See attachment for the graph of the piecewise function h(x)
<h3>How to plot the function?</h3>
The function is given as:
h(x) = | -4, x < 3
| x + 5, x >= 3
The above function is a piecewise function.
It has 2 separate functions at two domains
This means that we plot the sub-functions in the piecewise function at their respective domain
See attachment for the graph of the piecewise function h(x)
Read more about piecewise function at:
brainly.com/question/27262465
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Hi there!!
First, we are going to find the improper fraction of each mixed number.
10 1/3 >>>>> 10*3+1=31 31/3
2 2/3 >>>>> 2*3+2=8. 8/3
5 1/3 >>>>>> 5*3+1 = 16. 16/3
TO find the reciprocal, we switch the numerator with the denominator.
31/3 changes to 3/31, 8/3 changes to 3/8, and finally 16/3 changes to 3/16.
Your answer is:
3/31
3/8
3/16
Hope this helps! Let me know if you have any questions:)
Answer:
Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each
Step-by-step explanatChocion:
Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.
From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.
Covert to a common denominator to help:
A LCD is 24.
12/24, 20/24, and 15/24
So 12/24, 15/24, 20/24
Convert back into their original denominators:
1/2, 5/8, 5/6.
F.
The answer is 2268pi ft^3
