To find the Least Common Denominator (LCD) of rational expressions, we choose the higher power of exponent for similar factors and for the factors they don't share, we just multiply it to find the LCD. It's best to show this by answering the problems provided.
For the first one, we have
since both denominators 4 and x² do not share any common factor, we just multiply them to find the LCD. So, we have
A. 4x².
For the next item, we have
we first check the coefficients of the denominators 5 and 7. Since they don't share any common factor, the LCD must have a coefficient of 7(5) = 35. As for the expressions, b and b³c, since they share a common factor of b, we choose the one with the greater exponent. Finally, we have an LCD of 35(b)(c) =
35b³c.
Following the same rules, the LCD of 3m/ (m + n) and 3n/ (m - n) is
(m + n)(m -n ).
Adding rational expressions is similar to adding fractions. First, we get the LCD of the expression then express it so that both expressions have a common denominator.
So, we have
For the next item,
Lastly, we have
Answer:
Noah
Step-by-step explanation:
For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute. Noah types faster because he can type more words per minute.
Answer:
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
Step-by-step explanation:
We have the following:
x = the speed of the jet in still air.
y = the speed of the wind
we know that the speed is equal to:
v = d / t
therefore the distance would be:
d = v * t
if we replace with the information of the exercise we have:
3 * (x + y) = 1095
3 * (x - y) = 987
we must solve this system of equations, add both equations and we are left:
3 * x + 3 * y = 1095
3 * x - 3 * y = 987
3 * x + 3 * y + 3 * x - 3 * y = 1095 + 987
6 * x = 2082
x = 2082/6 = 347
now to calculate y, we replace:
3 * (347 + y) = 1095
1041 + 3 * y = 1095
3 * y = 1095 - 1041
y = 54/3 = 18
The speed of the jet is 347 mph and the speed of the wind is 18 mph.
(B) "had prepared us equally well for the challenges of
work and of further study"
The provided statement has a parallelism mistake. The noun "work" should be used instead of "working," as the two elements united by "and" should be parallel. Option B fixes this issue without creating any other ones.
There is a parallelism mistake in Option (A). The noun "work" should be used instead of "working," as the two elements united by "and" should be parallel. Choice (C) has an agreement mistake. Our numerous liberal arts courses are a plural topic, thus the singular verb "has supplied" is incongruous.
Choice (D) has an agreement mistake. Our numerous liberal arts courses are a plural topic, thus the singular word "leaves" does not make sense. Choice (E) uses awkward language. It should be "prepared us for," rather "were the preparation for making."
Here's another question with an answer similar to this about parallelism:
brainly.com/question/22746827
#SPJ4
Answer:
<h3><u>x=1 and x=</u><u>-</u><u>15</u> is the right answer.</h3>