Answer:
Step-by-step explanation:
Yes, she can use this inequality and it does matter since the number of cars that the inequality provides will need to be equal to or more than that number in order for all the students to be able to go. Therefore, if we apply the inequality it would give us the minimum number of cars needed (n) like so
12 + 3n > 28 ... subtract 12 on both sides
3n > 16 ... divide both sides by 3
n > 5 1/3
Since there can't be 1/3 of a car and the number of cars needed must be higher than 5 1/3 then we would need a total of 6 cars to take all of the children.
Answer:
Smaller number: 12
Larger number: 34
Step-by-step explanation:
Let x represent the smaller number.
Let 3x - 2 represent the larger number (The larger number is two less than three times the smaller number, or x)
x + 3x -2 = 46
Add 3x + x:
4x - 2 = 46
Add 2 to both sides:
4x = 46 + 2
Add 46 + 2:
4x = 48
Divide both sides by 4:
4x/4 = 48/4
x = 12 is the smaller number
Since 12 is the smaller number, and the sum of the two numbers is 46, than the larger number must be 34.
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Answer:

Step-by-step explanation:
Given

Required
The phase
We have:

Rewrite as:

A cosine function is represented as:

Where:
Phase
By comparison:

Hence, the phase is: 