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3 years ago

Find (f+g)(x). f(x)=-3x+2 and g(x)=x^3

Mathematics

1 answer:

hodyreva [135]3 years ago

4 0

Answer:

$\large\boxed{(f-g)(x)=x^3-3x+2}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2$

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In how many arrangements can 3 boys and 4 girls stand in a row such that no two boys are together?

Sophie [7]

Answer: 1440

Step-by-step explanation:

To arrange 3 boys and 4 girls such that no two boys are together.

Since boys should be arranged between the girls.

So first arrange the girls.

Assume that the girls are placed, then there will be 5 spaces left for 3 boys.

The number of combinations to fill these places = $^5C_3=\dfrac{5!}{3!2!}=\dfrac{5\times4}{2}=10$

Also, 3 boys can arrange themselves in 3! =3 x 2 x 1 = 6 ways

4 girls can arrange themselves in 4! = 4x 3 x 2 x 1 = 24 ways

Then, the total number of arrangements = 10 x 6 x 24 = 1440

Hence, the required number of arrangements = 1440

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3 years ago

In the following exercise, does the problem involve permutations or combinations? Explain your answer. One hundred people purc

Blizzard [7]

Answer: Permutation is involved , since order of prizes matters.

The number of different ways the prizes can be awarded =95060

Step-by-step explanation:

Given : Total number of people purchase lottery tickets =100

The number of prizes = 3

Since each prize can be claimed by only one person.

So order matters here, there for we use permutations .

The number of permutations of n objects taken m at a time is given by :-

$^nP_m=\dfrac{n!}{(n-m)!}$

Then, the number of different ways the prizes can be awarded :-

$^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600$

0 0

3 years ago

Walt is mixing fruit punch for a party. He combines 1 gallon to quarts 3 pints of orange juice, 1 gallon 3 quarts 7 pints of pin

pochemuha

I think the answer is C because I had da same one in I got it Righ

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3 years ago

Help will give brainiliest if correct

Olenka [21]

Answer:

The first answer choice= y = 50x

Step-by-step explanation:

Because you find a point on the graph that is exactly on a point and divide the y by the x and you get the constant. THen in the answer choices only y = 50x is a larger number than 25 which in this case is the constant!

Hope this Helps!

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2 years ago

The box plots below show student grades on the most recent exam compared to overall grades in a class:

777dan777 [17]

The statement that best describes the information about the medians would be: the class median and exam median are almost the same.

<h3>Median of a Data Set on a Box Plot</h3>

The median of any data distribution that is plotted on a box plot is indicated by the vertical line that divides the rectangular box in the box plot.

Thus:

The median for class is 84
The median for exam is 85.

Therefore, the statement that best describes the information about the medians would be: the class median and exam median are almost the same.

Learn more about Box Plot on:

brainly.com/question/10209877

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2 years ago