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Find the location and nature of the turning point of the line y=-x^2+3x+2

Location is placed where the gradient is 0.Differentiate the line to get dy/dx = -2x + 3 and set it equal to zero.2x = 3 therefore x = 1.5.Plug back into the line equation to find the coordinate. y = -(1....

Answered by Euan R. • Maths tutor

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Integrate x^2 + 2x + 5x^-1

Answer: (x^3)/3 + x^2 +5 ln (x) .

Answered by John A. • Maths tutor

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Solve x^2 = 4(x - 3)^2

Multiply out brackets
x²= 4(x² - 6x + 9)x²= 4x² - 24x + 36
Minus x² from both sides 3x²-24x + 36 = 0
Divide equation by ...

Answered by Rosie H. • Maths tutor

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Define x and y if 2x+y=16 and 4x+6y=24

These are a pair of simultaneous equations.First, we can equate two of the coefficients in each equation (let's choose x) by multiplying each equation respectively.With our first equation, multiply it by ...

Answered by Bexi H. • Maths tutor

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There are n sweets in a bag. 6 are orange. A random sweet gets eaten, and then a second one. The probability that both sweets are orange is 1/3. Find n.

The probability that the first sweet is orange is 6/n, as 6 of the n number of sweets are orange. After an orange sweet is eaten, there are 5 orange sweets left and n-1 total sweets in the bag. This means...

Answered by Josh G. • Maths tutor

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