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Dmitry_Shevchenko [17]
3 years ago
13

How do you solve systems of equations

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0
Where the two lines intersect is your solution.
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Which expression converts 100 inches per minute to feet per minute?<br> 100 inches<br> 60 minutes
Step2247 [10]
100 inches is the correct answer for this question
6 0
3 years ago
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Factor the expression: x^6-729. Show your work Please.
Brut [27]

Answer:

  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)

Step-by-step explanation:

<u><em>Use of formulas:</em></u>

  • <em>a^2 - b^2 = (a + b)(a -b)</em>
  • <em>a^3 + b^3 = (a + b)(a^2 - ab + b^2)</em>
  • <em>a^3 - b^3 = (a - b)(a^2 + ab + b^2)</em>

<u>Given the expression: </u>

  • x^6-729

<u>Factoring 729</u>

  • 729 = 3*3*3*3*3*3 = 3^6

<u>Factoring the expression </u>

  • x^6 - 3^6 =
  • (x^3)^2 - (3^3)^2 =
  • (x^3 + 3^3)(x^3 - 3^3) =
  • (x + 3)(x^2 -3x + 9)(x - 3)(x^2 + 3x + 9) =
  • (x + 3)(x - 3)(x^2 -3x + 9)(x^2 + 3x + 9)
7 0
3 years ago
Find the correct plugged in formula for each figure.
r-ruslan [8.4K]

Answer:

3

Step-by-step explanation:

I'm just guessing because you don't give any numbers or anything at all

4 0
3 years ago
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Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
KatRina [158]

Answer:

($13,300,$46,900)

Step-by-step explanation:

We are given the following in he question:

Mean, μ = $30,100

Standard Deviation, σ = $5,600

Chebyshev's Theorem:

  • According to  theorem atleast 1 - \dfrac{1}{k^2}  percent of data lies within 2 standard deviations of mean.
  • For k = 3,

1 -\dfrac{1}{(3)^2} = 0.889 \approx 89\%

Thus, 89% of data lies within three standard deviation of mean.

\mu - 3(\sigma) = 30100 - 3(5600) = 13300\\\mu + 3(\sigma) = 30100 + 3(5600) = 46900

Thus, we expect at least 89% of new car prices to fall within ($13,300,$46,900)

3 0
3 years ago
If a car drove 180 miles in 3 hours and a truck drove 150 miles in 2 hours, what is the speed (in miles per hour) of the faster
grigory [225]

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

6 0
3 years ago
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