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Oksi-84 [34.3K]
3 years ago
11

The ordered pairs (1,2),(2,4),(3,8),(4,16), and (5,32) represent a function?

Mathematics
2 answers:
kondaur [170]3 years ago
8 0
I know the first one is b.
Naddik [55]3 years ago
3 0

Answer:

1. The answer for the first question is c.

2. The answer for the second question is d.

Step-by-step explanation:

1. The idea to solve this exercise is to evaluate the given functions in the points {1,2,3,4,5} (notice that these are the x component of the ordered pairs) and then eliminate the different possibilities.

  • The option a. cannot be because 1²=1, which is different from 2 (recall the ordered pair (1,2)).
  • The option b. cannot be because 2*3=6, which is different from 8 (recall the ordered pair (3,8))
  • The option c. is the answer, notice that 2¹=2, 2²=4, 2³=8, 2⁴=16 and 2⁵=32.
  • The option cannot be, because 1+2=3, which is different from 2 (recall the pair (1,2)).

2. The idea is the same of the above.

  • The option a. cannot be because 1²=1, which is different from 16 (recall the pair (1,16)).
  • The option b. cannot be because 2+15=17, which is different from 25 (recall the pair (2,25)).
  • The option c. cannot be because 2(1+3)=8, which is different from 16 (recall the pair (1,16)).
  • By elimination this should be the correct answer. Anyway, it is no difficult to check that (1+3)²=16, (2+3)²=25, (3+3)²=36, (4+3)²=49 and (5+3)²=64.

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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term ​
Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

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ale4655 [162]

Answer:

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Step-by-step explanation:

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                   - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

        What are the coefficients in the polynomial 4x²+3x-3?

\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond

<u>Coefficient:-</u>  A number before a variable

<u>Coefficients in this polynomial:-</u>

4 (the number before x²) and 3 (the number before x)

<h3 />

So we conclude that the right option is:-

\bigcirc\!\!\!\!\!\large\checkmark 4, 3 (Option B)

<h3>Good luck.</h3>

            - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

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Answer:

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