Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined y
ou would need 9 containers to store the 14 cups of sugar.
They show you their calculations:
Answer the following questions.
What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake
How many containers are needed to store the leftover sugar?
They show you their calculations:
Answer the following questions.
What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake
How many containers are needed to store the leftover sugar?
1 answer:
Answer:
21 containers
Step-by-step explanation:
When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, . Whoever drew the calculations made the mistake of forgetting to flip the second fraction.
The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.
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The equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
<h3>How to find the function which was used to make graph?</h3>There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
<h3>What are some properties of a cosine function?</h3>Suppose that we've got:
Then, this function has:
- Period =
- Phase shift =
- Maximum value: a + d
- Minimum value: -a + d
For this case, we're given that:
- The function crosses y-axis at y = -3
- The maximum value of the function is y = 1
- The minimum value of the funciton is y = -3
- It goes through 1 cycle at pi.
All the options are of cosine function, so let the function be:
Then, as per the given data about max and min. values, we get:
d+a=1
d-a = -3
Adding both equations,
2d = -2 => d = -1
Thus, -1+a = 1, and therefore a = 2
Since it goes through 1 cycle at pi, so its period = π
Thus, we get:
Now since there is only third option which has d= -1, and b =2 so assuming at least one option was true, we get the needed function as described by the option C.
Thus, the equation of the function which is graphed on the right is specified by: Option C: y = -2cos(2(x + π)) -1
Learn more about amplitude and period of a cosine function here:
