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monitta
2 years ago
15

Find the least common multiple of the following numbers. 15: 30: 6: 8:

Mathematics
2 answers:
snow_lady [41]2 years ago
8 0

Answer:

I think it's 120

Step-by-step explanation:

inna [77]2 years ago
8 0
The smallest whole number that can be divided by all numbers would be 120. The LCM is 120
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Pls help this is pretty urgent
KIM [24]

Answer:

(a)  0

(b)  f(x) = g(x)

(c)  See below.

Step-by-step explanation:

Given rational function:

f(x)=\dfrac{x^2+2x+1}{x^2-1}

<u>Part (a)</u>

Factor the <u>numerator</u> and <u>denominator</u> of the given rational function:

\begin{aligned} \implies f(x) & = \dfrac{x^2+2x+1}{x^2-1} \\\\& = \dfrac{(x+1)^2}{(x+1)(x-1)}\\\\& = \dfrac{x+1}{x-1}\end{aligned}

Substitute x = -1 to find the limit:

\displaystyle \lim_{x \to -1}f(x)=\dfrac{-1+1}{-1-1}=\dfrac{0}{-2}=0

Therefore:

\displaystyle \lim_{x \to -1}f(x)=0

<u>Part (b)</u>

From part (a), we can see that the simplified function f(x) is the same as the given function g(x).  Therefore, f(x) = g(x).

<u>Part (c)</u>

As x = 1 is approached from the right side of 1, the numerator of the function is positive and approaches 2 whilst the denominator of the function is positive and gets smaller and smaller (approaching zero).  Therefore, the quotient approaches infinity.

\displaystyle \lim_{x \to 1^+} f(x)=\dfrac{\to 2^+}{\to 0^+}=\infty

5 0
1 year ago
Read 2 more answers
19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books
harkovskaia [24]

Answer:

1:8

Step-by-step explanation:

You subtract 19 and 8, and you get 11 then you put them in ration form

Step-by-step explanation:

5 0
2 years ago
12 times (3 times 2 to the power of 2) divided by 2 - 10
professor190 [17]

Answer:

32

Step-by-step explanation:

2 to the power of 2 is 4

12×(3+4)÷2-10

12×7÷2-10

84÷2-10

42-10

ANS=32

5 0
3 years ago
Can i get some help​
Step2247 [10]

Answer:

for #11 the answer is 13

Step-by-step explanation:

8 0
3 years ago
Wanda's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 75 espressos in all,
strojnjashka [21]

Answer:

68%

Step-by-step explanation:

51/75 × 100% = 68%

5 0
3 years ago
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