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slega [8]
3 years ago
13

Sally generates an input-output table using two rules. The input rule is “add 2 2” and the starting number is 3 3. The output ru

le is “add 4 4” and the starting number is 6 6. The table is shown. ​ ​ Which ordered pairs follow the same rules as the pattern in the table? Select two answer choices. A (9,12)(9,12) B (11,22)(11,22) C (15,25)(15,25) D (17,36)(17,36) E (21,42)(21,42)
Mathematics
1 answer:
boyakko [2]3 years ago
7 0

9514 1404 393

Answer:

  B  (11, 22)

  E  (21, 42)

Step-by-step explanation:

The numbers in the input sequence are ...

  i_n=i_1+d(n-1)\\\\i_n=3+2(n-1) = 2n+1

The numbers in the output sequence are ...

  o_n=o_1+d(n-1)\\\\o_n=6+4(n-1)=4n+2=2(2n+1)\\\\o_n=2\times i_n

So, the ordered pairs we're looking for have an output value that is double the input value.

The two that match this characteristic are ...

  B(11, 22) and E(21, 42)

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Please help me with this math question!
barxatty [35]
1) Change radical forms to fractional exponents using the rule:
The n<span>th root of "</span>a number" = "that number" raised to the<span> reciprocal of n.
For example </span>\sqrt[n]{3} =   3^{ \frac{1}{n} }.

The square root of 3 (\sqrt{3}) = 3 to the one-half power (3^{ \frac{1}{2} }).
The 5th root of 3 (\sqrt[5]{3}) = 3 to the one-fifth power (3^{ \frac{1}{5} }).

2) Now use the product of powers exponent rule to simplify:
This rule says a^{m} a^{n} = a^{m+n}&#10;. When two expressions with the same base (a, in this example) are multiplied, you can add their exponents while keeping the same base.

You now have (3^{ \frac{1}{2} })*(3^{ \frac{1}{5} }). These two expressions have the same base, 3. That means you can add their exponents:
(3^{ \frac{1}{2} })(3^{ \frac{1}{5} })\\&#10;= 3^{(\frac{1}{2} + \frac{1}{5}) }\\&#10;= 3^{\frac{7}{10}}

3) You can leave it in the form 3^{\frac{7}{10}} or change it back into a radical \sqrt[10]{3^7}

------

Answer: 3^{\frac{7}{10}} or \sqrt[10]{3^7}
6 0
4 years ago
Bryan created a scale drawing of his rectangular bedroom. His drawing had dimensions of 6 inches by 8 inches. If the scale that
vlabodo [156]

Answer:

56 feet

Step-by-step explanation:

If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.

6(2)

= 12

8(2)

= 16

So, the actual dimensions of his room are 12 feet by 16 feet.

To find the perimeter, use the perimeter formula, P = 2l + 2w.

Plug in the length and width:

P = 2l + 2w

P = 2(12) + 2(16)

P = 24 + 32

P = 56

So, the perimeter of his actual room is 56 feet.

6 0
3 years ago
Evaluate the expression without using a calculator: log10^3x-2y
Kruka [31]

Answer:

3x-2y

Step-by-step explanation:

log10^(3x-2y)

We know the base is base 10 since it is not written

log10 10^(3x-2y)

The log10 10 cancels

3x-2y

3 0
4 years ago
Read 2 more answers
The number - 12/16 can be reduced as​
liberstina [14]

Answer:

3/4

Step-by-step explanation:

<u>1</u><u>2</u> divide 4 <u>3</u>

16 divide 4 4

5 0
3 years ago
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0.12 word form decimal
7nadin3 [17]

Answer:

0.12=zero point one two

Step-by-step explanation:

6 0
4 years ago
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