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sveticcg [70]
2 years ago
8

Write an equation that goes through the point (2,-3) with a slope of -3

Mathematics
1 answer:
uysha [10]2 years ago
7 0

Answer:

Point slope:y - y1 = m(x -x1)y - y1 = m(x -x1)

Given values: (x1 , y1) = (2 , 3)m = 3

Solution: y - 3 = 3(x - 2

Step-by-step explanation:

hope this helps if not let me know have a good day

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A dog collar was originally priced at $5 but went on sale for 20% off. If Vince bought the dog collar and paid 9% sales tax, how
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Answer:$4.36

Step-by-step explanation:

5(0.8)= 4

4(1.09) = $4.36

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493,295. <br><br> And the first nine is the number of rounding
evablogger [386]

Answer:

490,000

Step-by-step explanation:

since 9 is the number we are rounding we look at the next number to the right and either we round up or down depending upon that number. since it is a 3 we round down but if it was a 5 or higher that number would be 500,000

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Tracy has a long weekend coming up, and she wants to spend all 3 days camping at Moose Hill Forest. She
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a 75% chance the weather will stay dry

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3/4

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2 years ago
1/5 divided by 4 equals to what
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2 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
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