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Alexxandr [17]
2 years ago
11

Which of the following rational functions is graphed below?

Mathematics
1 answer:
vladimir2022 [97]2 years ago
4 0

Answer: Choice C f(x) = \frac{1}{x(x+4)}

========================================================

Explanation:

The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.

The vertical asymptote is due to a division by zero error.

When x = 0, the denominator x(x+4) turns into 0 since

x(x+4) = 0(0+4) = 0*4 = 0

Similarly, when x = -4, the denominator is also zero

x(x+4) = -4(-4+4) = -4*0 = 0

So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.

This is why the answer is choice C. f(x) = \frac{1}{x(x+4)}

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10 points plz help thanks
ryzh [129]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Your employer pays 75% of your health insurance premium. If the annual premium is $2530, and you are paid weekly, how much is de
MAVERICK [17]
** Calculation is based on 52 weeks per year. 

\smile \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile  \smile

     \boxed {Annual \ Premium \ = \$2530}

Your employer is paying 75% of the Premium: 
     \boxed {75\% \ of \ \$2530 \ = \ 0.75 \times 2530\  = \ \$1897.50}

Amount you need to pay:
   \boxed { \$2530 - \$1897.50 = \$632.50}

Amount needed to be deducted weekly from paycheck:
   \boxed{ \$632.50 \div \ 52 = \$12.16}


\Bigg(     \boxed{ \boxed {Ans: \$12.16 }} \Bigg)
5 0
3 years ago
Read 2 more answers
The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
3 years ago
What is the slope of the line that passes through the points (2, 3) and (–2, 6)? A. -3/2 B. -3/4 C.3/4 D. 0
Alisiya [41]
Simple...

you have: (2,3) and (-2,6)

Using \frac{ y_{1}-  y_{2} }{ x_{1} - x_{2} }-->>

\frac{3-6}{2--2} = -\frac{3}{4}

Thus, your answer.
8 0
3 years ago
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aev [14]

Answer: A. 4.79(n)=20.00

Step-by-step explanation:

we need to find what amount of coffee (per pound) is equivalent to $20.00

so we take the unknown amount (n) and multiply it by $4.79

for example, say Ken wants 4 pounds, we need to know if it is equivalent to $20.00

so take 4.79 and multiply it by 4 to see if it is equal to or less than $20.00 in this case $4.79 x 4 = $19.16  

hope this helps (^_^)

6 0
3 years ago
Read 2 more answers
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