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kvv77 [185]
3 years ago
10

7.

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Answer:

não sei não falo seu idioma

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Identify whether each value of x is a discontinuity of the function by typing asymptote, hole, or neither. 5x/ x3 + 5x2 + 6x
tatiyna

Answer: hole at x = 0, asymptotes at x = -2 and x = -3

<u>Step-by-step explanation:</u>

  \frac{5x}{x^{3} + 5x^{2} + 6x}

= \frac{5x}{x(x^{2}+5x + 6)}

= \frac{5x}{x(x+2)(x+3)}

x ≠ 0 ---> the x cancels out so this is a hole  

x + 2 ≠ 0   ---> x ≠ -2   ---> asymptote at x = -2

x + 3 ≠ 0   ---> x ≠ -3   ---> asymptote at x = -3

3 0
2 years ago
Read 2 more answers
A gardener is planting two types of trees: Type A is 9 feet tall and grows at a rate of 6 inches per year. Type B is 6 feet tall
xenn [34]

It will take exactly 3 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees

  • Type A is 9 feet tall and grows at a rate of 6 inches per year.
  • Type B is 6 feet tall and grows at a rate of 18 inches per year.

We need to find exactly how many years it will take for these trees to be the same height

To solve this problem let us make an equation of each type and then equate the two equations to find the number of years

Assume that the two types will have the same heights in x years

∵ Type A is 9 feet tall and grows at a rate of 6 inches per year

- Change the feet to inches

∵ 1 foot = 12 inches

∴ 9 feet = 9 × 12 = 108 inches

The height of the tree after x years is the sum of the initial height and the product of the rate of growth and the number of years

∵ The rate of growth = 6 inches per year

∵ The number of years = x

∵ The initial height = 108 inches

∴ The height of tree A = 108 + 6 x

∵ Type B is 6 feet tall and grows at a rate of 18 inches per year

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∵ The rate of growth = 18 inches per year

∵ The number of years = x

∵ The initial height = 72 inches

∴ The height of tree B = 72 + 18 x

Now equate the two equations to find x

∵ 72 + 18 x = 108 + 6 x

- Subtract 72 from both sides

∴ 18 x = 36 + 6 x

- Subtract 6 x from both sides

∴ 12 x = 36

- Divide both sides by 12

∴ x = 3

It will take exactly 3 years for these trees to be the same height

Learn more:

You can learn more about the linear equations in brainly.com/question/9801816

#LearnwithBrainly

4 0
2 years ago
Some four​-digit ​numbers, such as 3003 and 6226​, read the same forward and backward. If a boy selects a number from all four​-
Norma-Jean [14]

<u>Answer:</u>

The probability of selecting such number =\frac{90}{9000} = \frac{1}{100}

<u>Explanation:</u>

4-digit numbers start from 1000 and ends at 9999

So, there are 9000 4-digit numbers present

There are 90 palindrome numbers (which reads the same forward and backward) present between 1000-9999. They are 1001; 1111; 1221; 1331; ... 1001; 1111; 1221; 1331; ... to 9669; 9779; 9889; 9999; 9669; 9779; 9889; 9999

Therefore, the probability of selecting such number =\frac{90}{9000} = \frac{1}{100}

3 0
2 years ago
What units would you use for each scenario that follows?
oksano4ka [1.4K]
A. miles
b. inches
c. pounds
5 0
3 years ago
The graph of y=x^2 is reflected in the x-axis and translated 3 units right and 2 units up. Write an equation for the function in
Anna [14]
Y= (x-3)^2 +2 I hope I helped :)
8 0
3 years ago
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