If a standard die is rolled twice, what is the probability that it lands on a
1 answer:
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So, we have the following equation...
Remember and
is the following...
Therefore,
So, your final answer is .
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<em>Glad to help!</em>
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
<h3>What is an inequality?</h3>An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
Given the following system of inequalities:
3y > 2x + 12 ⇒ 3y - 2x > 12
2x + y ≤ -5
By using Geogebra online graphing calculator, the solution to this system of inequalities are plotted in the image attached below.
Read more on inequalities here: brainly.com/question/24372553
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Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>