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Maths
GCSE

Find the points that the graph "y = x^2 -4x -14" touches the x-axis

(2+3√2, 0)  and (2-3√2, 0)

TC
Answered by Thomas C. Maths tutor
2898 Views

If 4x + 3y = 4 and x + 2y = 2 what are the values of x and y ?

First you need to make either the x value or the y value equal by multiplying each equation by a number.

2( 4x + 3y = 4 ) and 3( x + 2y = 2 ) which equals:

Equation 1: ( 8x + 6y = 8 ) and Eq...

MT
Answered by Max T. Maths tutor
5524 Views

Factorise 15a^2 + ab - 6b^2

15a2+ab-6b2 =(?a+?b)(?a-?b) Factors of 15= 3 and 5 Factors of 6= 2 and 3 If we try (3a+2b)(5a-3b) that gives us 15a2+10ab-9ab-6b2 = 15a2+ab-6b2 therefore the answer is (3a+2b)(5a-3b)

AB
Answered by Aayushi B. Maths tutor
4127 Views

Expand and simplify 5(x+4)-3(2+3x)

5(x+4)-3(2+3x)

Expand first bracket 

5x+20-3(2+3x) 

Expand second bracket

5x+20-6-9x

simplify

14-4x

JF
Answered by Jacob F. Maths tutor
4611 Views

A 4 digit number is picked. It's second digit is a prime number, it must be even and it must be greater than 5000. How many possible numbers can be picked?

This involves the product rule for counting. Step 1: Identify the possible numbers for the first digit 5, 6, 7, 8 or 9 (5 in total) Step 2: Identify the possible numbers for the second digit 2, 3, 5 or 7 ...

TS
Answered by Thomas S. Maths tutor
6659 Views

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