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taurus [48]
3 years ago
7

A company builds rectangular shaped storage buildings for home owners at $20 per square foot. Rick wants to have a storage build

ing built on his property but has a budget of $2,000. If he wants the building's length to be 6 feet longer than its width, then which of the inequalities can be used to solve for the width of the building?
Mathematics
1 answer:
Lynna [10]3 years ago
7 0
First, you find how many total feet Rick can afford. To do this, you do 2000/20 which equals 100. Then, you write your inequality. 100 is less than or equal to 2x+6. Next, you solve your inequality. You subtract 6 on both sides to get 94 equals 2x. To solve this, you divide by 2 on both sides. In this scenario, x stands for the width.
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Which expression is equivalent to 4 over 9 (2n - 3)
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Answer:

The result for this equation is \frac{8}{9}n - \frac{4}{3} .

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\frac{4}{9} (2n-3)

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What is the 6th term of the geometric sequence 4, −20, 100, ...?
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Romashka-Z-Leto [24]

Answer:

(2.83 , 1 , 4)

Step-by-step explanation:

2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\

Rewrite these equations in matrix form

\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\

we can write it like this,

AX=B\\X=A^{-1}B

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We get the inverse of matrix A,

A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]  \\

now multiply the matrix with B

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2 years ago
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