can you please evaluate these expressions if x=5 y=3.5 and w= -3
1.|2x-15|
2.|-2y=8|-9
3.|w-x|-|10y-w|
Assistance needed.
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The | | signs mean "absolute value". When you take the absolute value of a number, you always take the numbers positive value. So |-5| = 5, |-21| = 21, |24| = 24, |5| = 5, and so on.
So, for the first expression, if we replace the x with 5, we get that:
|2*x-15| = |(2*5)-15| = |10-15| = |-5| = 5
There seems to be an error in your second expression, because there can't be any equals signs inside the || signs.
For the third expression we get that:
|w-x|-|10y-w| =
|-3-5| - |(10*3.5)-(-3)| =
|-8| - | 35 + 3| =
8 - 38 = -30
Certainly! Let's evaluate each expression step by step using the given values.
1. |2x-15|
To evaluate this expression, we substitute x=5 into the expression:
|2*5-15|
Simplifying further:
|10-15|
|-5|
The absolute value of -5 is 5. So, the value of |2x-15| when x=5 is 5.
2. |-2y+8|-9
Here, we substitute y=3.5 into the expression:
|-2*3.5+8|-9
Simplifying further:
|-7+8|-9
|1|-9
The absolute value of 1 is 1. So, the value of |-2y+8|-9 when y=3.5 is 1.
3. |w-x|-|10y-w|
Now, we substitute w=-3, x=5, and y=3.5 into the expression:
|-3-5|-|10*3.5-(-3)|
Simplifying further:
|-8|-|35+3|
|8|-|38|
The absolute value of 8 is 8, and the absolute value of 38 is 38. So, the value of |w-x|-|10y-w| when w=-3, x=5, and y=3.5 is 8-38, which is equal to -30.
Therefore, evaluating the expressions with the given values:
1. |2x-15| = 5
2. |-2y+8|-9 = 1
3. |w-x|-|10y-w| = -30