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Arisa [49]
3 years ago
6

Can someone solve this by using the square method? Be sure to show work please!

Mathematics
1 answer:
Paul [167]3 years ago
5 0

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square.

x = 1 ±\frac{\sqrt{6} }{2}



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Which number is greatest?​
user100 [1]

Answer:

6.23 \times 10 {}^{12}

Step-by-step explanation:

6 .23\times 10 {}^{12}

6.23 \times 1000000000000 \\ 6230000000000

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I need help geometry final part 1
joja [24]

Answer:

See below

Step-by-step explanation:

1. Given

2. Given

3. Definition of supplementary angles (add up to 180)

4. Substitution Property (substitute 112 in for angle 1)

5. Subtraction Property (subtract 112 from both sides)

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Solve the compound inequality: <br> 3≤6−3x&lt;15
DerKrebs [107]

<span>solve <span><span>3≤−3x+6<15</span><span>3≤−3x+6<15</span></span></span>

Answer: (−3,1](−3,1]

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4 0
3 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
Help please! Solve the inequality.​
Maru [420]

Answer:

x≤-3 1/2 or x>1

Step-by-step explanation:

The way we solve this is we simply rearrange the equation using algebra.

Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.

Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.

3 0
2 years ago
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