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Phoenix [80]
3 years ago
10

Substitute 6 for x and evaluate the expression below. |x + 10| - X

Mathematics
1 answer:
AveGali [126]3 years ago
7 0
It’s 16x bc u add them
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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.

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3 years ago
A spinner is numbered 1-10. What is the probability of the spinner landing on the number 5 on the first spin and an even number
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Answer:

10% and 50%

Step-by-step explanation:

5 0
3 years ago
Help???? ill take help from anyone
kozerog [31]

Answer:-1/3

Step-by-step explanation: I really don’t know

8 0
3 years ago
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I can't figure out how to find the proper area of a prism, can anyone help?
andrey2020 [161]

Answer:

Search Results

Featured snippet from the web

A right prism is made up of two identical, parallel bases on the ends, and the faces are perpendicular to the bases. The formula for finding surface area is 2B + hP (where B is the area of one of the bases, h is the prism's height and P is the perimeter of the base)

Step-by-step explanation:

hope this helps

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3 years ago
Graph both functions to find the solution(s) to the system.
BaLLatris [955]

   <span> f(2) = 2×2 − 1 = 3</span>

The point of intersection is (2, 3).

The example shows that we can find the point of intersection in two ways.
Either graphically, by drawing the two graphs in the same coordinate system, or algebraically by solving the equation such as the one in the above example.

<span>Solving an equation graphically is easy with a graphical calculator or a computer program such as Excel.
Some equations cannot be solved algebraically but we can find solutions that are correct to as many significant figures as we want by using computers and calculators</span>
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3 years ago
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