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Find the gradient of the line on which the points (1,3) and (3,4) lie and find the y-coordinate of the line at x = 7.

The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This shows...
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Answered by Ryan L. • Maths tutor
3832 Views

Solve the following equation 2x^2+6x=8

2x^2+6x-8=0fx^2+3x-4=0(x-1)(x+4)=0x=-4 or x=1
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Answered by Hannah R. • Maths tutor
3400 Views

Tom's dad is 3 times older than him. In 15 years the sum of Tom's and his dad's ages will be equal to 102. How old are Tom and his dad now?

Assume that Tom's age now is x and that his dad's is 3x. Therefore, in 15 years Tom will be x+15 years old and his dad will be 3x+15 years old. Since the sum of their ages will be equal to 102, we can formul...
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Answered by Ewelina F. • Maths tutor
4343 Views

Why does the translation y=f(x+2) translate the graph f(x) 2 units left instead of 2 to the right?

It seems like f(x+2) should translate the graph y=f(x) 2 to the right, it is +2 inside the bracket after all? However, if we think of the translation as actually subbing in x+2 into the equation y=f(x), it m...
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Answered by Seth H. • Maths tutor
11865 Views

find the coordinates of the single stationary point of the curve with equation y=8x^2 + 2/x

rewrite the equation in a more helpful way:y=8x 2 + 2x -1 differentiate:dy/dx = 16x -2x -2 set equal to 0 and solve for x16x -2x -2 = 016x -2/ x 2 =016x= 2/ x 2 16x 3 =28x 3 =1x 3 =1/8x=1/2note: x cannot be ...
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Answered by Pavan R. • Maths tutor
10298 Views