The equation 4[x + 2(3x −7 )] = 22x − 65 was simplified to write the equivalent equation of 28x-56=22x-65.

Mathematics

1 answer:

Klio2033 [76]4 years ago

6 0

Answer:

x = -3/2

Step-by-step explanation:

Starting from the simplified form, we can subtract 22x to get ...

6x -56 = -65

6x = -9 . . . . . . . . add 56

x = -9/6 = -3/2 . . . . divide by 6 and simplify

The solution of the equation is x = -3/2.

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<em>Check</em>

Substituting -3/2 for x in the original equation, we get ...

4[-3/2 +2(3(-3/2) -7)] = 22(-3/2) -65

4[-3/2 +2(-23/2)] = -33 -65

4[-3/2 -23] = -98

4[-49/2] = -98 . . . . . . . true

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Find the common difference of the following sequence.

Darya [45]

You have the correct answer. It is choice B) -1/4

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Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

----------

To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

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3 years ago

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3 years ago

In a game the player wins if he rolls a 6 on a number cube .if the number cube is rolled 18 times then what is the reasonable

sp2606 [1]

<h2>Answer:</h2>

Prediction for the number of unsuccessful rolls is 15.

<h2>Step-by-step explanation:</h2>

There is $\frac{1}{6}$ chance of rolling number 6 on the cube. If we want to find out what is the prediction for rolling number 6 in 18 rolls, we need to multiply $6*\frac{1}{6}$ which is 3. So if we roll a cube 18 times, we will probably got number 6 three times. When we subtract 3 from 18 (18-3), we get 15. That is the answer to your question.