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3 years ago

Which of the following rational function is graphed below?

Mathematics

1 answer:

steposvetlana [31]3 years ago

6 0

9514 1404 393

Answer:

B. 1/((x -1)(x -2))

Step-by-step explanation:

The vertical asymptotes at x=1 and x=2 tell you the denominator will have factors such that these values make it zero: (x -1)(x -2). That is sufficient to identify choice B as the correct answer.

$f(x)=\dfrac{1}{(x-1)(x-2)}$

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Given the functions f and g, explain why you cannot find f⋅g.

Delvig [45]

We can't write the product because there is no common input in the tables of g(x) and f(x).

<h3>Why you cannot find the product between the two functions?</h3>

If two functions f(x) and g(x) are known, then the product between the functions is straightforward.

g(x)*f(x)

Now, if we only have some coordinate pairs belonging to the function, we only can write the product if we have two coordinate pairs with the same input.

For example, if we know that (a, b) belongs to f(x) and (a, c) belongs to g(x), then we can get the product evaluated in a as:

(g*f)(a) = f(a)*g(a) = b*c

Particularly, in this case, we can see that there is no common input in the two tables, then we can't write the product of the two functions.

If you want to learn more about product between functions:

brainly.com/question/4854699

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6 0

2 years ago

Read 2 more answers

Find how many quarts of 6?% butterfat milk and 3?% butterfat milk should be mixed to yield 30 quarts of 5?% butterfat milk

Mrrafil [7]

Answer:

The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

Step-by-step explanation:

As given

6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .

Let us assume that x quarts are used for 6% butterfat milk .

Than (30 - x) quarts are used for 3% butterfat milk .

6% is written in the decimal form

$= \frac{6}{100}$

= 0.06

3% is written in the decimal form

$= \frac{3}{100}$

= 0.03

5% is written in the decimal form

$= \frac{5}{100}$

= 0.05

Than the equation becomes

0.06 × x + (30 - x) × 0.03 = 30 × 0.05

0.06x + 0.9 - 0.03x = 1.5

0.06x - 0.03x = 1.5 - 0.9

0.03x = 0.6

$x = \frac{0.6}{0.03}$

x = 20 quarts for 6% butterfat milk .

(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .

Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .

5 0

4 years ago

I’ll give u brainiest pls help me im so lost

Vlad1618 [11]

Answer:

(f o g)(4)=27

Step-by-step explanation:

(f o g)(4)=2x+5

f(g(4))=2x+5

f(4²-2(4)+3)=2x+5

f(16-8+3)=2x+5

f(8+3)=2x+5

f(11)=2x+5

f(11)=2(11)+5

f(11)=22+5

f(11)=27

Therefore, (f o g)(4)=27

3 0

3 years ago

Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0

3 years ago

Read 2 more answers

Solve this equation zma=a+b ;for a

mina [271]

Subtract b and then a = (zma) - b

5 0

4 years ago

Which of the following rational function is graphed below?​

Which of the following rational function is graphed below?