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CaHeK987 [17]
3 years ago
7

This graph shows a portion of an odd function.

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

f(x) =

-2

-1

-2

-3

On Edgenuity 2020

Step-by-step explanation:

Got it correct on Edgenuity :)

Or if you would like the longer explanation;

The graph given explained:

On a coordinate plane, a function has four connecting lines. The first line goes from (0, 0) to (2,2), the second line goes from (2, 2) to (3, 1), the third line goes from (3, 1) to (5, 3), and the fourth line is horizontal to the x-axis at 3.

After finding the matching points on the graph using the coordinates on the x axis (on the line), you should get 2, 1, 2, and 3. Then use the odd function which is

f(-x) = -f(x) and insert those numbers in -f(x)

which leads you to the answer above which is

f(x) =

-2

-1

-2

-3

Hopefully this helped !

Sorry I couldn't explain it any better but I did it in a way that I was able to understand how I got my answer ! :)

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Find the m < t rounded to the nearest degree
serg [7]

Answer:

28° (Answer A)

Step-by-step explanation:

Note that tan t = 8/15 = 0.533

Applying the inverse tangent function, we get

t = arctan 0.533 = 0.4900 radian

Mult. this by the radian-degree conversion factor results in:  28.072°

and when rounded off to the nearest degree, the measure of angle T is 28°  (Answer A)

5 0
3 years ago
A normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97. What percentage of values lies between
lana [24]

Answer:

63% of the values lies between 70 and 85.

Step-by-step explanation:

We are given that a normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97.

<em>Let X = Set of numbers</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean value = 75

            \sigma = standard deviation = 7.97

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of values that lies between 70 and 85 is given by = P(70 < X < 85) = P(X < 85) - P(X \leq 70)

   P(X < 85) = P( \frac{  X -\mu}{\sigma} < \frac{  85-75}{7.97} ) = P(Z < 1.25) = 0.89435  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  70-75}{7.97} ) = P(Z \leq -0.63) = 1 - P(Z < 0.63)

                                                 = 1 - 0.73565 = 0.26435

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.25 and x = 0.63 in the z table which has an area of 0.89435 and 0.73565 respectively.</em>

Therefore, P(70 < X < 85) = 0.89435 - 0.26435 = 0.63 or 63%

<em>Hence, 63% of the values lies between 70 and 85.</em>

6 0
3 years ago
HELP!!!!!!!!!!<br><br> Hi there! I really need help with this question.
hammer [34]
I believe it's A. Day 1 decreased by half from 8 would be 4. Day 2 decreased by half from 4 would be 2. Day 3 decreased by half from 2 would be 1. then .5 would be decrease by. 25, which would be .75. I hope that makes sense:)
4 0
3 years ago
Because of the commutative property of multiplication, it is true that
rewona [7]

Answer:

It is Commutative

Step-by-step explanation:

An operation ∆ is said to be Commutative if a∆b=b∆a ∀ a,b ∈ ℝ.

Given the operation ∆ defined by:

a∆b=a X b

a=\frac{3}{4}, b=4

a∆b=\frac{3}{4}X4

=\frac{3X4}{4}=3

Similarly, for the right hand side.

(\frac{4}{3})^{-1}=\frac{3}{4}

Therefore:

b∆a=4X \frac{3}{4}

=\frac{4X3}{4}=3

These are the two ways of solving this problem and we have in fact shown that the operation is commutative as:

a∆b=b∆a=3

3 0
3 years ago
Clarke borrows $16000 to buy a car he pays simple interest at an annual rate of 6% over a period of 3.5 years how much does he p
uranmaximum [27]
<span>Clarke borrows $16000 to buy a car he pays simple interest at an annual rate of 6% over a period of 3.5 years how much does he pay all together?
Let’s calculate
=> 16 000 dollars is the amount he borrowed
=> 6% is the annual interest
=> 3.5 years us the total years that he will be paying it.
Solutions:
=> 16 000 dollars * .06 = 960 dollars is the annual interests
=> 960 * 3.5 = 3 360 dollars for 3.5 years
=> 16 000 + 3 360 = 19 360 dollars

</span>



4 0
3 years ago
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