The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3
are​

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

For finding the x intercept , equate the given function with 0, we have ;

Equate each factor with 0 ,

Divide both sides by 2 ,

Again ,

Taking squareroot on both sides,

Add 5 to both sides,

Similarly ,

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )