log(x + 5) = log($\frac{4}{x + 2}$)
$\frac{x + 5}{1}$ = $\frac{4}{x + 2}$
(x + 5)(x + 2) = 4
x2 + 2x + 5x + 10 = 4
x2 + 7x + 6 = 0
P = 6; S = 7; N = 6,1
(x + 6)(x + 1) = 0
x + 6 = 0 therefor = -6
or x + 1 = 0 therefor = -1
johnmulu answered the question on March 6, 2017 at 13:18
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The number 7.25 is given to the nearest 0.01. Calculate
(Solved)
The number 7.25 is given to the nearest 0.01. Calculate
i) The range within which the exact values lies
ii) The relative error as a simple fraction
Date posted:
March 6, 2017
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Answers (1)
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A Kenyan businessman imports wheat from the United States at an initial cost of 500 dollars per tonne.
(Solved)
A Kenyan businessman imports wheat from the United States at an initial cost of 500 dollars per tonne. He then pays 20% of this amount as shipping costs and 10% of the same amount as customs duty. When the wheat reaches Mombasa the man has to pay 5% of the initial cost to transport it to Nairobi.
a) Given that one US dollar = sh 54.60 calculate the total cost of importing one tonne of wheat in shs
b) The businessman intends to make a profit of 20%. Giving your answer to the nearest ten cents, calculate the price at which he must sell the wheat per kg
Date posted:
March 6, 2017
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Answers (1)
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Find the estimate of the area enclosed by the curve y = 3x3 -5, the x axis and the line x = 4 and x = 6 using the mid-ordinate rule with 4 rectangles
(Solved)
Find the estimate of the area enclosed by the curve y = 3x3 -5, the x axis and the line x = 4 and x = 6 using the mid-ordinate rule with 4 rectangles
Date posted:
March 6, 2017
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Answers (1)
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Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years.
(Solved)
Three years ago a father was three times as old as his son. In three years time, the sum of their ages will be 76 years. Determine their present ages.
Date posted:
March 6, 2017
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Answers (1)
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If log k = 0.806 and y = 1.903, find the value of ky
(Solved)
If log k = 0.806 and y = 1.903, find the value of ky
Date posted:
March 6, 2017
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Answers (1)
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A plan of a house is drawn on a scale 1:500, What is the length of a room on the plan for which the actual length is 8 meters
(Solved)
A plan of a house is drawn on a scale 1:500
a) What is the length of a room on the plan for which the actual length is 8 meters
b) The area of the room on the plan is 1.28 cm2. What is the actual area of the room in m2
Date posted:
March 6, 2017
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Answers (1)
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Helen travels from P to Q at x km/hr and then from Q to R at (x + 6) km/hr. The distance from P to Q is 40 km while from Q to R is 100 km. If the to time taken between P and Q is the same as the one taken between Q and R, find
(Solved)
Helen travels from P to Q at x km/hr and then from Q to R at (x + 6) km/hr. The distance from P to Q is 40 km while from Q to R is 100 km. If the to time taken between P and Q is the same as the one taken between Q and R, find
i) Her speed between Q and R
ii) The total time taken to complete the journey
Date posted:
March 6, 2017
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Answers (1)
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Under an enlargement centre (0,3), the point (2,5) is mapped onto (4,K). Determine the value of K
(Solved)
Under an enlargement centre (0,3), the point (2,5) is mapped onto (4,K). Determine the value of K
Date posted:
March 6, 2017
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Answers (1)
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Find the distance of the point (4,3) from the point of intersection of line 2x - 3y = 7 and 4x + 3y = 5
(Solved)
Find the distance of the point (4,3) from the point of intersection of line 2x - 3y = 7 and 4x + 3y = 5 (leave your answer in simplified surd form)
Date posted:
March 6, 2017
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Answers (1)
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In a regular polygon with n sides, the interior angle is 150o. How many triangles can the polygon be divided into
(Solved)
In a regular polygon with n sides, the interior angle is 150o. How many triangles can the polygon be divided into
Date posted:
March 6, 2017
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Answers (1)
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Evaluate
$\frac{28 -(-18)}{2}$ - $\frac{15 -(-2)6}{3}$
(Solved)
Evaluate
$\frac{28 -(-18)}{2}$ - $\frac{15 -(-2)6}{3}$
Date posted:
March 6, 2017
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Answers (1)
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A hot water tap can fill a bath in 5 minutes while a cold water tap can fill the same bath in 3 minutes. The drain pipe can empty the full bath in $\frac{4}{15}$.
(Solved)
A hot water tap can fill a bath in 5 minutes while a cold water tap can fill the same bath in 3 minutes. The drain pipe can empty the full bath in $\frac{4}{15}$. The two taps and the drain pipe are fully open for 1$\frac{1}{2}$ minutes after which the drain pipe is closed. How long will it take to fill the bath?
Date posted:
March 6, 2017
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Answers (1)
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A shopkeeper bought 400 spades which he marked a selling price of sh 35 each. He sold 250 spades at this
(Solved)
A shopkeeper bought 400 spades which he marked a selling price of sh 35 each. He sold 250 spades at this price, but on the remainder he allowed a discount of 10% off. The ratio of the marked price to the price that the shopkeeper paid for each spade was 5:4, calculate
a) The profit on a spade sold at a discount as percentage of the cost price
b) the total profit on the whole transaction
Date posted:
March 6, 2017
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Answers (1)
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A map is drawn to a scale of 1: 50 000 on the map, the area of a town is 4 cm2. Calculate the actual area of the town in hectares.
(Solved)
A map is drawn to a scale of 1: 50 000 on the map, the area of a town is 4 cm2. Calculate the actual area of the town in hectares.
Date posted:
March 6, 2017
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Answers (1)
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Simplify the algebraic expression given by -2[-x - 2a - (a - x)]
(Solved)
Simplify the algebraic expression given by
-2[-x - 2a - (a - x)]
Date posted:
March 6, 2017
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Answers (1)
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Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$
(Solved)
Simplify $\frac{2x^2 – 3xy – 2y^2}{4x^2 – y^2}$
Date posted:
March 6, 2017
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Answers (1)
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The largest angle of a triangle exceeds ten times the smallest angle by 10o. The third angle is equal by 60o. Find the size of the largest angle.
(Solved)
The largest angle of a triangle exceeds ten times the smallest angle by 10o. The third angle is equal by 60o. Find the size of the largest angle.
Date posted:
March 6, 2017
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Answers (1)
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Two farm workers Mutua and Musyoka can cultivate a field in 6 days. Mutua alone can complete the cultivation in 15 days. After Mutua and Musyoka had worked for 4 days, Mutua fell sick
(Solved)
Two farm workers Mutua and Musyoka can cultivate a field in 6 days. Mutua alone can complete the cultivation in 15 days. After Mutua and Musyoka had worked for 4 days, Mutua fell sick. Find the time taken by Musyoka to complete the cultivation.
Date posted:
March 6, 2017
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Answers (1)
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Evaluate$\frac{14\div \frac{1}{3} of\; 5\frac{1}{4} - \;\frac{3}{4}\times\;1 \frac{1}{3}}{\frac{3}{5}\times 6\frac{1}{4} + 1\frac{1}{2}}$
(Solved)
Without using a calculator evaluate
$\frac{14\div \frac{1}{3} of\; 5\frac{1}{4} - \;\frac{3}{4}\times\; 1\frac{1}{3}}{\frac{3}{5}\times 6\frac{1}{4} + 1\frac{1}{2}}$
Date posted:
March 6, 2017
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Answers (1)
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A garage owner bought a certain number of litres of petrol for sh 760. If the petrol cost sh x per litre........
(Solved)
A garage owner bought a certain number of litres of petrol for sh 760. If the petrol cost sh x per litre
a) write down an expression for the number of litres of petrol he obtained
b) When the price per litre was up by 25 cents he found that he obtained 5 litres fewer for the same sum of money
i) Form an equation in x and show that it reduces to 4x2 + x – 95 = 0
ii) Solve the equation and calculate the price of petrol after the rise
Date posted:
March 6, 2017
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Answers (1)