Answer:
-2
Step-by-step explanation:
First, you need to find the equation.
f(x) = -3x + b
Now we need to find the y-intercept.
f(x) = -3x + b
f(-9) = -3(1) + b
-9 = -3 + b
-6 = b
f(x) = -3x - 6
The zero of f means that f(x) = 0
f(0) = -3x - 6
f(6) = -3x
x = -2
Considering the volume of the cone, it is found that each triathlete sloshed out 9.5 cm³ of water.
<h3>What is the volume of a cone?</h3>
The volume of a cone of <u>radius r and height h</u> is given by:
V = 1/3 x r² x h
In this problem, the radius and the height are given as follows:
r = 3.5 cm, h = 7 cm.
Hence the total volume is:
V = 1/3 x 3.5² x 7 = 28.6 cm³
The triathletes sloshed out 1/3 of that, hence:
1/3 x 28.6 = 9.5 cm³.
More can be learned about the volume of a cone at brainly.com/question/14281550
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Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
<u>Gifts Bags --> 6/7 hours</u>
x = time together
= rate of completion
Aunt 1 =
Grandma 1 =

<u>Centerpieces --> 7/4 hours</u>
x = time together
= rate of completion
Mom =
Aunt 2 = 



<u>Balloons --> 15/16 hours</u>
x = time together
= rate of completion
You =
Grandma 2 = 



Shortest amount of time to complete all tasks is:
≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.
Answer:
10/12
15/16
13/16
Step-by-step explanation:
each time you divide each of these they are over .5 or 50%
Answer:
14
Step-by-step explanation:
20-6=14
x=14