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Solve the following inequality: 2x^2 < x+3

2x2 < x+3, 2x2- x - 3 < 0, (2x - 3) (x + 1) < 0, Positive quadratic. Roots: x = -1 and x = 3/2, Therefore, x takes values greater than -1 and less tha...

OM
3239 Views

Make 'a' the subject of the formula: p = (3a + 5) / (4 - a)

Firstly, multiply the whole equation by (4 - a) to cancel out the denominator, so the equation becomes: p(4 - a) = (3a + 5). Then expand the brackets: 4p - ap = 3a +5. Then rearrange the equation to: 4p -...

GR
Answered by Grace R. Maths tutor
5505 Views

Solve the equation x^3-5x^2+7x-3=0

First start by considering the x0 coefficient which is -3. These include ±3 and ±1. Substituting x=1 into the polynomial produces an answer of 0 which shows that x=1 is a factor of the polynomi...

AL
Answered by Annabelle L. Maths tutor
8150 Views

How many thirds are there in 9?

To understand the question, we have to know what a third is. 1 is made up of three thirds (3/3 presented in a fraction), so in order to obtain 9 we must multiply it by 3. The answer is 27.

KA
Answered by Kasha A. Maths tutor
3887 Views

When do you use each of the SUVAT equations? I am slightly confused about projectile motion.

Motion is a topic in physics that is sometimes hard to understand. When we talk about motion we think about acceleration, velocity, time and displacement. In the case of projectile motion, we usually disc...

JP
Answered by Julieta P. Physics tutor
2790 Views

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