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3 years ago

Consider the sequence 3, 9, 15, 21, ...

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

Answer:

The ordered pair to represent the second term as an ordered pair is:

(2, 9)

Step-by-step explanation:

Background knowledge about the sequence function

A sequence is defined as the function whose domain is the set of natural numbers (counting numbers).

1, 2, 3, 4, .... n, ....

↓

a₁, a₂, a₃, a₄, .... aₙ, ....

Here,

1 gets mapped onto a₁,

2 gets mapped onto a₂, and so on

The numbers a₁, a₂, a₃, a₄, .... aₙ, .... are the terms of the sequence.

The number aₙ is the nth term of a sequence.

And the sequence function is denoted by {aₙ}.

Given the sequence

3, 9, 15, 21, ...

Here,

a₁ = 3 is the first term

a₂ = 9 is the second term

Thus, the ordered pair to represent the second term as an ordered pair is:

(2, 9)

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Which of the following are the factors of q3 – q2 + 2q – 2?

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$x {}^{3} - x {}^{2} + 2x - 2 \\ \\ x {}^{2} (x - 1) + 2(x - 1) \\ \\ (x - 1)(x {}^{2} + 2)$

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The ice cream man just ended his shift for the day. Let 1/2x^2 6/11x + 8 represent the amount of chocolate ice cream bars he sol

saveliy_v [14]

Answer:

A and D

Step-by-step explanation:

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=(1/2)x2 + (6/11)x + 8 + (5/9)x2 + (2/3) +(1/3)x2 + 4x +(4/3) (Given in the question)

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Difference in chocolate and strawberry bars =[ (1/2)x2 + (6/11)x + 8] - [(1/3)x2 + 4x +(4/3)]

= (1/6)x2 - (38/11)x +(20/3)

So, the correct options are A and D

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3 years ago

Solve the equation: 5|2x-7|=20

MA_775_DIABLO [31]

Answer:

x = $\frac{11}{2}$ , $\frac{3}{2}$

Step-by-step explanation:

First, isolate the absolute value:

5|2x - 7| = 20

divide both sides by 5:

|2x - 7| = 4

break into 2 equations:

2x - 7 = 4, 2x - 7 = -4

solve both equations and collect solutions:

2x = 11, 2x = 3

x = $\frac{11}{2}$ , $\frac{3}{2}$

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Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe

MatroZZZ [7]

Answer:

1) The parabola equation faces up

2) The y-intercept = a·b

3) The zeros are x = a and x = b

Step-by-step explanation:

1) The given information are;

f(x) = (x - a)·(x - b) which gives;

f(x) = x² - (b+a)·x + a·b

For an equation of the form a·x² - b·x + c, if a is positive, then the parabola faces up, therefore, the parabola equation, x² - (b+a)·x + ab where a is equivalent to +1 faces up

2) The y-intercept is given at x = 0, which gives;

f(0) = 0² - (b+a)·0 + a·b

The y-intercept = a·b

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(x - a) = 0 or (x - b) = 0

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3 years ago

Rewrite 16/9 as a mixed number.

PilotLPTM [1.2K]

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Hope this helps!

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