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Novosadov [1.4K]
4 years ago
12

Identify the holes, vertical asymptotes and horizontal asymptotes of f(x)=x²+7x+12/-x²-3x+4

Mathematics
1 answer:
faust18 [17]4 years ago
8 0
<h3>Answer:</h3>
  • hole: x = -4
  • vertical asymptote: x = 1
  • horizontal asymptote: y = -1
<h3>Step-by-step explanation:</h3>

The function factors as ...

... f(x) = -(x+3)(x+4)/((x-1)(x+4)) = -(x+3)/(x-1) . . . . x ≠ -4

and the quotient is ...

... f(x) = -(1 +4/(x-1))

... f(x) = -1 -4/(x-1) . . . . . x ≠ -4

This has a hole at x = -4 (where the denominator factor cancels the numerator factor), a vertical asymptote at x=1 (where the denominator is zero), and a horizontal asymptote at y = -1 (the value of the function for large values of x).

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The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write
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Answer:

Perimeter of rectangle:

(4x - 14)\text{ feet}            

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

x\text{ feet}

Width of rectangle:

(x-7)\text{ feet}

Perimeter of rectangle:

2\times \text{(Length + Width)}

Expressions to calculate perimeter

1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}

The attached image shows the image of the rectangle.

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3 years ago
Plz help need it’s down now
Alex_Xolod [135]

Answer:

A. is Inverse correlation and B. is More money

Step-by-step explanation:

A. the relationship is inverse, which means that the more weeks had past, the less he spent

B. Since he is spending less money each week and he earns the same amount, this means that he is saving more money

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3 years ago
What is cos P?<br><br> A. 5/13<br><br> B. 12/5<br><br> C. 5/12<br><br> D. 12/13
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4 0
4 years ago
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The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many g
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Answer:

Step-by-step explanation:

You'd do 80% times 32. You have to move the 80 to the left 2 times. then multiply.

7 0
3 years ago
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

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<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

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3 years ago
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