Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?

Mathematics

1 answer:

AlekseyPX3 years ago

7 0

Answer:2(x+1/2x)+3=105

Step-by-step explanation: that is how i got my answer. If not a similar answer i would go with 2x+3=3x+105.

You can automatically eliminate the first answer. The second one has a random 5, so eliminated. and the last one just isn't correct.

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How many times larger is 14000 than 140

vampirchik [111]

Answer:

100x

Step-by-step explanation:

140 x 100 = 14,000

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3 years ago

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Write the explicit formula

Margaret [11]

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

$A_n=a_1(r)^{n-1$ where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

$A_n=2(3)^{n-1$ and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.