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3 years ago

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:

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

$6.23 \times 1000000000000 \\ 6230000000000$

7 0

3 years ago

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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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2 years ago

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Solve the compound inequality: 3≤6−3x<15

DerKrebs [107]

solve 3≤−3x+6<153≤−3x+6<15

Answer: (−3,1](−3,1]

Approximate Form: (−3,1]

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 81x + 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 d. 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 (7x + 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 a is the initial term and d is the common difference.

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

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

To find the 13th term, let n = 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 81x + 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