Place the graphs in descending order based on their y value as x approaches infinity.

To answer this question, we need to know that as x tends to infinity

the exponential values greatly increase with each passing x.

So the exponential values will always be greater than the linear values, as x increases.

Lets see that with an example

Suppose we have

y1 = 2*x

y2 =  2^x

If we evaluate at x = 5, we can see the difference between the two

y1 = 2*(5) = 10

y2 =  2^(5) = 32

If x = 10, the difference becomes even clearer

y1 = 2*(10) = 20

y2 =  2^(10) = 1024

To order the exponential graphs, we need to place ourselves at an specific value of x and check which graphs has the highest corresponding value of y

So the answer to your question, which is to place in descending order according to the value of y:

*green

*orange

*blue

*red

*yellow

*black

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.