Answer:
a. (-5.236,0) and (-0.764,0) b. (-29,0) and (74,0)
Step-by-step explanation:
I graphed both of the equation on the graphs below.
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Caroline bakes brownies to give to her friends. She starts with 48 brownies and gives a brownie to 6 friends each hour until she
has none left.
Use the Segment tool to plot a graph representing the number of brownies Caroline has left to give away from the time she begins giving them away until she has no brownies left.
Use the Segment tool to plot a graph representing the number of brownies Caroline has left to give away from the time she begins giving them away until she has no brownies left.
2 answers:
Answer: The below figure shows the graph of the given situation.
Step-by-step explanation:
Since, at first Caroline has brownies= 48
And, according to the question, it is decreasing by 6 per hour.
Then, the function of the given situation can be written as,
f(x)=48 - 6 x, ------ (1)
where, x is the number of hours and f(x) is the number of brownies Caroline has left in x hour.
Thus by substitution x= 0,1,2,3,4,5,6,7,8 in equation (1),
We get, f(x)=48, 42, 36, 30, 24, 18, 12, 6, 0
So, the function has points, (0, 48), (1, 42), (2, 36), (3, 30), (4, 24), (5,18 ),(6,12 ) (7, 6) (8, 0).
With help of the above points we can draw the graph of the given situation.
Note: since at x=8, f(x)=0 therefore after 8 hours she has no brownies left.
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Answer:
<h2>x = 12</h2>Step-by-step explanation:
You can use the midpoint formulae as I have in the picture below
Work the information to set inequalities that represent each condition or restriction.
2) Name the variables.
c: number of color copies
b: number of black-and-white copies
3) Model each restriction:
i) <span>It takes 3 minutes to print a color copy and 1 minute to print a black-and-white copy.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He needs to print at least 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) And must have the copies completed in no more than 12 minutes ⇒</span>
3c + b ≤ 12
<span />
4) Additional restrictions are c ≥ 0, and b ≥ 0 (i.e. only positive values for the number of each kind of copies are acceptable)
5) This is how you graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the first quadrant.
iv) The final region is the intersection of the above mentioned shaded regions.
v) You can see such graph in the attached figure.
2) Name the variables.
c: number of color copies
b: number of black-and-white copies
3) Model each restriction:
i) <span>It takes 3 minutes to print a color copy and 1 minute to print a black-and-white copy.
</span><span>
</span><span>3c + b
</span><span>
</span><span>
</span><span>ii) He needs to print at least 6 copies ⇒ c + b ≥ 6
</span><span>
</span><span>
</span><span>iv) And must have the copies completed in no more than 12 minutes ⇒</span>
3c + b ≤ 12
<span />
4) Additional restrictions are c ≥ 0, and b ≥ 0 (i.e. only positive values for the number of each kind of copies are acceptable)
5) This is how you graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the first quadrant.
iv) The final region is the intersection of the above mentioned shaded regions.
v) You can see such graph in the attached figure.