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Sketch a graph of the equation of y=2x+5

From the format of the equation which is y=mx+c you can tell that it is a straight line graph. in the equation m means gradient which in this question is 2 and c is the y-intersect which in this question is ...
IA
Answered by Iebad A. • Maths tutor
11332 Views

What is the sum of the first 10 terms of the geometric series 32 + 16 + 8 + ... ?

Here we need to use the formula for the sum of a geometric series up to n terms: s = a*(r^n-1)/(r-1). In this formula, 'a' is the first term of the series, 'r' is the common ratio between each consecutive te...
EC
Answered by Eleanor C. • Maths tutor
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Find the set of values of x for which 3x^2+8x-3<0.

This is a question involving inequalities. An inequality is a statement about real numbers involving one of the symbols &gt;, ≥, ≤, &lt;. In our question we have to find when function f(x)=3x^2+8x-3 is less ...
HG
Answered by Huong Giang T. • Maths tutor
21320 Views

Show that n²-n-90=0

FULL QUESTION: here are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another sweet fr...
VM
Answered by Vihaan M. • Maths tutor
10866 Views

Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.

This is a past exam question from a real GCSE paper, and is an example of &quot;completing the square.&quot; I will show you 4 steps for answering this question. ¬¬¬ The first step is to check whether the x^...
EY
Answered by Emily Y. • Maths tutor
27982 Views