addmaths f4

Express :

2ⁿ⁺¹ - 3 ( 2ⁿ ) + 7( 2^{n -1} ) in the simplest form.

• $5\left(2^n\right)$

• $\frac{5}{2}\left(2^n+1\right)$

• $\frac{5}{2}\left(2^n\right)$

• $5\left(2^n-1\right)$

Given the curve  $y=x+\frac{1}{2x^2}$  , find the turning point

• (1, 3 )

• ( 3 , 1 )

• ( 3/2, 1 )

• (1, 3/2 )

Find the range of values of x if  $x^2\ge16$  

•  $x\ge4,\ x\le-4$  

•  $x\ge\pm4$  

•  $-4\le x\le4$  

•  $-4\ge x\ge4$  

Given g(x) = 6 – 5x, find value of m when g^-1(m) = -4

• 30

• 22

• 26

• 33

Given g(x) = 6 – 5x, find value of m when g^-1(m) = -4

• 30

• 22

• 26

• 33

Given the graph   $h\left(x\right)=k-2\left(r-x\right)^2$  has a maximum point of (5 , -4). Find the value of k  and r.

• r=5, k=4

• r=-5, k=4

• r=-5, k=-4

• r=5, k=-4

 Find the value of  $\log_x\frac{1}{64}=-2$  

• x = 8

• x = -8

• x = 4

• x = -4

Find   $\frac{\text{d}x}{\text{d}y}$  for  $\frac{6x-8}{3x}$  

•  $8x^2$  

•  $\frac{8}{3}x^2$  

•  $\frac{8}{3x^2}$  

•  $\frac{8}{x^2}$  

 Find the value of k if the straight line  $y=kx+2$ is parallel to the straight line   $8x-2y+1=0$  

• k = -4

• k= 3

• k = 2

• k= 4

Given set of data 1, 3, 4, 6, 7, 7 and 9 , determine the interquartile range of this set.

• 7

• 4

• 3

• 5