All categories

3 years ago

For } (x) = 4x+1 and g(x) = x2 -5, find (f/g)(x)

Mathematics

1 answer:

matrenka [14]3 years ago

7 0

Answer:

Step-by-step explanation:

4x + 1

The quotient (f/g)(x) is (f/g)(x) = ---------------

x^2 - 5

Note that x^2 means "square of x," whereas "x2" is ambiguous.

You might be interested in

If postage costs $.54 the 1st ounce and $.22 for each additional ounce calculate the cost of mailing a 10 ounce envelope.

Pavel [41]

0.54+(0.22*9) is equal to 2.52

5 0

3 years ago

Read 2 more answers

What percent of 2b is: 0.04b; 0.2b; 0.56b; 1.8b; 2.5b; 3b; By what percent are they each larger or smaller than 2b?

Marina86 [1]

Answer:

1. 0.04b. 0.04b is 2% of 2b. It is smaller than 2b by 98%.

2. 0.2b. 0.2b is 10% of 2b. It is smaller than 2b by 90%.

3. 0.56b. 0.56b is 28% of 2b. It is smaller than 2b by 72%.

4. 1.8b. 1.8b is 90% of 2b. It is smaller than 2b by 10%.

5. 2.5b. 2.5b is 125% of 2b. It is larger than 2b by 25%.

6. 3b. 3b is 150% of 2b. It is larger than 2b by 50%.

Step-by-step explanation:

1. 0.04b

For all the cases, we will use Rule of Three, this way.

Percentage * 2 = 100 * 0.04

Percentage = (100 * 0.04)/2 (Dividing by 2 at both sides)

Percentage = 4/2 = 2%

0.04b is 2% of 2b. It is 98% smaller than 2b.

For all cases, we will use (100 - x) for calculating how smaller or larger the expression is related to 2b, where x is the percentage of the expression itself). In this case, 100 - 2 = 98.

2. 0.2b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.2

Percentage = (100 * 0.2)/2 (Dividing by 2 at both sides)

Percentage = 20/2 = 10%

0.2b is 10% of 2b. It is 90% smaller than 2b.

3. 0.56b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 0.56

Percentage = (100 * 0.56)/2 (Dividing by 2 at both sides)

Percentage = 56/2 = 28%

0.56b is 28% of 2b. It is 72% smaller than 2b.

4. 1.8b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 1.8

Percentage = (100 * 1.8)/2 (Dividing by 2 at both sides)

Percentage = 180/2 = 90%

1.8b is 90% of 2b. It is 10% smaller than 2b.

5. 2.5b

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 2.5

Percentage = (100 * 2.5)/2 (Dividing by 2 at both sides)

Percentage = 250/2 = 125%

2.5b is 125% of 2b. It is 25% larger than 2b.

In this case, 100 - 125 = -25. It means the second expression is larger than 2b by 25%.

6. 3b.

Again, we will use Rule of Three, this way:

Percentage * 2 = 100 * 3

Percentage = (100 * 3)/2 (Dividing by 2 at both sides)

Percentage = 300/2 = 150%

3b is 150% of 2b. It is 50% larger than 2b.

In this case, 100 - 150 = -505. It means the second expression is larger than 2b by 50%.

6 0

3 years ago

What is the value of a°?

VLD [36.1K]

Answer: 45°

Step-by-step explanation:

Angle a° is alternate with angle 45°

Therefore a°=45°

8 0

4 years ago

HEE 1 15. Mary decides to take out a $4,000 student loan this year. If she will pay 10% interest compounded annually, how much w

german

Answer: 5,600

Explanation: By multiplying 0.10 (4,000) to find the interest for one year, you get 400. Because she is using this loan for 4 years you multiply that one year interest by 4. 400 times 4 is 1600. Then, you add that 1600 (which is the total interest for 4 years) to the loan, to get an answer of 5,600.

7 0

2 years ago

If you spend $448.37 on a car each month, what is your new subtotal of take-home pay after expenses? $480.29 $629.75 $779.21 $92

Black_prince [1.1K]

I just had the question and the answer is $629.75

8 0

3 years ago

Read 2 more answers