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MatroZZZ [7]
3 years ago
12

Your current test average in Science is an 81. You’ve taken 5 tests. You only have one test remaining (there is not extra credit

on your test). You can raise your average to an 85.
Mathematics
2 answers:
stepladder [879]3 years ago
8 0
If you want to know what grade is needed to raise your average to an 85, add all tests, then divide by total number of tests to equal average of 85. The x value is the grade needed on the final to raise the overall class grade to an 85.

x= final test


(81 + 81 + 81 + 81 + 81 + x)/6= 85
add in parentheses

(405 + x)/6= 85
multiply both sides by 6

405 + x= 510
subtract 405 from both sides

x= 105 grade needed


ANSWER: Since there is no extra credit, it is impossible to raise the overall average to an 85 because they would need a final test grade of 105.

Hope this helps! :)
Leto [7]3 years ago
5 0
What exactly are you asking?
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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x^5
nata0808 [166]

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The correct option is A.

Step-by-step explanation:

The question is:

According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 – 2x4 + 9x3 – x2 + 12?

A).f(x) = 3x5 – 2x4 – 9x3 + x2 – 12

B).f(x) = 3x6 – 2x5 + 9x4 – x3 + 12x

C).f(x) = 12x5 – 2x4 + 9x3 – x2 + 3

D).f(x) = 12x5 – 8x4 + 36x3 – 4x2 + 48

Solution:

The function given to us is:

3x5 – 2x4 + 9x3 – x2 + 12

Find the factors of 12 and consider it as 'p'

The factors of 12 are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q'

The factors of 3 are:

q = +/- 1 , +/- 3

We know that we write rational terms in p/q form.

Therefore the Rational roots are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Now we will solve the first function given in part A.

f(x) = 3x^5 – 2x^4 - 9x^3 + x^2 - 12

Again find the factors of 12 and consider it as 'p'

The factors are:

p = +/- 1 , +/-2 , +/-3 , +/- 4 , +/-6

Now find the factors of 3 and consider it as 'q' .

q = +/- 1 , +/- 3

Rational root are given by p/q

+/- 1 , +/-2 , +/-3 , +/- 4 , +/-6 , +/- 1/3 , +/- 2/3 , +/- 4/3

Therefore the rational roots of the given function matches the rational roots of the given equation.

Hence the correct option is A

6 0
3 years ago
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