Answer:
No. 5x and 5x² are not like terms.
When a variable is raised to two different powers, they can not be added together.
Another way to look at it is to note that:
5x + 5x² ≡ 5x(1 + x)
It is more obvious there that 1 and x are not like terms, thus neither are 5x and 5x², though they do have common factors.
It takes 9 seconds to hit the ground.
Setting the equation equal to 0, we have:
0 = 144 + 128t - 16t²
Factoring out the GCF, we have
0 = 16(9 + 8t - t²)
Factoring out -1, we have:
0 = -16(-9 - 8t + t²)
In standard form, this is
-16(t² - 8t - 9) = 0
This is easily factorable; -9(1) = -9 and -9+1 = -8:
-16(t-9)(t+1) = 0
Using the zero product property, we know either t-9=0 or t+1=0; therefore t=9 or t=-1. Since negative time makes no sense, t=9.
To represent all the possible answers this would represent you would write the following inequality:
z < 34
This tells us that any number less than 34 is a possible solution. We call all of the answers that are possible a solution set.
It takes 4.5 hours for one inch of snow
Answer:
Just be yourself
Step-by-step explanation: