The absolute value inequality can be decomposed into two simpler ones.
x < 0
x > -8
<h3>
</h3><h3>
Which two inequalities can be used?</h3>
Here we start with the inequality:
3|x + 4| - 5 < 7
First we need to isolate the absolute value part:
3|x + 4| < 7 + 5
|x + 4| < (7 + 5)/3
|x + 4| < 12/3
|x + 4| < 4
The absolute value inequality can now be decomposed into two simpler ones:
x + 4 < 4
x + 4 > - 4
Solving both of these we get:
x < 4 - 4
x > -4 - 4
x < 0
x > -8
These are the two inequalities.
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Function B best models the researcher's data because it passes through most of the points.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A graph of best fit can be determined by drawing a straight line or curve on a scatter plot so that the number of points above the line and below the line is about equal and the graph passes through most of the points.
Function B best models the researcher's data because it passes through most of the points.
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The answer to your question is 8.9
Answer:
25/324
Step-by-step explanation:
Make a table of possible products:
![\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1&2&3&4&5&6\\2&2&4&6&8&10&12\\3&3&6&9&12&15&18\\4&4&8&12&16&20&24\\5&5&10&15&20&25&30\\6&6&12&18&24&30&36\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccccc%7D%261%262%263%264%265%266%5C%5C1%261%262%263%264%265%266%5C%5C2%262%264%266%268%2610%2612%5C%5C3%263%266%269%2612%2615%2618%5C%5C4%264%268%2612%2616%2620%2624%5C%5C5%265%2610%2615%2620%2625%2630%5C%5C6%266%2612%2618%2624%2630%2636%5Cend%7Barray%7D%5Cright%5D)
Of the 36 results, 10 are greater than 15.
The probability the product is greater than 15 on a single roll is 10/36 = 5/18.
The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.
It would be 4-15x
sorry if not