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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 f...

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), i...

rewrite the equation in a more helpful way:y=8x² + 2x^-1 differentiate:dy/dx = 16x -2x^-2set equal to 0 and solve for x16x -2x^-2 = 016x -2/ x²=016x= 2/...

To find out how many students take French, start by finding out how many boys take it, and then how many girls, and the sum of these will be the total number of students taking French.There are 720 boys, ...

Let's start by recalling that two lines are parallel when their gradients are equal. We know that the gradient of the line y=mx+c, is m. So the gradient of L1 is 5 as the equation of the line is already i...