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rjkz [21]
3 years ago
9

Jenny asked 12 students how many courses they have taken so far at her college. Here is the list of answers.

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer: 75%

Step-by-step explanation:

Only 9 students have taken fewer than 21 courses

9/12 = 0.75 or 75%

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A student said that the relation{(-2,3),(4,4),(4,5),(5, -8)} is a function. Do you agree? Why or why not?
JulijaS [17]

Answer:

Step-by-step explanation:

Disagree.  (4, 4) and (4, 5) show that for a single input, 4, there are two distinct outputs (4 and 5).  In a function no more than 1 output can be associated with a given input.

The given relation is not a function.

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3 years ago
(x 4 - 3x 3 + 3x 2 - 3x + 6) (x - 2)
Vlada [557]

Answer:

x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12

Step-by-step explanation:

(x ^4 - 3x^3 + 3x^2 - 3x + 6) (x - 2)

Distribute the x to all the terms in the first parentheses

(x^ 4  *x - 3x^ 3  *x + 3x^ 2   *x - 3x   *x + 6*x)

Then simplify

(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x)

Distribute the -2 to all the terms in the first parentheses

(x^ 4  *(-2) - 3x^ 3  *(-2) + 3x^ 2   *(-2) - 3x   *(-2) + 6*(-2))

Then simplify

(-2x^4 +6x^3 -6x^ 2 +6x -12)

Add the terms together

(x^5 - 3x^4 + 3x^ 3 - 3x2 + 6x) +(-2x^4 +6x^3 -6x^ 2 +6x -12)

x^5 - 5 x^4 + 9 x^3 - 9 x^2 + 12 x - 12

4 0
4 years ago
Where did the formula of sphere comes from
Elina [12.6K]

Answer:

Archimedes was the first to derive this formula.

Step-by-step explanation:


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3 years ago
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Step-by-step explanation:

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4 years ago
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