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3 years ago

Evaluate the expression below (-6) -4

Mathematics

1 answer:

posledela3 years ago

7 0

Answer:

-10

Step-by-step explanation:

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Can anyone tell me how you could describe this answer to the equation?

DanielleElmas [232]

The end behavior of the given polynomial is that as x → -∞ or x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get; f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

#SPJ1

8 0

1 year ago

Do the three points lie on one line?

padilas [110]

Answer:

Yes. No graph paper.

Step-by-step explanation:

Let's say the 3 points are A, B, C.

If A, B and C lie on one line then $m_{AB} = m_{BC} = m_{AC}$

$m_{AB} = \frac{y_{B}-y_{A} }{x_{B}-x_{A}} = \frac{2-6}{3-5} = \frac{-4}{-2} = 2\\m_{BC} = \frac{y_{C}-y_{B} }{x_{C}-x_{B}} = \frac{8-2}{6-3} = \frac{6}{3} = 2\\\\m_{AC} = \frac{y_{C}-y_{A} }{x_{C}-x_{A}} = \frac{8-6}{6-5} = \frac{2}{1} = 2\\\\$

Hence, they lie on one line.

You don't need to use a graph paper to prove it.

4 0

2 years ago

A random sample of bolts is taken from inventory, and their lengths are measured. The average length in the sample is 5.3 inches

LekaFEV [45]

Answer:

$L_x=5.3 inches$

Step-by-step explanation:

Average length $\=x =5.3 inches$

Standard deviation $\sigma=0.2 inches$

Sample size $n=50$

Generally The point estimate for the mean length of all bolts in inventory is

$L_x= \=x$

$L_x=5.3 inches$

3 0

3 years ago

A spinner with three equal sectors is spun three times. What is the number of possible outcomes?

Marina86 [1]

Answer:

If they mean written as a fraction, you have three total outcomes. As a fraction you can say 1/3 to say you have a one in three chance of landing on a specific one.

6 0

4 years ago

Read 2 more answers

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

Amiraneli [1.4K]

<u>Answer</u>

The first student was right.

The length of the long side is at least 13 inches.

<u>Explanation</u>

The perimeter of any figure is the distance all round.

Perimeter of a rectangle = 2(l+w). Where l is length and w is the width.

2(l + w) ≥ 30

2{(x-3) + 2} ≥ 30

2(x-3+2) = 30

2(x - 1) ≥ 30

x - 1 ≥ 15

x ≥ 16

When x = 16,

l = 16-3

= 13 inches

The length of the long side is 13 inches. The first student was right.

8 0

3 years ago

Read 2 more answers