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mamaluj [8]
1 year ago
15

Deepak wrote out the steps to his solution of the equation startfraction 5 over 2 minus 3 x minus 5 plus 4 x equals negative sta

rtfraction 7 over 4 endfraction – 3x – 5 4x = –.
Mathematics
1 answer:
andre [41]1 year ago
4 0

The solution is x=3/4

How can we solve given equation?

First, we will solve like terms. Then shift constant to other side and keep x on the same side to get the value of x.

We can solve given equation as shown below:

5/2-3x-5+4x=-7/4

(5-10)/2+x=-7/4

-5/2+x=-7/4

x=5/2-7/4

x= (10-7)/4

x=3/4

Hence, the solution is x=3/4.

Learn more about Linear equations here:

brainly.com/question/43297

#SPJ4

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Given sets A and B, prove that the following two conditions are equivalent: (1) A \ B = B \ A, (2) A = B.
Jet001 [13]

Answer:

See proof below

Step-by-step explanation:

Remember that if we want to prove that two propositions P and Q are equivalent, we have to prove that P implies Q and Q implies P.

(1)→(2) Suppose that A \ B = B \ A, we will prove that A = B. Let x∈A, and for the sake of a contradiction suppose that x∉B. Then x∈A \ B by definition of difference of sets. Since A \ B = B \ A and x∈A \ B then x∈B \A, that is, x∈B and x∉A, which is a contradiction to the first assumption regarding x. Therefore x∈B, for all x∈A, which implies that A⊆B.

We can use a similar argument to prove that B⊆A, and both inclusions imply that A=B as we wanted to prove. Indeed, let x∈B, and suppose that x∉A Thus x∈B \ A. But A \ B = B \ A, then  x∈A \B, that is, x∈A and x∉B, which is absurd. Then x∈A, for all x∈B, that is, B⊆A.  

(2)→(1). Suppose that A = B. We will prove that A \ B = B \ A. By definition,  A \ B is the set of elements of A that do not belong to B. However, A=B, so A \ B is the set of elements of A that do not belon to A. There no exists such an element, since this condition is contradictory, thus A \ B=∅, the empty set. Similarly, B \ A = B \ B = ∅. The empty set is unique, therefore A \ B=∅=  B \ A.

The previous parts show that (1) and (2) are logically equivalent.

7 0
3 years ago
Brainliest to the right answer!
marshall27 [118]

Answer: 5 1/4

Step-by-step explanation:

7 0
2 years ago
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Which of the following statements is true?
likoan [24]

Answer: The correct option is C .The Ratio Test says that the series converges conditionally.

Step-by-step explanation:

Ratio test is used for testing convergence or divergence in series.

Iet consider a positive series

Summation a subscript n. £an

Let £an > 0.

Consider

Lim as n tends to infinity, 'a' subscript n+1 divided by 'a' subscript n = L

If L < 1 the series converges

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If L= 1 No conclusion.

The correct option is C because the series converges conditionally if L <1

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3 years ago
Dexter earns $12.50 each hour he helps his dad with landscaping.he helped his dad for 4.5 hours last weekend .How much did dexte
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Answer:

$56.25

Step-by-step explanation:

for every hour Dexter worked with his dad he made $12.50 since he worked with him 4.5 hours we have to multiply 12.50*4.5 or if easier add 12.5 four and a half time 12.5+12.5+12.5+12.5= 50 + 6.25 ( which is half of $12.50 because he only worked half an hour) = $56.25

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3 years ago
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