Questions and Answers of Financial Accounting Information For Decisions

Solve the following simultaneous equations.x – y = 22x2 – 3y2 = 15
Find the values of k for which 4x2 - (k - 2)x + 9 = 0 has two equal roots.
Find the set of values of m for which the line y = mx - 5 does not meet the curve y = x2 - 5x + 4.
Find the set of values of k for which the line y = 2x - 5 cuts the curve y = x2 + kx + 11 in two distinct points.
f(x) = 2x2 - 8x + 1a. Express 2x2 - 8x + 1 in the form a(x + b)2 + c, where a and b are integers.b. Find the coordinates of the stationary point on the graph of y = f(x).
Solve the following simultaneous equations.x + 2y = 7x2 + y2 = 10
f(x) = x2 - x - 5 for x ∈ Ra. Find the smallest value of f(x) and the corresponding value of x.b. Hence write down a suitable domain for f(x) in order that f-1(x) exists.
f(x) = 5 - 7x - 2x2 for x ∈ Ra. Write f(x) in the form p - 2(x - q)2, where p and q are constants to be found.b. Write down the range of the function f(x).
Find the values of k for which 4x2 + 4(k - 2)x + k = 0 has two equal roots.
The line y = mx + 6 is a tangent to the curve y = x2 - 4x + 7. Find the possible values of m.
The equation of a curve is given by y = 2x2 + ax + 14, where a is a constant.Given that this equation can also be written as y = 2(x - 3)2 + b, where b is a constant, finda. The value of a and of
Solve the following simultaneous equations.y = 2xx2 + 3xy = 3
Show that the roots of the equation x2 + (k - 2)x - 2k = 0 are real and distinct for all real values of k.
Find the set of values of m for which the line y = mx - 2 cuts the curve y = x2 + 8x + 7 in two distinct points.
Solve the following simultaneous equations.xy = 2x + y = 3
Show that the roots of the equation kx2 + 5x - 2k = 0 are real and distinct for all real values of k.
a. On a copy of grid to the right, sketch the graph of y = |(x - 2) (x + 3)| for -5 ≤ x ≤ 4, and state the coordinates of the points where the curve meets the coordinate axes.b. Find the
a. Express 14 + 6x - 2x2 in the form a + b(x + c)2, where a, b and c are constants.f(x) = 14 + 6x - 2x2 for x ∈ Rb. Write down the coordinates of the stationary point on the graph of y = f(x).c.
Solve the following simultaneous equations.y2 = 4x2x + y = 4
Find the value of k for which the curve y = 2x2 - 3x + ki. Passes through the point (4, -7),ii. Meets the x-axis at one point only.
a. Express 7 + 5x - x2 in the form a - (x + b)2, where a, and b are constants.f(x) = 7 + 5x - x2 for 0 ≤ x ≤ 7b. Find the coordinates of the turning point of the function f(x), stating whether it
Find the smallest value of m for which f has an inverse.f(x) = 4x2 + 6x - 8 where x ≥ m
Solve the following simultaneous equations.y = 3x2y2 – xy = 15
a. Express 1 + 4x - x2 in the form a - (x + b)2, where a and b are constants to be found.f(x) = 1 + 4x - x2 for x ≥ 2b. Find the coordinates of the turning point of the function f(x), stating
Solve the following simultaneous equations.x – 2y = 14y2 – 3y2 = 1
Solve the following simultaneous equations.3 + x + xy = 02x + 5y = 8
Solve the following simultaneous equations.xy = 12(x – 1) (y + 2) = 15
Calculate the coordinates of the points where the line y = 1 – 2x cuts the curve x2 + y2 = 2.
The sum of two numbers x and y is 11.a. Write down two equations in x and y.b. Solve your equations to find the possible values of x and y.
The sum of the areas of two squars is 818 cm2.The sum of the perimeters is 160 cm.Find the lengths of the sides of the squares.
The line y = 2 – 2x cuts the curve 3x2 – y2 = 3 at the points A and B.Find the length pf the line AB.
The line 2x + 5y = 1 meets the curve x2 + 5xy – 4y2 + 10 = 0 at the points A and B.Find the coordinates of the midpoint of AB.
The line y = x – 10 intersects the curve x2 + y2 + 4x + 6y – 40 = 0 at the points A and B.Find the length of the line AB.
The straight-line y = 2x – 2 intersects the curve x2 – y = 5 at the points A and B.Given that A lies below the x-axis and the point P lies on AB such that AP: PB = 3: 1, find the coordinates of P.
The line x – 2y = 2 intersects the curve x + y2 = 10 at two points A and B.Find the equation of the perpendicular bisector of the line AB.
Solve the following simultaneous equations.x + 3y = 02x2 + 3y = 1
Find the range of value of k for which the equation kx2 + k = 8x - 2xk has 2 real distinct roots.
The function f is such that f(x) = 2x2 - 8x + 3.a. Write f(x) in the form 2(x + a)2 + b, where a, and b are constants to be found.b. Write down a suitable domain for f so that f-1 exists.
Solve the following simultaneous equations.x + y = 4x2 + y2 = 10
a. Find the set of values of x for which 4x2 + 19x - 5 ≤ 0.b. i. Express x2 + 8x - 9 in the form (x + a)2 + b. where a and b are integers.ii. Use your answer to part i to find the greatest value of

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