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The lines y = 3x² - x + 5/2 intersects the line y = x/2 +7 at two points. Give their coordinates. Show your working

y= 3x 2 -x +5/2 = 0.5 x +76x 2 -2x +5 = x+146x 2 - 3x -9 = 0 = 2x 2 - x -3(2x-3)(x+1) = 0 x = -1 or x = 1.5y = 6.5 or y = 7.75
Answered by • Maths tutor
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The value of a new car is £18,000. The value of the car decreases by 25% in the first year and 12% in each of the next 4 years. Work out the value of the car after 5 years?

The initial value of the car is 18000. To subtract 25% of 18000 one must times 18000 by 0.75 which equals 13500. Next, one must times 13500 by 0.88 to the power of 4 which equals 8095.89 to 2 decimal places ...
LB
Answered by Lottie B. • Maths tutor
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Marcin buys 7 rulers and 15 crayons for £7. A ruler costs 12p more than a crayon. Find the cost of one crayon.

To solve this problem we're going to use an equation. First let's write down the information that we do know.Let's use (r) for ruler and (c) for crayon. So 7 rulers and 15 crayons cost £7 (or 700 pennies) --...
ED
Answered by Emily D. • Maths tutor
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Find the equation of the line that passes through the (4,6) and (9,-4)

First write out the general equation, y = mx + c where m = gradient and c = the Y-interceptFind the gradient m= change in y/change in xM= (-4,-6)/(9-4) = (-10)/(5) = -2Find c by substituting in either of the...
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Answered by Brooke F. • Maths tutor
3050 Views

Expand 2a (4 + a)

To expand is just to multiply out. We will multiply everything inside the bracket by everything inside so it becomes 2a x 4 + 2a x a Then we use bidmas to get: 8a + 2a^2
TC
Answered by Tatiana C. • Maths tutor
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