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Maths
GCSE

Expand 5yx^2 (3x^3 - 5xy + wy^2)

To do this we must multiply each of the individual terms inside the brackets by the outside terms. Be cautious of the negative term and its corresponding sign. We will go over the method in the uploaded f...

IN
Answered by Ishaaq N. Maths tutor
2890 Views

By plotting appropriate graphs, find x to the nearest integer if x^2+3=2-4x.

Plot the graphs y=x^2+3 and y=2-4x. The solution(s) are the point(s) of intersection. The graphs can be plotted by making a table of values; this is the best method for the quadratic curve. The straight l...

SH
Answered by Samuel H. Maths tutor
2675 Views

Find dy/dx for the following equation: f(x) = x^7 + 7x

Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can di...

TS
Answered by Tola S. Maths tutor
2373 Views

A straight line passes through the point (0, 6) and is perpendicular to y = 4x - 5. Find the equation of this line, giving your answer in the form y = mx + c .

perpendicular so the gradient is -1/4
y= -1/4x +CSub in the coordinate (0,6)
6 = -1/4 (0) +C
C=6y=-1/4x +6

MS
Answered by Maria S. Maths tutor
7306 Views

factorise x^2 - 8x -65

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These als...

KC
Answered by Kavi C. Maths tutor
4399 Views

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