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klasskru [66]
3 years ago
11

What is an algebraic expression for word phrase "8 less than the product of 12 and a number x"

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0
The answer would be "12x-8"
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Find the 10th term of the geometric sequence 10, -50, 250, ...
dedylja [7]

Answer:

-19,531,250

Step-by-step explanation:

multiply the last term by -5

6 0
3 years ago
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Can you find a rational number that is exactly √2<br><br>​
Gnom [1K]

9514 1404 393

Answer:

  1. no, √2 is irrational
  2. 7/5, 99/70, 19601/13860, any truncation of the decimal value

Step-by-step explanation:

1.√2 is not the square root of a perfect square integer, so is irrational. There is no rational number that is exactly √2.

The proof usually looks something like this. Let p/q represent the reduced square root. Then 2 = p²/q², or 2q² = p², which means p must be even. If p is even, then p² will have at least 2 factors of 2. This requires that q² be even, hence q must be even. This contradicts our assumption that p/q is a reduced fraction, so there cannot be any p/q that is equal to 2.

__

2. Any truncation or rounding of the decimal representation of √2 will be a rational number: 1.4, 1.41, 1.414, and so on. In addition, there are some fractions that represent √2 fairly well. A couple are 99/70 and 19601/13860.

Additional fractions can be found by evaluating the continued fraction ...

  1 +1/(2 +1/(2 +1/(2+ ...)))

at some level of truncation. A few of these values are 7/5, 17/12, 41/29, 99/70, 239/169, 577/408.

The Babylonian method can also be used to find rational approximations. If you start with <em>any</em> rational approximation p/q, then a <em>better</em> approximation will be (2q² +p²)/(2pq). This formulation can be iterated as many times as you like. It very rapidly converges to very good approximations.

8 0
3 years ago
Randy went to the store and brought a shirt that cost $42.00 before taxes and discount. The shirt was on sale for a discount of
gregori [183]

Answer:

Step-by-step explanation:

The 20% discount amounted to ...

  0.20 × $42.00 = $8.40

so the price before tax was ...

  $42.00 -8.40 = $33.60

The tax amount is 3% of this value, so is ...

  0.03 × $33.60 = $1.008 ≈ $1.01

So the total price paid for the shirt was ...

  $33.60 +1.01 = $34.61

Randy paid $34.61 for the shirt after discount and tax.

___

<em>Alternate solution</em>

You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...

  $42.00×0.80×1.03 = $34.608 ≈ $34.61

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3 years ago
Order the numbers in the set from least to greatest.
masya89 [10]
B: -3.5,-2.7,-2.69,-2.66,-1.49
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Find the output, y, when the input, x, is -9
Misha Larkins [42]

Answer:

The output of y = 1

Step-by-step explanation:

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