1) consistent system. at least one solution.
2) inconsistent system. no solutions (the lines are parallel)
3) dependent system. equations have same slope and y-intercept(same line)independent system.
4) equations have different slopes(2 intersecting lines)
im not sure if thats what you were looking for
Hey there!
Let's first simplify this expression using our rules of exponents.
We know that:
1)

And:
2)

Finally:
3)

One more:
4)

Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:

Hope this helps!
Using limits, it is found that since
, the company is expected to operate at a loss, hence it is not expected to be successful.
The revenue function is given by:

<h3>Limit:</h3>
- The projected revenue over the long-term is given by the limit of f(x) as x goes to infinity.
Then:

Since the limit is negative, the company is expected to operate at a loss, hence not being successful.
To learn more about limits, you can take a look at brainly.com/question/24821129
Answer:
x^2-16
Step-by-step explanation:
Foil Method
(x*x+4x-4x-16)
x^2-16
Answer:
0.155
Step-by-step explanation:
nth term of a geometric sequence = ar^n-1
Where,
a = first term
r = common ratio
n = number of terms
Given:
100, 80, 64,...
a = 100
r= 80/100
= 4/5
30th term of a geometric sequence = ar^30-1
= ar^29
= 100 × (4/5)^29
= 100 × (0.8)^29
= 100 × 0.00155
= 0.155
Therefore,
30th term of the geometric progression = 0.155