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4 years ago

Please help! I will give Brainliest! Who is correct?

Mathematics

1 answer:

valkas [14]4 years ago

7 0

Answer:

it's possible to be a triangle

Step-by-step explanation:

triangles don't have to be the same size in length to be a triangle! it just won't look as common

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Graphing Exponential Function in Exercise ,sketch the graph of the function.See example 3 and 4.

trasher [3.6K]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The function to graph is given as:

$y=2^{-x^{2}}$

Let us first find the key points of the above equation.

1. Horizontal asymptotes:

Horizontal asymptotes are the values of 'y' for which 'x' tends to infinity.

So, we obtain the horizontal asymptotes from the limit.

$\lim_{x \to \infty} 2^{-x^2}= \lim_{x \to \infty} \frac{1}{2^{x^2}}=\frac{1}{\infty}=0\\\\ \lim_{x \to- \infty} 2^{-x^2}= \lim_{x \to- \infty} \frac{1}{2^{x^2}}=\frac{1}{-\infty}=0$

So, the horizontal asymptotes occur at the line $y=0$ or x-axis.

2. The given function is an even function as there is square of 'x'.

So, an even function is a function that is symmetric about y-axis.

Therefore, the graph of the given function is symmetric about y-axis.

3. y-intercept:

The point on the y-axis where the graph crosses it is the y-intercept.

Plug in 0 for 'x' and find 'y'. This gives,

$y=2^{0}=1$ . So, the point is (0, 1)

4. Now, finding two more points on the graph in order to graph it.

Let $x=-1\ and\ x=1$ . Find 'y'.

$y=2^{-(-1)^2}=2^{-1}=\frac{1}{2}=0.5\\\\y=2^{-(1)^2}=2^{-1}=\frac{1}{2}=0.5$

Therefore, two more points on the graph are (-1, 0.5) and (1, 0.5)

Now, let us plot the graph using the above information.

Plot the left half of the graph and then reflect the same on the right half.

The graph is shown below.

8 0

4 years ago

I need help with this

butalik [34]

i dont know my friend so try asking someone better than cause i have no brain for this type of math

8 0

3 years ago

What is the standard deviation of the following data set rounded to the nearest tenth? 56,78,123,34,67,91,20

Elena L [17]

Answer:

32.2

Step-by-step explanation:

The given data set is:

56,78,123,34,67,91,20

The mean of this data set is

$\frac{56+78+123+34+67+91+20}{7} =\frac{469}{7} =67$

The standard deviation is given by;

$SD=\sqrt{\frac{\sum(x-\bar X)^2}{n} }$

$SD=\sqrt{\frac{(56-67)^2+(78-67)^2+(123-67)^2+(34-67)^2+(67-67)^2+(91-67)^2+(20-67)^2}{7} }$

$SD=\sqrt{\frac{7252}{7} }$

$SD=\sqrt{1036}=32.2$

5 0

3 years ago

Please help <br> Will mark brainliest <br> If the slop is -1/2 how does the slope tell you to move

alekssr [168]

Answer:

Down 1, Right 2

and the other way is up 1, left 2

Step-by-step explanation:

5 0

3 years ago

Which statement best describes relations between the United States and South Korea today?

Lisa [10]

Answer:

C. The United States maintains military forces in South Korea, a close ally.

Step-by-step explanation:

8 0

4 years ago