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Mars2501 [29]
3 years ago
7

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solve the inequality |x-5 < 0 ?|
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

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Evaluate 4 - 6 + 9 - 3
omeli [17]
4 - 6 + 9 - 3 

= 4
3 0
3 years ago
Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even
Allushta [10]

Answer:

P(E|A)= \frac{10}{11}

Step-by-step explanation:

Given

Two rolls of die

E \to one of the outcomes is 6

A \to atleast one is 6

Required

P(E|A)

First, list out the outcome of each

E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}

So:

P(E|A)= \frac{n(E\ n\ A)}{n(A)}

Where:

E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

n(E\ n\ A) = 10

n(A) = 11

So:

P(E|A)= \frac{10}{11}

7 0
2 years ago
In Chicago, IL, the average wind speed is 10.4 miles per hour. In Great Falls, MT, the average wind speed is 13.1 miles per hour
Fed [463]
I think Great Falls' average wind speed is greater than Chicago's by 2.7 miles
8 0
3 years ago
2\3 a certain number reduced by 11 is equal to 4 more than that number. Find the number (show work)
ArbitrLikvidat [17]
11 - 2/3n = 4 + n
n + 2/3n = 7
3n^2 + 2 = 21n
3n^2 - 21n + 2 = 0
n = 6.903 , n = 0.09657
4 0
2 years ago
Please help me with 1a, thanks
valkas [14]

Since 1A claims that the diagram is of a square, you can easily find the perimeter by multiplying just one side by 4, because the definition of a square says that all of its four sides are equal in length.

Take the left side, x and 4, and add them together, because both of these lengths add up to form the side of the square. You have found one side of the square, x + 4. Now multiply this side by 4 for the perimeter.

Perimeter is the length all around the figure, and since a square has 4 sides you would multiply one side by 4 to find the perimeter.

4(x + 4) is your expression for the perimeter of the square. You could probably solve 1B and 1C by substituting in 3 and 5 for x in the equation I've given you :)

8 0
2 years ago
Read 2 more answers
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