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Viefleur [7K]
3 years ago
5

I honestly don't even know where to start //// on his last 4 tests , Danilo scored 55% 78% 84% and 93%. What score should he get

on the next test so that his average on all five tests is 80%?
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

The answer to your question is He must get 80%

Step-by-step explanation:

Data

Scores 55%, 78%, 84%, 93% and X

Average 80%

Process

1.- Write a equation to solve this problem

- There are five scores

Score 1 = S1 = 55

Score 2 = S2 =  78

Score 3 = S3 = 84

Score 4 = S4 = 93

Score 5 = S5 = X

Equation

               Average = (S1 + S2 + S3 + S4 + S5) / 5

- Solve for S5

               5 Average = S1 + S2 + S3 + S4 + S5

               S5 = 5 Average - S1 - S2 - S3 - S4

- Substitution

               S5 = 5(80) - 55 - 78 - 84 - 93

- Simplification

               S5 = 400 - 310

- Result

               S5 = 90

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Shift 4 units down: g(x) = 2x - 10

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<u>Stretching f(x) by 4 </u>

Stretching a function by some units is represented as:

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In this case:

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<u>Shift 4 units left</u>

Shifting a function to the left is represented as:

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In this case:

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Substitute expression for f(x) and 4 for b in g(x) = f(x - b)

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f(x - 4) = 2x - 14

Hence:

g(x) = 2x - 14

<u>Compress by 1/4 units </u>

This means that the function is stretched by 1/\frac{1}{4}

Compressing a function is represented as:

g(x) =f(bx)

In this case:

b = 1/\frac{1}{4}

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f(4x) = 2(4x) - 6

f(4x) = 8x - 6

Hence:

g(x)  = 8x - 6

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