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Schach [20]
3 years ago
10

On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone r

equired to give an answer to each question, what is the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c?
Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

\text{r}=5.5\text{c}-20

Step-by-step explanation:

GIVEN: On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question.

TO FIND: the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c.

SOLUTION:

Total number of incorrect questions =40-\text{c}

Total marks deducted due to incorrect question =(40-\text{c})\times0.5=20-0.5\text{c}

Total correct questions =\text{c}

Total marks scored =6\text{c}

Total raw marks \text{r}=\text{total marks gained}-\text{total marks deducted}

                           \text{r}=6\text{c}-(20-0.5\text{c})

                           \text{r}=5.5\text{c}-20

ormulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c is  \text{r}=5.5\text{c}-20

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Answer:

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General Formulas and Concepts:

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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 3x - 2

f(x + 3) is x = x + 3

<u>Step 2: Find</u>

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3 years ago
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3 years ago
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Leokris [45]
Hey there!

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One more:

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Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.

Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.

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Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.

Therefore, your answer is:

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