Write the following set in roster form and in set-builder notation.

1 answer:

7 0

Assuming that by greater you mean strictly greater :

Roster form : $P=(-1,0,1,2)$

Set builder notation : $P=\{z\in\Bbb{Z}\mid-2$

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Solve for d: C = pi x d

kkurt [141]

Answer:

d=cπ

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago

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Which shows the correct way to divide 2x^3 + 6x^2 – 2x – 5 by x + 3 using synthetic division?

allochka39001 [22]

Simplifying
x4 + -2x3 + 6x2 + -2x = 5

Reorder the terms:
-2x + 6x2 + -2x3 + x4 = 5

Solving
-2x + 6x2 + -2x3 + x4 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + -2x + 6x2 + -2x3 + x4 = 5 + -5

Combine like terms:
5 + -5 = 0 -5 + -2x + 6x2 + -2x3 + x4 = 0

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Which function rule describes the pattern in the table?

lakkis [162]

The correct answer is B.

In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. Only the correct function rule will yield the corresponding x-value.

Let's prove that option B is the correct one

FUNCTION B y= 5x - 14

If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 CORRECT
If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 CORRECT
If x= 2 --> 5(2) - 14= 10-14= -4, therefore y= -4 CORRECT
If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6 CORRECT
If x= 7 --> 5(7) -14= 35-14= 21, therefore y=21 CORRECT