Ju chan solved the previous question by finding the expression 4(-15).

which addition problem would give the same result? choose all that apply.
15 + 15 + 15 + 15
4 + 4 + 4 + 4
(–1)(15 + 15 + 15 + 15)
(–15) + (–15) + (–15) + (–15)

(-1)(15+15+15+15)

(-15)+(-15)+(-15)+(-15)

Step-by-step explanation:

1. The multiplication shown in the problem above is:

4(-15)

The product is -60

4(-15)=-60

2. The multiplication above could indicate that:

- The number -15 is added 4 times.

- The number 15 is added 4 times and then is multiplied by -1.

- The number -4 is added 15 times.

- The number 4 is added 15 times and then is multiplied by -1.

 Keeping these on mind, you can conclude that the correct options are the third option and the last option:

(-1)(15+15+15+15)=(-1)(60)=-60

(-15)+(-15)+(-15)+(-15)=-15-15-15-15=-60

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.