Answer and Step-by-step explanation:
This is negative slope (or a downwards negative slope).
When the slope is negative, the line goes from right to left from top to bottom.
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1) Final expression: 
2) Final expression: 
Step-by-step explanation:
1)
The first expression is

First, we remove the 2nd bracket by changing the sign of all the terms inside:

Now we group the terms with same degree together:

Now we solve the expression in each brackets:

So, this is the final expression.
2)
The second expression is

We apply the distributive property, so we rewrite the expression as follows:

Solving both brackets,

Now we group terms of same degree together:

And solving each bracket,

So, this is the final expression.
Learn how to simplify expressions:
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Part A:
Consider from x = -5 to x = -4, they are 1 unit apart and the difference of their outputs is given by:
-3 - (-11) = -3 + 11 = 8.
Thus, the value of the output increases by 8 units for each one unit increase in the input.
Part B:
Consider from x = -3 to x = -1, they are 2 units apart and the difference of their outputs is given by:
21 - 5 = 16.
Thus, the value of the output increases by 16 units for each two units increase in the input.
Part C:
Consider from x = 0 to x = 3, they are 3 units apart and the difference of their outputs is given by:
53 - 29 = 24.
Thus, the value of the output increases by 24 units for each three units increase in the input.
Part D:
It can be noticed that the ratio difference in the outputs to the input intervals are equal for all the given input intervals.
i.e 8 / 1 = 16 / 2 = 24 / 3.
Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:

Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:

We will simplify this first a bit by dividing 2000 by 1150 to get

To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.
Answer:
4 attendees
Step-by-step explanation:
we can create and equation (x is the amount of attendees) $8 per attendee at a total of $32 is 8x=32 which you divide on both sides getting x=4 or 4 attendees