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Solve the Simultaneous Equation: 2x + 3y = 15 and 5x + 4y = 13

Primarily, we should attempt to make either the x or y values of either equation be the same value, or the equivalent negative value. This is so we can add or subtract the equations to leave us with one v...

LH
Answered by Luke H. Maths tutor
8004 Views

Differentiate (3x^2-5x)/(4x^3+2x^2)

We can differentiate the expression using the quotient rule. If f(x)=u(x)/v(x) then f'(x)=(u'(x)v(x)-u(x)v'(x))/v(x)^2. In this case u(x)=3x^2-5x so u'(x)=6x-5 and v(x)=4x^3+2x^2 so v'(x)= 12x^2+4...

AI
Answered by Andras Ivan A. Maths tutor
4114 Views

Daniel bakes 420 cakes. He bakes only vanilla cakes, banana cakes, lemon cakes and chocolate cakes. 72 of the cakes are vanilla cakes. 35% of the cakes are banana cakes. The ratio of the number of lemon cakes to the number of chocolate cakes is 4:5 Work

2/7 of 420 = 120 vanilla cakes35% of 420 = 147 banana cakes420 - 120 - 147 = 153 chocolate and vanilla cakes4+5 = 9153/9 = 1717*4 = 68

AF
Answered by Anna F. Maths tutor
17077 Views

Solve the equation x^2-10x+21=0

First of all notice the highest power on this equation is '2' so it must be a quadratic equation. Using the general form Ax^2+Bx+C=0 we must find two numbers that are factors of C and add together to get ...

SS
Answered by Simran S. Maths tutor
5084 Views

A box contains an assortment of 100 coloured marbles, coloured red, blue and green. The ratio of blue balls to green balls is 1:3. If there are 16 red balls in the box, what is the ratio of red balls to green balls, and red balls to blue balls?

The student should state that there are x blue balls. From this, they may determine that overall, the number of blue and green balls combined must be 4x, and hence the number of red balls is therefore '10...

DH
Answered by Daniel H. Maths tutor
2560 Views

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