Algebra 2 help

Q1: (Algebra 2?)

Q1

2√32 + 5√20 =

2 *√16 * √2  +  5 * √4 * √5  =

2* 4 * √2   +  5*2 * √5  =

8√2  + 10√5

Q2...to find the correct solution...pick a point in the shaded region...I'll pick   (x, y)  =   ( 0,3)

Note that this point satisfies all three equations in the first answer....so this answer is correct

Q3

We have the following system

3x + 2y ≥ 300

.75x + .50y ≤ 100

x ≤ 80

Look at the graph, here :  https://www.desmos.com/calculator/welwdepye5

Four of the given points lie in, or on the boundary of, the feasible region

The only one that doesn't  is ( 40, 80 )  [ the only non-feasible point ]

Q4

( x^4 * y^7) ^(3/4)  =

 ⁴√  [ (x^4)^3 *  (y^7)^3 ] =

⁴√  [x^12 * y^21 ] =

x^3 * y^5  ⁴√  y     ⇒   Third answer

Q5

Time * Rate  =  Distance  ....so.....

Mary drives between  4(40)    = 160 miles   and less than 4(60)  =  240  miles

Since Marty  travels 50  miles more, he travels between  210  and   290  miles