please help me, i need this so much​

Answer:

The vertical asymptotes occur at x = 4 and x = -4

The zero of the function is (0, 0)

Step-by-step explanation:

The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]

Therefore, we have;

[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]

The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows

For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0

Therefore, the vertical asymptotes are the lines x = 4 and x = -4.

The zero of the function is given as follows;

[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]

Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0

x = 0/4 = 0

Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).

Answer:

it is C  (squr. root 18)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

√18 because is not a perfect square or you can write it as a fraction

Answer:

-52, -69, -89, -100, -124

Step-by-step explanation:

When your dealing with negative numbers the smaller number the larger it is.

Hope this helps have a nice day:)

Answer:

im pretty sure its 24

Step-by-step explanation:

because 12+12=24

Answer:

96cm

Step-by-step explanation:

A=1/2bxh (Area=BasexHeight) is the formula to find it.

A=1/2x192

A=96

Answer:

9pi

Step-by-step explanation:

circumference is 2(pi)(r) or diameter(pi)

Answer:d

Step-by-step explanation:

Answer:

i think d

Step-by-step explanation:

it seems right

Answer:

64$

Step-by-step explanation:

Answer:

y=-2x+4

Step-by-step explanation:

Answer:

the answer is (7,5) (5,5)

Answer:

3

Step-by-step explanation:

let the other number be x

3x-x=6

2x=6

x=6÷2

x=3

therefore the numbers are 9&3

answer:

3x - x = 6, y = 3x → Pair 1: 3 and 9, Pair 2: 9 and 3

i hope this helps!! ♡

Answer:

x=1, y=4 or (1,4)

Step-by-step explanation:

Step-by-step explanation:

4x + y = 8

-4x -4x

y = -4x+8

5x + 2y = 13

-5x -5x

2y/2 = -5x/2 + 13/2

y = -5/2x+13/2

Answer:

correct because one in six game pieces win a prize.

Step-by-step explanation:

Answer:

Part 1:

Domain= {2,3,8,9}

Range = {7,9,14}

Part 2: Yes it is not a function

Step-by-step explanation:

Domain is the first number

Range is the second.

Domain= {2,3,8,9}

Range = {7,9,14} ( Notice that 14 is noted twice so just put it as once and this is not part of the answer)

Function: Is any of the domain numbers the same: Answer Yes it's a function.

Answer:

y ≤ -4x - 3

Step-by-step explanation:

First identify the line itself by using point slope [y - y1 = m(x - x1) ] given two points or find the slope by finding the rise of the line over the run [m = ∆y/∆x ] [∆ = change/difference]. Because you are already given the y-intercept, using the form y = mx + b, the y-intercept is -3 because that is where the line intersects the y axis or where x = 0 so b = -3.

Now from -3, you can tell that when you go 1 across, the line goes down 4 units so the slope or m must be -4. Because it goes from -3 to -7, that is a change of -4. This means the line is y = -4x - 3.

Because there is a solid line, and a shade (thought of as the y value) under the line, you will replace = [equal sign] with the ≤ [less than or equal sign]. Therefore the answer is y ≤ -4x - 3

Answer:

The volume per dose that the patient should receive is 3.8 ml

Step-by-step explanation:

The physician ordered oncovin 2 mg/m² for chemotherapy treatment of a malignant tumor.

The adult's BSA (Body surface area) = 1.9m²

Hence, the amount of oncovin needed based on his body weight is:

2mg/1 m² = x mg/1.9m²

Cross Multiply

x mg = 2mg × 1.9

x = 3.8mg

We are told , oncovin is supplied:1 mg/ml

Hence:

This means

1 mg = 1 ml

3.8 mg = x ml

Cross Multiply

x ml = 3.8 ml

The volume per dose that the patient should receive is 3.8 ml

Answer:

hope u understand

Step-by-step explanation:

Unit rates can conveniently be multiplied by any desired number in order to answer questions about differently scaled questions. E.g. If three marbles cost 30 cents, how much will eleven marbles cost?

A unit rate is a ratio such as 30 cents : 3 marbles = 10 cents per (1) marble, after doing the division.

Answer:

ratios, rates, and unit rates can be used to solve how much of something there is compared to another thing.  Ex: There are 3 times the amount of apples compared to oranges.  How many apples are there if you have 2 oranges?  For a ratio, you would make it 3:1.  Then substitute the 1 for 2.  For a rate, you would make it 3 apples per oranges.  Then do the same thing you would do for the ratio.  Unit rates work the same way.

Step-by-step explanation:

sorry if this isn't the answer you were hoping for, but I tried

The relationship between the median and mean shown by the histogram is; The median is less than the mean.

From the given histogram, we see that it has a lot of its data on the left side.

Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.

Thus, we can conclude that the median is less than the mean.

Read more about Histograms at; https://brainly.com/question/2962546

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

he's getting the ps5

Step-by-step explanation:

In conclusion if the store has the ps5 he's getting it and if not he wont

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

Answer:

d

Step-by-step explanation:

I THINK

Answer:

v ≥ -17

Step-by-step explanation:

-82 ≤ 5v + 3

-82 - 3 ≤ 5v

5v ≥ -85

v ≥ -17

Answer:

[tex]\displaystyle \frac{300+18x}{x}\le 24[/tex]

Step-by-step explanation:

Average Cost

Making a certain new product costs $300 plus $18 per product.

The total cost for x products is given by:

300 + 18x

To get the average cost, we divide the total cost by the number of products manufactured:

[tex]\displaystyle A=\frac{300+18x}{x}[/tex]

If the manufacturer wants to keep the average cost at $24 or less:

[tex]\mathbf{\displaystyle \frac{300+18x}{x}\le 24}[/tex]

This is the required inequality

Answer:

It would be 16 men.

Step-by-step explanation:

Let the number of men dig a pond in 6 day be x. Then,

It is a case of inverse variation.

12 × 8 = 6x

=> 96 = 6x

=> x = 96/6

=> x = 16

Hence, 16 men can dig a pond in 6 days.

Answer:

Answer is 16…..

12 men take 8 days for digging a pond, so we use simple method to solve this problem.

We multiple the both things that is 12 and 8 then get 96 is the result which is equal to multiple of 6 days and ?Men then get 16 men

Step-by-step explanation:

I literally put it on the comments lol

Answer:

6 would be opposite

Step-by-step explanation: