)) The Great Karlo called twins Jasmine and James onto the stage.
Jasmine, multiply your age by 3 and add 6. Then
multiply this sum by 2. James, multiply your age by 2
and add 4. Then multiply this sum by 3. I predict you
will both get the same number!
) A. Write expressions to represent Great Karlo's instructions to
each twin.

Step-by-step explanation:

Let the age of twins Jasmine and James = x years

For Jasmine,

Karlo told Jasmine to multiply her age by 3 and add 6.

Expression will be → 3x + 6

Then multiply this sum by 2,

We get the expression → 2(3x + 6)

Karlo told James to multiply his age b 2 and add 4,

Expression → 2x + 4

Then multiply this sum by 3,

Expression → 3(2x + 4)

A). Expression for Jasmine → 2(3x + 6)

    Expression for James → 3(2x + 4)

sine

step-by-step explanation:

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!