d. both a relation and a function:
Given:
Mark records his science scores in each monthly assessment over a period of 5 months. In the first assessment he scores 76%. In the second assessment he scores 73%. After that, his scores keep increasing by 2% in every assessment.
x represents the number of assessments since he starts recording and y represents the scores in each assessment.
In order for a relation to be a function the association has to be unambiguous that means that for a given input only one output can exist.If an input can have two or more outputs then you cannot determine which is the correct output for that input.
In the given situation:
x is the input that is number of assessments since mark starts recording the scores so there is only one assessment no repeating.so there is only one output.
Hence the relation is a function.
Learn more about the function here:
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Answer:
11 inches
Step-by-step explanation:
Let the level of ground level be g
On first day, amount of snow melted by 3 inches
So, level of ground melted= (g- 3) inches
Next day, amount of snow melted by 8 inches
So, level of ground level melted = (g- 3-8 )inches
Hence, total change in the ground level = ( g- 11) inches
Hence, amount of snow on ground level melted by 11 inches
Hence, the correct answer is 11 inches
It’s the first one -13–16
Answer:
Budget annual payroll = $168,480
Step-by-step explanation:
Given:
Expect sales per week = $9,000
Revenue over sales = 36% = 0.36
Find:
Budget annual payroll = ?
Computation:
Assume number of week per year = 52
⇒ Budget annual payroll = Expect sales per week × Number of week per year × Revenue over sales
⇒ Budget annual payroll = $9,000 × 52 × 0.36
⇒ Budget annual payroll = $168,480
Properties of equality have nothing to do with it. The associative and commutative properties of multiplication are used (along with the distributive property and the fact of arithmetic: 9 = 10 - 1).
All of these problems make use of the strategy, "look at what you have before you start work."
1. = (4·5)·(-3) = 20·(-3) = -60 . . . . if you know factors of 60, you can do this any way you like. It is convenient to ignore the sign until the final result.
2. = (2.25·4)·23 = 9·23 = 23·10 -23 = 230 -23 = 207 . . . . multiplication by 4 can clear the fraction in 2 1/4, so we choose to do that first. Multiplication by 9 can be done with a subtraction that is often easier than using ×9 facts.
4. = (2·5)·12·(-1) = 10·12·(-1) = (-1)·120 = -120 . . . . multiplying by 10 is about the easiest, so it is convenient to identify the factors of 10 and use them first. Again, it is convenient to ignore the sign until the end.
5. = 0 . . . . when a factor is zero, the product is zero
