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Eddi Din [679]
2 years ago
11

Solve for x: 3x – 2(6 - x) = 7x + 2(5 + x) – 6

Mathematics
1 answer:
MAVERICK [17]2 years ago
4 0

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

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3 years ago
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Elza [17]

Answer:

Standard form: x^3+3x^2-x-3

Leading coefficient: 1

Step-by-step explanation:

3x^2-x-3+x^3=\\x^3+3x^2-x-3

The leading coefficient is 1 because the leading term is x^3.

5 0
2 years ago
Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? (30 pts)
neonofarm [45]

Alright, so first we need to establish two things.

First, the compliment of a set is like the extreme opposite; everything that is not in set B will be in the complement.

Second, we need to find out what B is.

Okay, so B is everything that is greater than 2, that's given. That includes 3, 4, and 5. B = {3, 4, 5}. There are three items in this set.

The numbers that aren't included are 1 and 2. The complement of B, let's call this C I guess, is C = {1, 2}. There are 2 items in this set.

The answer, I believe, is <em>two</em>. Hope this helps!

6 0
3 years ago
How many ways can five cards be selected from a standard deck of 52 cards?​
elena55 [62]

Step-by-step explanation:

If the order of the cards doesn't matter:

₅₂C₅ = 52! / (5! (52−5)!)

₅₂C₅ = 2,598,960

If the order of the cards does matter:

52 × 51 × 50 × 49 × 48 = 311,875,200

6 0
3 years ago
Josh has a aquarium 30 inch deep.it takes him 5 min to fill the bucket with 3 inch of water.he estimates that it will take him u
Burka [1]

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

7 0
2 years ago
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