Creat an equation for a cubic function, in standard form, that has x- intercept given by the set {-3,1,7} and which passes through the points (-2,54)

Given :

Set of x-intercepts {-3,1,7},

point through which it passes (-2,54)

Now,

Step 1: Substitute value of x intercepts in equation, , we get,

              ... equation (1)

Step 2: substitute x an y with the point through which it passes,

∴

Step 3: Now, substituting value of a in equation (1), we have

  (Requited cubic equation)

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.