Forwarded from Mathematics Spmnetic!™ 🔢 (Jason (5 Radium))
if u wonder why tiba tiba, taking the coefficient of and dividing it by 2..
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AddMath Spmnetic!™⚡️ pinned «guys, comment what formula u dont understand...but simply use...»
Question 1: Functions
Given f:x--> 2+3x, find an expression for f^-1(x).
Given f:x--> 2+3x, find an expression for f^-1(x).
Question 2: Quadratic Function
Given the equation x^2-8x+5=(x+m)^2+n, where m and n are constants. Find the value of m and n.
Given the equation x^2-8x+5=(x+m)^2+n, where m and n are constants. Find the value of m and n.
Question 4: System of Equations
(a) To make a new flavoured ice cream 🍨, a staff need to mix x kg of mangoes 🥭 with y kg of kiwi 🥝 fruits and the mixture needs to satisfy the following equations:
x+y=13
x-y=24/x
i) Solve the simultaneous equations above to find out the values of x and y. [ 4 marks]
ii) Which solution is not practical? Give your reason. [2m]
(b) Explain the type of solution that can be obtained in solving a system of equations. [2m]
(a) To make a new flavoured ice cream 🍨, a staff need to mix x kg of mangoes 🥭 with y kg of kiwi 🥝 fruits and the mixture needs to satisfy the following equations:
x+y=13
x-y=24/x
i) Solve the simultaneous equations above to find out the values of x and y. [ 4 marks]
ii) Which solution is not practical? Give your reason. [2m]
(b) Explain the type of solution that can be obtained in solving a system of equations. [2m]
No matter how long fence or wall U have, the ratio between width and length, always will be same...for this type of question..
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Question 6: Progression
A rectangle has length x cm and width y cm. The rectangle is redrawn such that the length and the width of the subsequent rectangle is one fourth the preceding one. The process is repeated several times.
(a) Show that the areas of the rectangle drawn form a geometric progression. (4m)
(b) Given x=45cm, y=45cm,
i) determine the first rectangle that has an area of less than 30cm^2,
ii) find the sum to infinity of the areas of the rectangle in this process.
(6m)
A rectangle has length x cm and width y cm. The rectangle is redrawn such that the length and the width of the subsequent rectangle is one fourth the preceding one. The process is repeated several times.
(a) Show that the areas of the rectangle drawn form a geometric progression. (4m)
(b) Given x=45cm, y=45cm,
i) determine the first rectangle that has an area of less than 30cm^2,
ii) find the sum to infinity of the areas of the rectangle in this process.
(6m)
Question 8: Coordinate Geometry
y=ab^x, M(1,5), N(3,625)
log5y against x. State M and N coordinate and find a and b. (7m)
y=ab^x, M(1,5), N(3,625)
log5y against x. State M and N coordinate and find a and b. (7m)