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lord [1]
3 years ago
14

Express the quotient in simplest form.

Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0

Answer:

c. \frac{(x - 2)}{x^{3}}

Step-by-step explanation:

\frac{(x - 2)(x + 2)}{x^{2}(x + 7)} × \frac{(x + 7)(x - 3)}{ x(x - 3)(x + 2)}

\frac{(x - 2)}{x^{3}}

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Would 1/5 be greater than 1/3 but less than 2/3
makvit [3.9K]
1/5 = 3/15
1/3 = 5/15
2/3 = 10/15
So no :)

Reason why:
You want to find the common denominator between all three fractions, so all fractions are the same proportions. So in this case, if you multiply 5*3 you get 15, making it the common denominator. Then since you multiplied the 5 in 1/5 by 3 to get 15, and you have to multiply the 3 in 1/3 and 2/3 by 5 to get 15, then you multiply the numerator by the same number.

Sorry I am terrible at explaining things. Hope this helped though!
7 0
3 years ago
A rectangular garden has an area of 22 square feet. If its length is 7 feet less than twice its​ width, find the dimensions of t
DedPeter [7]

Answer: Width is 5.5 ft, length is 18 ft

7 0
3 years ago
Very important!! Solve the inequality 6r + 30 ≥ 12 or -r > 12 (the question is important for high school application c:)
Fofino [41]

First simplify the one inequality, 6r + 30 greater than or equal to 12 just divide by 6 then subtract 30 from both sides of the inequality. You should get r is greater than or equal to -3. For this one you need to reverse the inequality symbol then divide both sides by -1 to get a positive r, and you get r is less than -12. It's not A because there's two solutions, and it's not D for the same reason. It's not C because r isn't greater than -12. In conclusion it's B because it correctly represents the solutions that make the inequality true. I hope this helps you on your high school application :)

7 0
3 years ago
The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.
Sergeu [11.5K]

Answer:

P(z>1.3) = 0.9032

Step-by-step explanation:

We are given:

Mean = 5000

Standard deviation = 1000

x = 6300

P(x>6300)=?

z-score =?

z-score = x- mean/standard deviation

z-score = 6300 - 5000/1000

z- score = 1300/1000

z-score = 1.3

So, P(x>6300) = P(z>1.3)

Looking at the z-probability distribution table and finding value:

P(z>1.3) = 0.9032

So, P(z>1.3) = 0.9032

7 0
4 years ago
What are 2 equivalent ratios to 27:9?​
Andrei [34K]

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

8 0
3 years ago
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