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Bogdan [553]
3 years ago
13

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
shutvik [7]3 years ago
6 0

Answer:

Step-by-step explanation:

we are given

(A)

(f×g)(x)=f(x)*g(x)

now, we can plug it

we can simplify it

(B)

Domain:

Firstly, we will find domain  of f(x) , g(x) and (fxg)(x)

and then we can find common domain

Domain of f(x):

we know that f(x) is undefined at x=0

so, domain will be

∪

Domain of g(x):

Since, it is polynomial

so, it is defined for all real values of x

now, we can find common domain

so, domain will be

∪..............Answer

Range:

Firstly, we will find range of f(x) , g(x) and (fxg)(x)

and then we can find common range

Range of f(x):

we know that range is all possible values of y for which x is defined

since, horizontal asymptote will be at y=0

so, range is

∪

Range of g(x):

Since, it is quadratic equation

so, its range will be

now, we can find common range

so, range will be

∪.............Answer

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A test had a mean of 72% and a standard deviation of 8 what is the z-score for a test score of 85?
PolarNik [594]

Answer:

The answer to this question is within 2 stabdard deviations

Step-by-step explanation:

to get the score of 85 you got to add the deviation value to the mean whuch creates the deviation. do that multiple times and you get a multiple deviation

72+8=80+8 is 88

88 is greater than 85 so a test score of 85 is within 2 standard deviations of the mean

3 0
2 years ago
Which fraction is equivalent to 6/8. A.8/9. B.4/6. C.9/12. D.8/10
DaniilM [7]

<u>Answer</u><u>:</u>

<h2>C. 9/12</h2>

<u>Explanation:</u>

<em>6</em><em>/</em><em>8</em><em> </em><em>simplifies </em><em>to </em><em>3</em><em>/</em><em>4</em>

<em>3</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>9</em>

<em>4</em><em> </em><em>×</em><em> </em><em>3</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em>

<em>Since </em><em>they </em><em>are </em><em>both </em><em>multiples </em><em>of </em><em>3</em><em>,</em><em> </em><em>it's </em><em>e</em><em>quivalent</em><em> </em><em>to </em><em>6</em><em>/</em><em>8</em><em>.</em>

7 0
2 years ago
What theorem states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another
lianna [129]

The given statement is proved by side-angle-side (SAS) theorem.

Yes, if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent.

The statement is proved by SAS theorem

<u>Side-Angle-Side (SAS) theorem: </u>

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Hence, The given statement is proved by side-angle-side (SAS) theorem.

To read more about Angles

brainly.com/question/22472034

#SPJ4

7 0
1 year ago
How do I do this? <br><br> help!!
kakasveta [241]

Answer:

...

Step-by-step explanation:

7 0
3 years ago
Find the percent increase or decrease: 43 to 78
Kobotan [32]

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= 78-43= 35

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= \frac{Difference\ in\ number}{base\ number} \times 100

⇒ Percent change in number= \frac{35}{43} \times 100= 81.39\%

∴ 81.39% increase in the number.

3 0
3 years ago
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