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Nookie1986 [14]
3 years ago
12

Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

a₁₃ = - 27x - 41

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3x + 7

d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)

                 = - 5x + 3 + 3x - 7

                 = - 2x - 4

Then

a₁₃ = - 3x + 7 + 12(- 2x - 4)

     = - 3x + 7 - 24x - 48

     = - 27x - 41

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Please help!!! I’m so confused on how to solve this!
-Dominant- [34]

Let's first write the equation given

x²+6x-13=0

They have told us to use "Completing the square" method.

So we need write x²+6x-13 as a whole square.

x²+6x-13=0

x²+(2*3*x)-9-4 = 0

x²+(2*3*x)-3²=4

Now we can write the LHS as:

(x - 3)²=2²

Hence,

x-3 can either be 2 or -2

Now,

x - 3=2

x=5

Or,

x - 3=-2

x=1

Therefore now we know that x can either be 1 or  5. So the correct answer is  Option B.

8 0
4 years ago
Read 2 more answers
What is the radical form of each of the given expressions? 4 1/7 AND 4 7/2 AND 7 1/4 AND 7 1/2 I WILL UPVOTE
PilotLPTM [1.2K]
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.

4^(1/7) would become ⁷√4  .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.

4^(7/2) would become √(4⁷)  ... the 7th power goes with the number under your radical and the "2" becomes a square root

7^(1/4) would become ⁴√7  ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7

7^(1/2) would become, simply, √7
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4 years ago
Roland needs 8 sheets of fabric that are each 45 yard long.
kompoz [17]

The total number of yards is 360 yards

<h3>How to determine the number of yards?</h3>

The given parameters are:

Number of sheets = 8

Yard per sheet = 45 yards

The total number of yards is calculated as:

Total number of yards = Number of sheets  * Yard per sheet

Substitute the known values in the above equation

Total number of yards = 8 * 45 yards

Evaluate the product

Total number of yards = 360 yards

Hence, the total number of yards is 360 yards

Read more about unit rates at:

brainly.com/question/19493296

#SPJ1

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