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Factorise and solve the quadratic : 3x^2 + 15x +18 = 0

First we look to see if there is a common factor in the equation. In this case there is a common factor of 3, therefore we can take 3 out as a factor. 3(x 2 +5x +6) = 0 The inside of the bracket is now a sta...
HW
Answered by Holly W. • Maths tutor
5337 Views

The equation of line 1 is: 3y-5x+3=0. The equation of line 2 is : y= 5x/3+9. Check whether the 2 lines intercept.

Rearranging the first equation: 3y=5x-3Then dividing by 3 so that the equation of the line will become in the form of y=mx+c, where m is the gradient and c is the interception point with the y-axis (0,c)We g...
PG
Answered by Panagiotis G. • Maths tutor
3563 Views

Expand the brackets in the following expression and indicate what the graph would look like: y=(5x+1)(2x-3)

While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs. Answer: y = ...
EE
Answered by Edward E. • Maths tutor
3606 Views

How do you divide fractions and mixed numbers

If the question is as such: 3/4 divided by 2/3 you simply reverse the second fraction (making it 3/2) and now multiply the two together. For example, it should now read 3/4 x 3/2 = 9/8. This can then by put ...
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Answered by Nicholas W. • Maths tutor
3901 Views

A cycle race is 3069.25 miles. Juan travels at a speed of 15.12 miles per hour. He cycles for 8 hours a day. Estimate how many days Juan will take to complete the race.

s = d/ t= 3069.25/ 15.12It is an estimated value, so you may use rounded values = 3000/ 15= 200 hours He will be travelling 8 hours every day= 200/ 8= 25 days
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Answered by Harith H. • Maths tutor
17689 Views