Complete the table of values for $y=\dfrac1{10}\left(x^2+\dfrac7x\right)$. Values are given t

Question

Complete the table of values for $y=\dfrac1{10}\left(x^2+\dfrac7x\right)$. Values are given to one decimal place where appropriate.[1] $x$$0.6$$1$$1.5$$2.2$$3.1$$4$$5.1$$5.8$ $y$$1.2$$0.8$$0.7$$0.8$$1.8$$2.7$$3.5$ On the grid, draw the graph of $y=\dfrac1{10}\left(x^2+\dfrac7x\right)$ for $0.6\leq x\leq5.8$.[3] Using your graph, estimate the value(s) of $x$ for which $x^2+\dfrac7x=20$, where $0.6\leq x\leq5.8$.[2] On the same grid, draw the graph of $3y-x=3$ for $0.6\leq x\leq5.8$.[1] Write down the $x$-coordinates of the points where the line intersects the curve.[2] These values of $x$ are solutions of the equation $3x^3+Ax^2+Bx+21=0$. Find the value of $A$ and of $B$.[3] By drawing a tangent, find the gradient of the curve where $x=2.2$.[2]

Accepted Answer

(a) $1.2$. (c) $4.29$. (d)(i) $y=x/3+1$; (ii) $0.60,5.04$; (iii) $A=-10,B=-30$. (e) About $0.30$.

2025 CHS PRELIMS P2 Q6

2025 CHS PRELIMS P2 Q6

Solution:

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