2019 . Answers (1)
Simplify completely (Solved)

Simplify completely

Date posted: May 3, 2019 . Answers (1)
Without using Logarithms tables or a calculator evaluate. (Solved)

Without using Logarithms tables or a calculator evaluate.

Date posted: May 3, 2019 . Answers (1)
A plane S flies from a point P (40⁰N, 45⁰W) to a point Q(35⁰N, 45⁰W) and then onto a point T (35⁰N, 135⁰E). (Solved)

A plane S flies from a point P (40⁰N, 45⁰W) to a point Q(35⁰N, 45⁰W) and then onto a point T (35⁰N, 135⁰E).
a) Given that the radius of the earth is 6370km, find the distance P to Q in km.
b) Find in nm;
i) the shortest distance between Q and T.
ii) the longest distance between Q and T (to the nearest tens).
c) Find the difference in time taken when S flies along the shortest and longest routes if its speed is 420 knots.

Date posted: May 3, 2019 . Answers (1)
A bag, contains 5 blue balls, 8 red balls and 3 green balls being similar in shape and size. A ball is picked out at random... (Solved)

A bag, contains 5 blue balls, 8 red balls and 3 green balls being similar in shape and size. A ball is picked out at
random without replacement and it’s colour noted. Use a tree diagram to determine the probability that at least
one of first two balls picked is green.

Date posted: May 3, 2019 . Answers (1)
In a F4 class there are 22 girls and 18 boys. The probability that a girl completes the secondary education course is 3/5 whereas that of... (Solved)

In a F4 class there are 22 girls and 18 boys. The probability that a girl completes the secondary education course is
3/5 whereas that of a boy is 2/3. A student is picked at random from the class. Find the probability that the student picked:
i) Is a boy and will complete the course.
ii) Will complete the course.

Date posted: May 3, 2019 . Answers (1)
The table below shows the income tax rates for a certain year. (Solved)

The table below shows the income tax rates for a certain year.

In that year Maina paid a net tax of ksh. 5512 per month. His total monthly taxable allowances amounted to ksh.
15,220 and he was entitled to a monthly personal relief of ksh. 1162. Every month the following deductions were made
- NHIF Ksh. 320
- Union dues Ksh. 200
- Co-op shares Ksh. 7500
a) Calculate Maina’s monthly basic salary in Ksh.
b) Calculate his monthly net salary.

Date posted: May 3, 2019 . Answers (1)
In a botanical experiment, the length of 60 leaves of a certain type of a tree were measured correct to the nearest 0.1cm. (Solved)

In a botanical experiment, the length of 60 leaves of a certain type of a tree were measured correct to the nearest
0.1cm.

a) State the modal class.
b) Calculate the median length.
c) Using a working mean of 5.2, find
i) The mean.
ii) The standard deviation.

Date posted: May 3, 2019 . Answers (1)
In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2. (Solved)

In the triangle OAB below, OA = a, OB = b and OC = 3/2OA. M divided OB in the ratio 3:2.

a) Express in terms of a and b only, the vectors
i) BA
ii) MC
b) Given further that MN = hMC and BN = kBA, express vector MN in two different ways and hence, find the value of h and k.
c) Show that the points M, N and C are collinear.

Date posted: May 3, 2019 . Answers (1)
Find the exact area of the shaded region. (Solved)

Find the exact area of the shaded region.

Date posted: May 3, 2019 . Answers (1)
The eleventh term of an A.P is four times the second term. If the sum of the first seven terms of the A.P is 175 find... (Solved)

The eleventh term of an A.P is four times the second term. If the sum of the first seven terms of the A.P is 175
find the first term and the common difference.

Date posted: May 3, 2019 . Answers (1)
A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4... (Solved)

A quantity y varies partly as x and partly as the inverse of the square of x. If x = 2 when y = 4 and x = 4
when y = 6.25 find the equation connecting x and y.

Date posted: May 3, 2019 . Answers (1)
Expand (2 + 1/4x)⁶ up to the term containing x⁴. Hence evaluate (1.975)⁶ to 5 d.p. (Solved)

Expand (2 + 1/4x)⁶ up to the term containing x⁴. Hence evaluate (1.975)⁶ to 5 d.p.

Date posted: May 3, 2019 . Answers (1)
Solve for x in the equation (Solved)

Solve for x in the equation
6Sin²x - Cos x - 5 = 0 for 0 ≤ x ≤ 360⁰.

Date posted: May 3, 2019 . Answers (1)
Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should... (Solved)

Ketepa tea worth ksh. 40 per kg is mixed with Sasini tea worth sh. 60 per kg in the ratio 3:1. In what ratio should this
mixture be mixed with Kericho tea worth sh. 50 per kg to produce a mixture worth sh. 47 per kg.

Date posted: May 3, 2019 . Answers (1)
Find the radius and co-ordinates of the centre of a circle whose equation is (Solved)

Find the radius and co-ordinates of the centre of a circle whose equation is

Date posted: May 3, 2019 . Answers (1)
Solve for x in the equation. (Solved)

Solve for x in the equation.
2^2x-1 +4^x+1 =264

Date posted: May 3, 2019 . Answers (1)
Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the... (Solved)

Two taps A and B together, can fill water in a tank in 6 minutes. Tap A alone takes 5 minutes longer to fill the tank than
the tap B alone. How many minutes does it take tap B alone to fill the tank.

Date posted: May 3, 2019 . Answers (1)