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Maths
GCSE

A bag contains beads, 60% of which are green. A student claims that the probability of getting two green beads if the beads aren't replaced is 1/3 as 6/10 * 5/9 is 1/3. Is the student right?

They have multiplied the fractions correctly but they are still incorrect. The student has assumed that a bag with 60% green beads contains 10 beads. If the bag had 100 beads and 60 were green, 60% of the...

Answered by Adithya K. Maths tutor
3076 Views

Integrate ∫_(-1)^1 3/√(x+2) dx using the substitution u x+2

Step 1:Replace any obvious in the integral with the substitution u=x+2 ∫_(-1)^1 3/√u dx

Step 2: Differentiate the substitution u=x+2 to find an expression for dx (to differentiate multiply by the p...

Answered by Micaela Y. Maths tutor
4990 Views

Write (√(18)+10)/√(2) in the form: p + q√2 [4 marks]

First, simplify √18 by writing it as √(9x2) = √9 x √2 = 3√2.
Then, rationalise the denominator by multiplying both top and bottom of the fraction by √2.
This gives √2 x √2 = 2 in the denominator...

Answered by Abby C. Maths tutor
18246 Views

f(x) = 4x^2 + 8x - 5 ; complete the square to find the turning point of f(x).

4x^2 + 8x - 5 = 0 4(x^2 + 2x - (5/4)) = 0 4((x + 1)^2 - 1^2 - (5/4)) = 0 4((x + 1)^2 - (9/4)) = 0 4(x + 1)^2 - 9 = 0 4(x + 1)^2 - 9 = 0 Turning point is at (-1, -9)

Answered by Charlotte K. Maths tutor
8445 Views

Solve the simultaneous equations: y=x^2+4x-2, y=x+2

Equations: 1). y=x^2+4x-2 2.)y=x+2 x+2=x^2+4x-2 First put equation 1 in equation 2 0=x^2+3x-4 Make one side of the equation equal to 0 0=(x+4)(x-1) Factorise the equations Equations 3).x+4=0 4). x-1=0 One...

Answered by Phoebe A. Maths tutor
2754 Views

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