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AlekseyPX
3 years ago
12

Find the least common denominator for these two rational expressions 7/n^2 -8/7n

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

7n²

Step-by-step explanation:

7/n² - 8/7n

Least common multiple will be the least common denominator

L.C.M = 7n²

Dividing the L.C.M by denominators and multiplying with numerators;

((7×7) - (n×8))/7n²

= (49 - 8n)/7n²

7n² is the least common denominator

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Viefleur [7K]

Answer:

15

Step-by-step explanation:

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2 years ago
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What is the mean of 320,294,265, and 301
Gwar [14]

adding 320,294,265 and 301=1180

4 divided by 1180=answer 295

5 0
3 years ago
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A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of eleva
taurus [48]

The distance from the base of the telephone pole to Curtis is about 15 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the distance from the base of the telephone pole to Curtis, hence:

tan(51.4) = (24 - 5.2) / d

d = 15 feet

The distance from the base of the telephone pole to Curtis is about 15 feet.

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4 0
2 years ago
Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)
USPshnik [31]
See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) +  f(\frac{x_{1} + x_{2} }{2}) + ... +  f(\frac{x_{n-1} + x_{n} }{2})]

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
M_{4} = \frac{1 - 0}{4} [ f(\frac{0 +  \frac{1}{4} }{2}) +  f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) +  f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})]
M_{4} = \frac{1}{4} [ f(\frac{1}{8}) +  f(\frac{3}{8}) +  f(\frac{5}{8}) + f(\frac{7}{8})]

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})]

M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})]

M₄ = 1/4 · (2 - 478/512)
     = 0.2666

Hence, the <span>area of the region bounded by y = x³ and y = x</span> is approximately 0.267 square units.

6 0
3 years ago
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigge
Julli [10]

Answer: 6 feet to 8 feet

Step-by-step explanation: 6x4=24 8x6=48

5 0
3 years ago
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