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Dominik [7]
3 years ago
9

2/3 divided by 7/12 PLSLSLSLSLSLLSLSL

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

0.00793650794 or 8/7 in fraction form

Step-by-step explanation:

Find the reciprocal of the divisor

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X-intercept is -1 implies line passes through (-1,0). 
So point slope form is

y - 0 = -2 (x -(-1) )

>> y  = -2 (x +1)   <----- FINAL ANSWER
8 0
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when you're dividing fractions you only flip the numbers around and multiply them if the numerator is higher than the denominato
Whitepunk [10]

Answer:

Step-by-step explanation:

Actually, when dividing fractions, you always flip the second fraction and multiply, no matter the size of the numerator or denominator.

6 0
3 years ago
Use algebra to simplify the expression before evaluating the limit. In particular, factor the highest power of n from the numera
bija089 [108]

Answer:

a) {2/n²-7/n+9}/{8+2/n-6/n²}

b) 9/8

c) The sequence converges

Step-by-step explanation:

Given the limit of the function

limn→[infinity]2−7n+9n²/8n²+2n−6

To simplify the function given, we will have to factor out the highest power of n which is n² from the numerator and the denominator. The function will then become;

2−7n+9n²/8n²+2n−6

= n²{2/n²-7/n+9}/n²{8+2/n-6/n²}

The n² at the numerator will then cancel out the n² at the denominator to have resulting simplified equation as;

{2/n²-7/n+9}/{8+2/n-6/n²}

Evaluating the limit of the resulting equation will give;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

Note that limn→[infinity] a/n = 0 where a is any constant.

Therefore;

limn→[infinity] {2/n²-7/n+9}/{8+2/n-6/n²}

= (0-0+9)/(8+0-0)

= 9/8

Since the limit of the sequence gives a finite value which is 9/8, thus the sequence in question is a convergent sequence.

The limit of a sequence only diverges if the limit of such sequence is an infinite value.

5 0
3 years ago
Tyler is planting 60 trees at the apple orchard he will plan 8 trees in each row how many full rows of trees will Tyler plant?
Ainat [17]
He would maybe have 7.5 but I insist you the answer could be 8 too
6 0
3 years ago
The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re
Elan Coil [88]

Answer:

  • width: 18 in
  • length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

  W +9 = L

  LW = 486

Substituting gives ...

  (W+9)W = 486

  W^2 +9W -486 = 0 . . . put in standard form

  (W +27)(W -18) = 0 . . . . factor

  W = 18 . . . .  the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

3 0
3 years ago
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