What is the answer to this?

486

Step-by-step explanation:

We start by getting the quotient.

That is f(x) divided by g(x)

We have this as;

f(x)/g(x) = 2x^3/2 divided by x^1/4

By law of indices division, we have this as;

2 * x^(3/2-1/4)

= 2 * x^(1.5-0.25)

= 2 * x^(1.25)

= 2x^5/4

Insert x = 81

That will be;

2 * (81)^5/4

Multiplying this by 2, we have;

2 * 243 = 486

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

6 spoons of sugar for every 21 cups of flour

step-by-step explanation: