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Minchanka [31]
3 years ago
8

Plot the solution set of |-x|=3.5

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0

It is 3.5, because anything inside an absolute is always positive.

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Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetabl
wolverine [178]

Answer:

Approximately 3.5 feet - Option B

Step-by-step explanation:

Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.

( 30 + 2x ) * ( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) * ( 20 + 2x )"

600 + 100x + 4x^2 = 1000 - Subtract 1000 on either side, making on side = 0

4x^2 + 100x - 400 = 0 - Take the "quadratic equation formula"  

( Quadratic Equation is as follows ) - x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a},

x=\frac{-100+\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad \frac{5\left(\sqrt{41}-5\right)}{2},

x=\frac{-100-\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad -\frac{5\left(5+\sqrt{41}\right)}{2}

There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) \frac{5\left(\sqrt{41}-5\right)}{2}. The approximated value however is 3.5081...or approximately 3.5 feet.

4 0
3 years ago
Your answer must be simplified.
JulijaS [17]

Answer:

The simplified form is x\geq -99.

Step-by-step explanation:

Given : Expression \frac{x}{3}\geq -33

To find : The simplified expression ?

Solution :

Expression \frac{x}{3}\geq -33

Multiply 3 both side,

\frac{x}{3}\times 3\geq -33\times 3

x\geq -99

Therefore, the simplified form is x\geq -99.

8 0
3 years ago
5/2+18/5+11/4 what is the answer for this question​
Likurg_2 [28]

Answer:

Step-by-step explanation:

basicallyi you want to find a common denominator before you add them up. the common denominator in this case would be 20, since it's the first common multiple all of them share

50/20 plus 72/20 plus 55/20

177/20 would be your answer

3 0
3 years ago
Read 2 more answers
An amusement park charges $5 for admission and $.80 for each ride. You go to the park with $13. Which inequality represents this
RSB [31]

Answer:

Answer Placeholder (I'm going to solve it and answer when I'm done)

Step-by-step explanation:

7 0
3 years ago
If your grade is a 93% and you got 20 points taken off your grade, what will your new grade be?
vodka [1.7K]
Your grade would be 73%
3 0
3 years ago
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