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LUCKY_DIMON [66]
2 years ago
11

Denise has taken four math tests this semester and

Mathematics
1 answer:
Viefleur [7K]2 years ago
4 0

Answer:

93

Step-by-step explanation:

Setup an equation. Add the 5 tests together, the unknown test will be represented by x, Since there are 5 tests total, you will divide by 5. to find the average.

\frac{89 + 85+96+87+x}{5} = 90

To solve first multiply both side by 5.

(5) \frac{89 + 85+96+87+x}{5} = 90 (5)

89 + 85+96+87+x = 450

Add the left side and then solve for x

357 + x = 450

Subtract 357 from both sides

357 - 357 + x = 450 - 357

x = 93

The last test has to be a score of 93 to get an average of 90.

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3 years ago
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Mama L [17]

Answer:

She is not breaking even. The discounted price is .84t, which is less than t.

Step-by-step explanation:

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2 years ago
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Effectus [21]

Answer:

Step-by-step explanation:

a) 1) Polynomial is closed under addition. In polynomial addition, only the coefficient change and variables and it powers does not change.

Example: Add 3x² - 2x + 7  and -2x² - 5x + 3

3x² - 2x + 7 - 2x² - 5x + 3 = 3x² -2x² - 2x - 5x + 7 + 3

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2)Polynomial    is closed under addition. In polynomial subtraction, only the coefficient change and variables and it powers does not change.

Example: Subtract 3x - 2 from 4x + 2

4x + 2 - (3x - 2) = 4x + 2 - 3x + 2  = 7x + 4

3) Polynomial is closed under multiplication. In this, exponents of the variables are added according to the exponent rule. As the exponent of polynomials are whole numbers and whole numbers are closed under addition, the result will be a whole number.

-2x³ * 3x² = -3*x^{3+2}=-3x^{5}

4) Polynomial is not closed under multiplication. In division, we may get a negative exponent. So, it is not closed under division.

\dfrac{x^{4}}{x^{9}}=x^{4-9}=x^{-5}\\\\x^{-5} \ is \ not \ a \ polynomial.

                                 Addition        subtraction  multiplication   Division

Natural numbers          yes             not closed    Yes                   Not closed

Integers                        Yes                 Yes              Yes                   not closed

Rational numbers         Yes                 Yes              Yes                     not closed

Irrational numbers       not closed   not closed   not closed   not closed

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solmaris [256]

Answer:

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