Answer: 
Step-by-step explanation:
Given the polynomial of degree 3:
You can observe make two groups or two terms each:
The Greatest Common Factor (GCF), is the highest number that divides into two or more numbers without leaving remainder.
You can observe that the GCF of both set are factored out (
and 
), then, you can find the common factor that is missing from both sets of parentheses with this procedure:
You can observe that the common factor that is missing from both sets of parentheses is:
Answer:
The amount of money originally invested which is the principal P = 5,000
Step-by-step explanation:
Using the compound interest formula, the return on investment can be represented on the interest function as;
f(x) = P(1+r)^x
Where
P is the principal which is the initial investment.
r = rate Proportion
x = time (number of years)
Comparing to the given function;
f(x) = 5,000(1 + 0.04)^x
We can see that;
Principal P = 5,000
Rate r = 0.04
time = x
The amount of money originally invested which is the principal P = 5,000
The average cost of streaming N movies will be
.. average cost = (total cost)/(number of movies)
.. = (50 +5N)/N
.. = (50/N) +5
You want this value to be 7, so you have
.. 7 = (50/N) +5
.. 2 = 50/N
.. N = 50/2 = 25
25 movies must be streamed to get the average cost down to $7.
Answer:
4.57ft by 1.57 ft
Step-by-step explanation:
We are given that
Emma's square patio has been area=31 sq.ft
One dimension decrease by 1 foot and other dimension decrease by 4 feet.
We have to find the new dimensions of Emma's patio.
Let x be the side of Emma's square patio
We know that
Area of square=
ft
One dimension=
ft
other dimension=
Hence, the new dimension of Emma's patio is given by
4.57ft by 1.57 ft
