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Solve the following inequality and shade the region to which it applies on a graph. 10x(squared) < 64x - 24

Step 1: Simplify the quadratic by dividing by 2. 5x 2 &lt; 32x - 12 Step 2: Move all terms onto one side of the quadratic. 5x 2 - 32x + 12 &lt; 0 Step 3: Factorise the quadratic. (5x - 2)(x - 6) &lt; 0 Step ...
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Answered by Thomas S. Maths tutor
4090 Views

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

15a 2 +ab-6b 2 =(?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 15a 2 +10ab-9ab-6b 2 = 15a 2 +ab-6b 2 therefore the answer is (3a+2b)(5a-3b)
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Answered by Aayushi B. Maths tutor
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In one second a mass of 210 kg of air enters at A. The speed of this mass of air increases by 570 m s–1 as it passes through the engine. Calculate the force that the air exerts on the engine.

F = M x A (A= (V-U)/T) F = 210 x 570 F = 119,700 N
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Answered by Sam G. Physics tutor
4076 Views

June 2008 C1 Paper Differentiation Question

a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perform...
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Answered by Nicola G. Maths tutor
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Calculate the distance travelled by the ball traveling at 3m/s for 60 seconds

Speed = Distance/Time Speed = 3 Time = 60 Distance = Speed x Time Distance = 3 x 60 = 120m
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Answered by Sam G. Physics tutor
3645 Views