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

Find the possible values of x in the equation 9x² = 27^{(2x+ 12)}

Answers

sharon kalunda answered the question on August 20, 2019 at 05:32

Answer Attachments

Next: The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a).

Previous: Solve the equation 2x² + 3x = 5 by completing the square method.

View more Mathematics Questions and Answers | Return to Questions Index

Exams With Marking Schemes

Related Questions

The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a). (Solved)

The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a). Line PQ is parallel to AB and AP = 7 units.

(i) Find the value of a.
(ii) Write down the equation of PQ.

Date posted: August 20, 2019 . Answers (1)
In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG giventhat ?HED = 20^o (Solved)

In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG given that ?HED = 20^o

Date posted: August 19, 2019 . Answers (1)
A parallelogram OACB is such that OA = a, OB = b. (Solved)

A parallelogram OACB is such that OA = a, OB = b. D is the mid point of BC OE = hOC and AE = kAD.
(a) Express the following in terms of a, b, h and k.
(i) OC
(ii) OE
(iii) AD
(iv) AE

(b) Find the values of h and k.

(c) Determine the ratios:
(i) AE : ED
(ii) OE : OC

Date posted: August 19, 2019 . Answers (1)
The velocity of a particle t seconds after passing a fixed point O, is given by V = at² + bt m/s, where a and... (Solved)

The velocity of a particle t seconds after passing a fixed point O, is given by V = at² + bt m/s, where a and b are constants. Given that its velocity is 2 m/s when t = 1 sec and it returns to 0 when t = 4.5 secs, calculate;

(a) The values of a and b.
(b) Hence find;
(i) The values of t when the particle is instantaneously at rest.
(ii) The total distance traveled by the particle during the first 4 seconds
(iii) The maximum velocity attained by the particle

Date posted: August 19, 2019 . Answers (1)
A bus left town x at 10:45 am and traveled towards town Y at an average speed of 60 km/hr. (Solved)

A bus left town x at 10:45 am and traveled towards town Y at an average speed of 60 km/hr. A car left town X at 11:15am on the same day and traveled along the same road at an average speed of 100 km/hr. The distance between town X and town Y is 500 km.

(i) Determine the time of day when the car overtook the bus.
(ii) Both vehicles continued towards town Y at their original speeds. Find how long the car had to wait in town Y before the bus arrived.

Date posted: August 19, 2019 . Answers (1)
The figure shows a velocity time graph of an object which accelerates from rest to a velocity Vm/s then decelerates to rest in a total... (Solved)

The figure shows a velocity time graph of an object which accelerates from rest to a velocity Vm/s then decelerates to rest in a total time of 54 seconds. If the whole journey is 810 m,

(i) Find the value of V.
(ii) Find the deceleration given the initial acceleration is 1 2/3 m/s².

Date posted: August 19, 2019 . Answers (1)
Eunice bought some oranges worth Ksh 45, while Sharon spent the same amount of money but bought the oranges at a discount of 75 cents... (Solved)

Eunice bought some oranges worth Ksh 45, while Sharon spent the same amount of money but bought the oranges at a discount of 75 cents per orange.
(a) If Eunice bought an orange at Sh x, write down a simplified expression for the total number of oranges bought by Eunice and Sharon.
(b) If Sharon bought 2 more oranges than Eunice. Find how much each spent on an orange.
(c) Find the total number of oranges bought by Eunice and Sharon.

Date posted: August 19, 2019 . Answers (1)
Four trucks A, B, C and D take 10 days to transport 42,000 bags of maize to a depot. (Solved)

Four trucks A, B, C and D take 10 days to transport 42,000 bags of maize to a depot. However, trucks A and B together take 30 days to transport the same number of bags while trucks C and D together take 15 days. Truck A carries 1.5 times the number of bags B carries and C carries 1 and four fifths times as much as D.

(a) Determine the number of bags of maize transported by each truck per day.
(b) All the trucks A, B C and D work together for 5 days, after which truck C and D are withdrawn. A and B work together for another 5 days after which truck A breaks down. How long does truck B take to complete the rest of the remaining bags?

Date posted: August 19, 2019 . Answers (1)
A frustum with a regular pentagonal base is such that its top is of side 12cm and bottom is of side 24cm. (Solved)

A frustum with a regular pentagonal base is such that its top is of side 12cm and bottom is of side 24cm. If its perpendicular height is 20cm. Calculate:

(a) The length of the slant edge.
(b) The volume of the frustum

Date posted: August 19, 2019 . Answers (1)
Three business partners Kamau, Tatwa and Makau contributed Ksh. 100,000, Ksh.80,000 and ksh. 50,000 respectively to start a business. After one year the business realized... (Solved)

Three business partners Kamau, Tatwa and Makau contributed Ksh. 100,000, Ksh.80,000 and ksh. 50,000 respectively to start a business. After one year the business realized a profit which they shared in the ratio of their contributions.
(a) If Makau’s share of profit was Kshs.20, 000, how much was the total amount of profit?
(b) At the beginning of the second year, Makau boosted his shares by Ksh. 10,000. If the business
profit increased by 20% at the end of the second year. Calculate;
(i) Kamau’s share of the profit.
(ii) The difference between Kamau’s and Tatwa’s share of the profit.

Date posted: August 19, 2019 . Answers (1)
A pulley is made up of two wheels of radii 6 cm and 9 cm respectively and the distance between their centres is 18 cm. (Solved)

A pulley is made up of two wheels of radii 6 cm and 9 cm respectively and the distance between their centres is 18 cm.

If a belt passes round the two pulleys, find its length.

Date posted: August 19, 2019 . Answers (1)
A student expands (x - y)² incorrectly as x² + y². (Solved)

A student expands (x - y)² incorrectly as x² + y². Find his percentage error if he used this incorrect expansion for x = 4 and y = -5. Give your answer correct to 2 d.p.

Date posted: August 19, 2019 . Answers (1)
In the figure below, lines AB and XY are parallel. (Solved)

In the figure below, lines AB and XY are parallel.

If the area of the shaded region is 36 cm², find the area of triangle CXY.

Date posted: August 19, 2019 . Answers (1)
List the integral values of x which satisfy the inequalities below. 2x+21>15-2x=x+6 (Solved)

List the integral values of x which satisfy the inequalities below.
2x+21>15-2x≥x+6

Date posted: August 19, 2019 . Answers (1)
Makau and Kilonzo live 20km apart. Makau leaves home at 10:00 am and walks to meet Kilonzo who started walking at 9:30 am to meet... (Solved)

Makau and Kilonzo live 20km apart. Makau leaves home at 10:00 am and walks to meet Kilonzo who started walking at 9:30 am to meet Makau. The speed of Makau and Kilonzo are in the ratio of 3:4. If they met at 11:30 am find their speeds.

Date posted: August 19, 2019 . Answers (1)
John bought two shirts and three pairs of trousers at Ksh. 1750. If had bought three shirts and two pairs of trousers, he would have... (Solved)

John bought two shirts and three pairs of trousers at Ksh. 1750. If had bought three shirts and two pairs of trousers, he would have saved Ksh.250. Find the cost of a shirt and a trouser.

Date posted: August 19, 2019 . Answers (1)
A straight line passes through the point (-3,-4) and is perpendicular to the line whose equation is 3x + 2y = 11 and intersects the... (Solved)

A straight line passes through the point (-3,-4) and is perpendicular to the line whose equation is 3x + 2y = 11 and intersects the x=axis and y-axis at points A and B respectively. Find the length of AB.

Date posted: August 19, 2019 . Answers (1)
A theatre has a seating capacity of 250 people. The charges are Kshs. 100 for an ordinary seat and Kshs. 160 for a special seat. (Solved)

A theatre has a seating capacity of 250 people. The charges are Kshs. 100 for an ordinary seat and Kshs. 160 for a special seat. It costs Kshs. 16,000 to stage a show and the theatre must make a profit. There are never more than 200 ordinary seats and for a show to take place at least 50 ordinary seats must be occupied. The number of special seats is always less than twice the number of ordinary seats. Taking x to be the number of ordinary seats and y the number of special seats:-

(a) Write down all the inequalities representing the above information.
(b) On the grid provided, draw the graph to show the inequalities.
(c) Determine the number of seats each type that should be booked in order to maximize the profit.
(d) Determine the maximum profits.

Date posted: August 19, 2019 . Answers (1)
Onyango and Juma live 200km apart. One day, Onyango left his house at 7.00am (Solved)

Onyango and Juma live 200km apart. One day, Onyango left his house at 7.00am and travelled toward’s Juma’s house at an average speed of 30km/hr. Juma left his house at 7.30am on the same day and travelled towards Onyango’s at an average speed of 40km/hr.

(a) Determine:-
(i) The time they met.
(ii) The distance from Onyango’s house where the two met.
(iii) How far was Onyango from Juma’s house when they met?

(b) The two took 15 minutes at the meeting point and then travelled to Juma’s house at an average speed of 20km/hr. Find the time he arrived at Juma’s house.

Date posted: August 19, 2019 . Answers (1)
A ship B is on bearing of 080⁰ from port A and at a distance of 95km. (Solved)

A ship B is on bearing of 080⁰ from port A and at a distance of 95km. Another ship is stationed at port D which is on a bearing of 200⁰ from A and a distance of 124km from B. A ship leaves B and moves directly to island P which is on a bearing of 140⁰ from A.

(a) Using a scale of 1cm to represent 10km, make a scale drawing to show the relative positions of A, B, D and P.
(b) Hence find:-
(i) The distance from A to D.
(ii) The bearing of D from B.
(iii) The bearing of P from D.
(iv) The distance from P to D.

Date posted: August 19, 2019 . Answers (1)