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
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Solve for x = $\frac{\sqrt3}{2}$, where x is an acute angle, evaluate without using mathematical tables
tan x(Solved)
Solve for x = $\frac{\sqrt3}{2}$, where x is an acute angle, evaluate without using mathematical tables
i) tan x
ii) sin2 (90 - x)
Date posted: March 6, 2017. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Evaluate.
$\frac{12.4\times \sqrt2}{(5^2 + 6 )\sqrt{0.125}}$(Solved)
Without using tables evaluate.
$\frac{12.4\times \sqrt2}{(5^2 + 6 )\sqrt{0.125}}$
Date posted: March 6, 2017. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- A factory assembles computers and normally produces 600 in x days.
i) Write down an expression involving x for the number produced per day(Solved)
A factory assembles computers and normally produces 600 in x days.
i) Write down an expression involving x for the number produced per day
ii) The rate of production is increased so that 600 are now produced in one day less (x -1). Write down an expression involving x for the number produced
iii) If the difference between these daily rates of production is 50, form an equation in x and show that it reduces to x2 - x - 12 = 0
iv) Hence find the number produced per day
Date posted: March 6, 2017. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- 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. Answers (1)
- Solve the following equation for x
($\frac{5}{6}$)x + 1 = ($\frac{216}{125}$)2x + 3(Solved)
Solve the following equation for x without using tables or calculators
($\frac{5}{6}$)x + 1 = ($\frac{216}{125}$)2x + 3
Date posted: March 6, 2017. Answers (1)