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hichkok12 [17]
3 years ago
14

How many solutions does 5-2x=4-2x+4+x

Mathematics
2 answers:
KatRina [158]3 years ago
8 0

Answer:

Step-by-step explanation:

Simplifying

5 + -2x = 4 + -2x + 4 + x

Reorder the terms:

5 + -2x = 4 + 4 + -2x + x

Combine like terms: 4 + 4 = 8

5 + -2x = 8 + -2x + x

Combine like terms: -2x + x = -1x

5 + -2x = 8 + -1x

Solving

5 + -2x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

5 + -2x + x = 8 + -1x + x

Combine like terms: -2x + x = -1x

5 + -1x = 8 + -1x + x

Combine like terms: -1x + x = 0

5 + -1x = 8 + 0

5 + -1x = 8

Add '-5' to each side of the equation.

5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0

0 + -1x = 8 + -5

-1x = 8 + -5

Combine like terms: 8 + -5 = 3

-1x = 3

Divide each side by '-1'.

x = -3

Simplifying

x = -3

OverLord2011 [107]3 years ago
6 0

Answer:

one solution; the answer is -3 = x

Step-by-step explanation:

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Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}. Express each of the following subsets with bit strings (of length 10
Vladimir [108]

Answer:

0011100000

1010010001

0111001110

Step-by-step explanation:

As the question is not complete, Here is the complete question.

Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets with bit strings where the ith bit in the string is 1 if i is in the set and 0 otherwise.

a) {3, 4, 5}

b) {1, 3, 6, 10}

c) {2, 3, 4, 7, 8, 9}.

So, we need to express a) b) and c) into bit strings.

Firstly, number of elements in the universal set represent the number of bits in the bit string.

Secondly, 1 = yes element is present in both universal set as well as in sub set.

0 = No, element is not present in sub set but present in universal set.

Hence, we have:

a) Sub set {3,4,5} = 0011100000  (As there are 3 1's which means only 3,4,5 are present in both universal set and subset.

Similarly,

b) Sub set {1, 3, 6, 10} = 1010010001

c) Sub set {2, 3, 4, 7, 8, 9} = 0111001110

5 0
3 years ago
The constraint for the potential plant site 2 can be written as:
sdas [7]

Answer:

c. x21 + x22 + x23 less or equal than 2800 y2

Step-by-step explanation:

The plant has a maximum capacity of 2800 then the sum of all these operations must be equal to or less than 2800. The site of the plant has capacity constraint which needs to be determine through equation. The total capacity for the plant 2 is only 2800 the operation has to be distributed with keeping in mind the capacity limit.

4 0
3 years ago
What is the range of f(x) = 3x + 9?
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There is no restriction upon the domain, the x values, and is all real numbers or (-oo,+oo)

From such it is clear that the domain also contains all real numbers.

The range of f(x) is (-oo,+oo)
8 0
3 years ago
The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of
djverab [1.8K]

Answer:

7 seconds

Step-by-step explanation:

The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second.

surface area of the completely inflated balloon is 784 cm²

SA=4r²

784= 4r²

784/4= r²

196 = r²

14cm = r

Yhe radius of the complete inflated balloon is 14cm

If the ball inflate at the rate of 2 cm per seconds

Then it took 14/2 = 7 seconds to inflate fully

5 0
3 years ago
A stock trading company charges a commission of $10 per trade plus $0.025 per dollar value of stock traded. If your commission i
pickupchik [31]

Answer:

Value of the stock traded was $5200.

Step-by-step explanation:

In this question it is given that trading company charges commission of $10 per trade or transaction plus $.025 per dollar value of stock.We have to calculate the value of stock we traded if total commission (commission on trade value + commission on trade) is $140.

Let the value of stock traded was $x.

Then commission on value of the stock = x×.025

Commission on transaction = $10

Total commission = 140 = ( .025x + 10)

⇒.025x = 140-10 = 130

x = 130÷.025 = $5200

So the value of the stock = $5200

4 0
3 years ago
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