Answer:
Domain:
Range:
Decreases over:
Step-by-step explanation:
Given
--- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:
Solve for x
Hence, the domain is:
To get the range, we plot the values of the domain in the expression.
So, the range is:
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval
Answer:
Step-by-step explanation:
<u>Initial value of house:</u>
<u>Yearly increase rate of value:</u>
<u>Time </u>
Since the increase is concerning the current price it would be exponential growth.
<u>The function would be:</u>
- V(t) = 184000*(1 + 3.5/100)^t, where V is the value after t years
<u>For t= 13 we get:</u>
- V(13) = 184000*(1.035)^13 = 287800
<u>Profit made would be:</u>
Correct option is D.
Answer:
Part 1)
5.5 inches.
Part 2)
Step-by-step explanation:
We can write a linear equation to model the function.
Let <em>y</em> represent the inches of snow and let <em>t</em> represent the number of hours since the end of the snowstorm.
A linear equation is in the form:
Since there was 18 inches of snow in the beginning, our <em>y-</em>intercept or <em>b</em> is 18.
Since it melts at a constant rate of 2.5 inches per hour, our slope or <em>m</em> is -2.5.
Substitute:
This equation models how much snow Jamal will have on his lawn after <em>t</em> hours of snow melting.
So, after five hours, <em>t</em> = 5. Substitute and evaluate:
After five hours, there will still be 5.5 inches of snow.
-6 +8x = -38
8x = -32
x = -4
I did this by first adding 6 to both sides to get 8x by itself. I then divided by 8 to get x by itself. I remembered to use the - - + rule (Two negatives make a positive, a positive and a negative make a negative). Hope this helps!