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Damm [24]
3 years ago
8

1. Use the graph of the rational function

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

As x \to -3^{+}, f(x) \to -\infty

Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at x=-3\ and\ x=2

The function has horizontal asymptote at f(x)=0

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as x \to -3^{+} means the right hand limit of the function at x=-3

From the graph, the right hand limit is the right side of the asymptote of the function at x = -3. The right side shows that the function is tending towards negative infinity.

Therefore, As x \to -3^{+}, f(x) \to -\infty

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HELP ME ASAP 10 POINTS WILL BE GIVIN
Anna35 [415]

Answer:

h = A/b

Step-by-step explanation:

A = bh      Divide b from both sides of the equation

A/b = bh/b     On the right side, the b in the numberator and denominator cancel out.

h = A/b

7 0
3 years ago
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,91
Maurinko [17]

Answer:

a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

b) Wider

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.

This means that n = 3900, \pi = \frac{1911}{3900} = 0.49

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032

The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.

Question b:

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.

3 0
2 years ago
Write each polynomial function in standard form , classify it by degree and determine the end behavior of its graph Y=12-x^4
Dmitry_Shevchenko [17]
In standard form, zero is always on the right:
y = 12 - x^4
y + x^4 - 12 = 0 

End behavior: 
As x approaches ∞, y approaches -∞
As x approaches -∞, t approaches -∞
4 0
3 years ago
Find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees​
OLga [1]

Answer:

D. 78°

Step-by-step explanation:

50°+28°= 78°

_______

3 0
3 years ago
The cost c, to produce b baseball bats per day is modeled by the function c(b)=0.06b^2 - 7.2b + 390. What number of bats should
Finger [1]
You have two choices.
The minimum possible cost to operate your bat factory for a day is $390,
and there are two quantities of bats that both cost that much.

One possibility: 
                   Produce no bats at all per day.  Zero.  Nada.  None.
                   Cost = 0.06(0)²  -  7.2(0)  +  390  =  $390 per day.

The other choice:
                   Produce  120 bats per day.
                   Cost = 0.06(120²)  -  7.2(120)  +  390
                          = 0.06(14,400)  -  7.2(120)  +  390
                          =      864          -      864      +  390
                          =      $390  per day.

If you produce any other number of bats in a day ... more than zero
but not 120 ... then it will cost you more than $390 to operate the factory
that day.
8 0
3 years ago
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