a) 35 x 13 + 3.14 x ²
= 455 + 3.14 x 42.25
= 455 + 132.665
= 587.665 m²
∴ The area is 587.665 m².
A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to
will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.
You could multiply the whole thing by 4.5 to get
. If you want, you could mix things up and write it in slope-intercept form:
. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!
The attached graph shows that four different equations are really the same.
Answer:
<em>The answer to your question is</em> <em>C.n ≥ 7</em>
Step-by-step explanation:
<u><em>I hope this helps and have a good day!</em></u>
Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let . then we have that . Hence, it makes sense to define the positive number delta as (the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that , and if we prove this, we are done. To prove it, let , then . First, then hence
On the other hand, then hence . Combining the inequalities, we have that , therefore as required.
Answer:
<em>B)</em><em> 8.9 lbs
</em>
<em>C)</em><em> 9.5 lbs
</em>
<em>D)</em><em> 9.8 lbs
</em>
<em>E)</em><em> 10.4 lbs</em>
Step-by-step explanation:
From the graph, 9.5 is the mean of the sample and 0.5 is the standard deviation of the sample.
As we have to find the weights that lie within the 2 standard deviations of the mean i.e
Among the given weights only 8.9 lbs, 9.5 lbs, 9.8 lbs, 10.4 lbs will lie within 2 standard deviations of the mean.