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babunello [35]
3 years ago
10

Determine the end behavior of each rational function below. f(x) = 7x5 − 3x + 1 / 4x3 + 2

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

Step-by-step explanation:

Hi there!

First, let´s write the function:

f(x) = (7x⁵ - 3x +1) / (4x³ + 2)

When x ⇒ +∞

f(x) ⇒ (7x⁵ - 3x) / 4x³    because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.

f(x) ⇒7x⁵/4x³ - 3x/4x³

f(x) ⇒ 1.75x² - 0.75/x²    (0.75/x² ⇒ 0 because a number divided by a very big number is approximately zero). Then:

f(x) ⇒ 1.75x² ⇒ +∞

When x ⇒ -∞

f(x) ⇒ 1.75x² = +∞ (because x² is always positive)

Then, when x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

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yarga [219]

The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:

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So the amount of pasta is 4 oz, therefore the correct statement is B.

5 0
1 year ago
One number is five less than a second number. Five times the first is 15 more than 6 times the second. Find the numbers
Shalnov [3]

Answer:

x = -45, y = -40

Step-by-step explanation:

Based on the first clue, we find out that

x + 5 = y

5x = 6y + 15

We can re-write the first equation to x = y - 5.

Therefore, the second equation can also be written as 5(y - 5) = 6y + 15

This can be simplified to 5y - 25 = 6y + 15

We can subtract 6y from each side, and add 25 to each side;

5y - 6y = 15 + 25

Therefore, -y = 40

Therefore y = -40.

Now let's plug this back into the original equation, to get : x  + 5 = -40

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4 0
2 years ago
Ms. Pearson kept track of student absences versus final average grades in her math dass for one semester, The
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The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.

<h3>When do variables have a linear relationship?</h3>

The equation that represents a linear relationship is: a + bx

Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.

Looking at the table, the average final grade does not increase by a constant term.

To learn more about linear functions, please check: brainly.com/question/26434260

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A) ...,1,1/2,1/4,1/8,...
7 0
3 years ago
Read 2 more answers
Please i need help!!
LiRa [457]

Answer:

Option B is correct

Step-by-step explanation:

because when you compare the table with graph you can understand easily.

8 0
3 years ago
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