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Maths
GCSE

how do you find intersections between two graphical functions?

When two lines intersect, the point of intersection will be a finite set of coordinates which can be obtained from the equation of either line. A sketch of the the functions will help you identify how man...

Answered by William J. Maths tutor
2163 Views

Solve the inequality 5x^2 + x - 3 = 1

  1. Set the equation equal to 0, which would be 5x^2 +x - 4 = 02) Split the equation into 2 brackets. To do this, one bracket will be (5x+ or - something) and the other will be (x + or - something), as ...
Answered by Grace S. Maths tutor
2743 Views

How can I find the size of an angle in a right-angled triangle if I know the lengths of two of the sides?

We can find any angle in a right-angled (RA) triangle if we know the lengths of two of the sides, using SohCahToa.
The first step is to identify which of the sides we know. There are three sides in a...

Answered by Sarah M. Maths tutor
3182 Views

There are 700 students in a high school. 10% of them play team sports. 36 students play football, and 22 students play both football and basketball. When choosing one student from the school, what is the probability of them playing basketball only?

We know that 10% play team sports, that means 700*0.1=70 students play team sports. Out of those 70, 36 students play football, 22 play both sports, that means 36-22=14 play football only. Let's draw a di...

Answered by Dorottya T. Maths tutor
2521 Views

Find a solution for the following simultaneous equations: 2x+y=5 and 2x-5y=2

Subtract the 2nd equation from the first: 2x--2x+y+6y=5-2 <=> 7y=3 <=> y=3/7Input the value of y into one of the equations: 2x+3/7=5 <=> 2x=(35-3)/7 <=> x=16/7

Answered by Darshil C. Maths tutor
3040 Views

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