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Blizzard [7]
2 years ago
6

Question 2-4

Mathematics
1 answer:
Gnoma [55]2 years ago
8 0

Step-by-step explanation:

-x/3 < -4

-x < -12

x > 12

5x +11 ≤ -4

5x ≤ -4-11

5x ≤ -15

x ≤ -3

therefore, the solution is

x ≤ -3 or x > 12

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BabaBlast [244]

no it actually the opinions you have

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3 years ago
Please help me with these
Alex Ar [27]
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.

When we are attempting limits questions, there are several tests we attempt first.

1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)
\lim_{x \to 0} (\frac{sinx}{x}) = 1
\lim_{x \to 0} (\frac{tanx}{x}) = 1
4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.

For example:

1) \lim_{x \to 0}\frac{\sqrt{x} - 5}{x - 25}

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>

Substitute x = 0 to the function.
\frac{\sqrt{0} - 5}{0 - 25}
= \frac{-5}{-25}
= \frac{1}{5}

<em>Method 2: Rearranging the function
</em>

We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.

\lim_{x \to 0}\frac{(\sqrt{x} - 5)}{(\sqrt{x} - 5)(\sqrt{x} + 5)}
= \lim_{x \to 0}\frac{1}{(\sqrt{x} + 5)}}
= \frac{1}{5}

Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
8 0
3 years ago
Given mn, find the value of x.<br> 108
adoni [48]

Answer:

72 degrees

Step-by-step explanation:

Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.

3 0
3 years ago
The perimeter of a rectangular concrete patio is 100 meters. it is 30 meters long. how wide is it?
34kurt
Perimeter is 2l+2w
100 =2(30) + 2w
100 =60 + 2w
-60 -60
40 = 2w

w=20 meters.
6 0
3 years ago
Whats the answer to 200×647 show your work
bulgar [2K]
If u don't understand lemme know                                                                                                                      

5 0
3 years ago
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