1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adell [148]
2 years ago
7

(01.03. 106, 1.08 HC)

Mathematics
1 answer:
zlopas [31]2 years ago
7 0

Answer:

  A) see attached for a graph. Range: (-∞, 7]

  B) asymptotes: x = 1, y = -2, y = -1

  C) (x → -∞, y → -2), (x → ∞, y → -1)

Step-by-step explanation:

<h3>Part A</h3>

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

  \dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2

This has a vertical asymptote at x=1, and a hole at x=2.

The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.

The graph is attached.

The range of the function is (-∞, 7].

__

<h3>Part B</h3>

As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

__

<h3>Part C</h3>

The end behavior is defined by the horizontal asymptotes:

  for x → -∞, y → -2

  for x → ∞, y → -1

You might be interested in
According to a Gallup survey conducted in July 2011, 20% of Americans favor reducing the U.S. budget deficit by using spending c
Yakvenalex [24]

Answer:

Option C is correct.

The test statistic for this question is -3.13

Step-by-step explanation:

To compute the z-test statistic, the formula is given as

z = (x - μ₀)/σₓ

x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15

μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20

σₓ = standard error of the sample proportion = √[p(1-p)/n]

p = 0.15

n = Sample size = 500

σₓ = √[0.15×0.85/500] = 0.01597

z = (0.15 - 0.20) ÷ 0.01597

z = -3.13

Hope this Helps!!!

8 0
3 years ago
Round to the nearest thousandth 0.416
Liula [17]
Here is the value of each decimal digit value

.4⇒ tenths place

.01⇒hundredths place

.006,thousandths place

So .416 is .416 rounded since there is nothing to round to

In other words, its already rounded to the nearest thousandths 
Its kinda a trick question to make sure you know your place values
3 0
3 years ago
Which shows the best estimate to use<br> to find 43 × 78?
Over [174]

Answer:

The best estimate for 43x78 is 40x80

Step-by-step explanation:

43 rounded to the nearest ten is 40.

78 rounded to the nearest ten is 80.  

The answer to 40x80 is 3200

4 0
3 years ago
Gina mixed paint to make her favorite shade of purple. She filled up one third of the container with red paint. Then she filled
Masteriza [31]
There is 1000 milliliters in a liter. So we're gonna work with thirds. One third is already filled, so that means two thirds is not . So 4 liters fills up 2/3 which we can infer that 2 liters fills up one third of the area... so there is 6 liters in total. Which means there is a total of 6000 milliliters of paint.
3 0
3 years ago
Read 2 more answers
What is the mean, median, mode, and range from this data?
34kurt

Answer:

mean = 4

medin = violet

mode = light blue

range = 4

Step-by-step explanation:

mean = sum/no

mode = largest number

median = (n+1)/2th item

rnge = largest - smllest

6 0
3 years ago
Other questions:
  • What is the ratio of 9 and 30​
    14·2 answers
  • Radius of 8 find the area?
    6·1 answer
  • The question I have is this 90+30+a=180
    15·2 answers
  • Expand 3(z+3) please help me solve this
    9·1 answer
  • The San Diego Zoo houses 37 sea lions. This is roughly 2% of the total seal lion population in California. How many sea lions ar
    13·1 answer
  • Product of (x+y+2)(y+1)
    11·1 answer
  • HELP ME PLZ !!! IT'S ALGEBRA
    5·1 answer
  • Solve the division equation using the model. (1 point)
    15·1 answer
  • PlEASE HELP ME PEOPLE HUMPTH OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does
    12·1 answer
  • 12. Create a two-way relative frequency table (in decimals) for the data in Exercise 9. Communication Gender Male Femal e Total
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!