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- Given the equation of a curve
Y = (2x +2)(x2 + 3)
i)Find the function of the gradient of the curve and its value when...(Solved)
Given the equation of a curve
Y = (2x +2)(x2 + 3)
i)Find the function of the gradient of the curve and its value when x = 3/2
ii)Determine the equation of the normal to the curve at the point (-2, 3)
Date posted: September 17, 2019. Answers (1)
- Use matrix method to solve the following pair of simultaneous equation
3x + 2y = 12
-y + 4x = 5
(Solved)
Use matrix method to solve the following pair of simultaneous equation
3x + 2y = 12
-y + 4x = 5
Date posted: September 17, 2019. Answers (1)
- P varies directly as Q and inversely as the square of R. When Q=5 and R=3, P=20. Find R when P=21.6 and Q=15 (Solved)
P varies directly as Q and inversely as the square of R. When Q=5 and R=3, P=20. Find R when P=21.6 and Q=15
Date posted: September 17, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currencies as shown in the table below:
A tourist arrived in Kenya with 105,900 sterling pounds changed the...(Solved)
A Kenyan bank buys and sells foreign currencies as shown in the table below:
A tourist arrived in Kenya with 105,900 sterling pounds changed the whole amount in Kenyan shillings. While in Kenya he spent Kshs 4,800,000 and then changed the balance to American dollars. Calculate to the nearest dollar how many dollars he then received
Date posted: September 17, 2019. Answers (1)
- Without using tables and calculators simplify by rationalizing the denominator
Leave your expression in surd form
(Solved)
Without using tables and calculators simplify 
by rationalizing the denominator
Leave your expression in surd form
Date posted: September 17, 2019. Answers (1)
- The 1st 2nd and 5th terms of an arithmetic progression series are three consecutive terms of a G.P, find the ratio of the G.P(Solved)
The 1st 2nd and 5th terms of an arithmetic progression series are three consecutive terms of a G.P, find the ratio of the G.P
Date posted: September 17, 2019. Answers (1)
- Solve the compound inequalities and hence list down the integers which satisfy the inequalities (Solved)
Solve the compound inequalities 
and hence list down the integers which satisfy the inequalities
Date posted: September 17, 2019. Answers (1)
- Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal...(Solved)
Expand (1 – 2x)5 hence use the expansion up to the forth term to estimate the value of (0.8)5 correct to 3 decimal places
Date posted: September 17, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: September 17, 2019. Answers (1)
- A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per...(Solved)
A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per litre would cost Kshs. 40 per litre of the same mixture.
a)How much of each would be required to produce one litre of each mixture.
b)If the cost of production of juice brand A is shs. 27 per litre and juice brand B which costs shs. 42 per litre. What price must the manufacturer sell the mixture to make a profit of 20% per litre?
c)If the cost of production decreases by 10% for juice brand B, what price must the manufacturer sell to retain the same profit margin?
Date posted: September 17, 2019. Answers (1)
- The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and...(Solved)
The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and B.
a)Find the coordinates of A and B.
b)Calculate the area bounded by the curve y = 16 – x2 the y-axis and the x-axis.
c)Calculate the area of the shaded region that lies below the x – axis.
d)Calculate the area of the region enclosed by the curves y = 16 – x2, y = x2 – 4x and the y – axis.
Date posted: September 17, 2019. Answers (1)
- Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude...(Solved)
Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude given that the radius of the earth is 6370km. (Give your answer to the nearest km.)
b)Another town R, is 840km East of town Q and on the same latitude, find the position of R.
c)If the local time at town Q is 12:30am on Monday, what is the local time of town R?
Date posted: September 17, 2019. Answers (1)
- The table below shows the marks obtained in a mathematics examination marked out of 100.
a)Draw accumulative frequency curve on the grid provided.
b)Using the curve...(Solved)
The table below shows the marks obtained in a mathematics examination marked out of 100.
a)Draw accumulative frequency curve on the grid provided.
b)Using the curve drawn in a (above) determine;
i)The median mark.
ii)The quartile deviation.
c)If 35% of the students failed the examination use the graph to estimate the pass mark.
Date posted: September 17, 2019. Answers (1)
- The table below shows the rate of taxation in certain year.
A teacher in a technical institute paid a tax of Ksh. 10,855 after getting...(Solved)
The table below shows the rate of taxation in certain year.
A teacher in a technical institute paid a tax of Ksh. 10,855 after getting a monthly tax relief of
Ksh. 1162. Calculate;
a)His monthly taxable income.
b)His other deductions per month.
Cooperative society’s contributions Kshs. 3,000
Loan repayment Kshs. 19,000
Union dues Kshs 400
Calculate his net salary per month.
Date posted: September 17, 2019. Answers (1)
- The table below shows the values of x and y for the curve represented by;(Solved)
The table below shows the values of x and y for the curve represented by;
Date posted: September 17, 2019. Answers (1)
- A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must...(Solved)
A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must exceed 150.
Taking x to represent the number of boys and y the number of girls, write down all the inequalities representing the information above.
Date posted: September 16, 2019. Answers (1)
- The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of...(Solved)
The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of a circle, expressing it inform of x2 + y2 + ax + by + c = 0 where a, b and c are constants
Date posted: September 16, 2019. Answers (1)
- Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6. (Solved)
Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
Date posted: September 16, 2019. Answers (1)
- A farmer bought a tractor at Kshs.210,000 and sold at Kshs.52,500, after using it for five years. Calculate the annual rate of depreciation of the...(Solved)
A farmer bought a tractor at Kshs.210,000 and sold at Kshs.52,500, after using it for five years. Calculate the annual rate of depreciation of the tractor.
Date posted: September 16, 2019. Answers (1)
- Two chords PQ and RS of a circle meet a point X outside the circle. If PX = 6cm, QX = 3.5 cm and
XS...(Solved)
Two chords PQ and RS of a circle meet a point X outside the circle. If PX = 6cm, QX = 3.5 cm and
XS = 3 cm, find the length of the chord RS.
Date posted: September 16, 2019. Answers (1)