Find the values of y: 3y^3(y^2+ 2/3y)=0

Step-by-step explanation:

The product is zero if one of the factors is equal to zero. Therefore

y =0   y = -2/3

Step-by-step explanation:

3y^3(y^2+ 2/3y)=0

Factor out a y

3y^3 *y (y+2/3) =0

3y^4 (y+2/3) =0

Using the zero product property

3y^4 =0    y+2/3 =0

y^4 = 0  y+2/3-2/3 =0

y =0   y = -2/3

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

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.