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Nadusha1986 [10]
3 years ago
15

Solve for x 1 = − 4 + x

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer: x = 5


Step-by-step explanation:

1 = -4 + x

We have to isolate x, and remember, what we do to one side we do to the other.

1 + 4 = -4 + 4 + x

5 = x

Check:

-4 + 5 = 1

1=1

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Which shows all the critical points for the inequality x2-4/x2-5x+6<0
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Answer:

x = ±2, 3 are the critical points of the given inequality.

Step-by-step explanation:

The given inequality is \frac{(x^{2}- 4)}{x^{2}-5x+6}

To find the critical points we will equate the numerator and denominator of the inequality to zero.

For numerator,

x^{2}-4=0

(x - 2)(x + 2) = 0

x = ±2

For denominator,

x² - 5x + 6 = 0

x² - 3x -2x + 6 = 0

x(x - 3) -2(x - 3) = 0

(x - 3)(x - 2) = 0

x = 2, 3

Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.

7 0
3 years ago
What is the answer? To this question
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Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

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3 years ago
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Find the sum of each set of numbers, as well as the size n of each set of numbers (n = number of numbers in the set). Use these
guapka [62]

We have to add numbers without a calculator.

1) 25, 35, 19, 31

We can group them by the last digit, so they are easy to add:

25 + 35 = 20 + 30 + 5 +5 = 50 + 10 = 60

19 + 31 = 10 + 30 + 9 +1 = 40 + 10 = 50

Then, 60 + 50 = 110

numbers in the set n = 4

Sum = 110

2) 101, 73, 49, 27, 24, 36

We can group them again by the last digit (adding 10, like the previous example).

We can substract the last digit from one number and add it to the other one. The result will be the same, but they will become easier to add.

101 + 49 = 100+50 = 150

73 + 27 = 70 + 30 = 100

24 + 36 = 20 + 40 = 60

150 + 100 + 60 = 250 + 60 = 310

numbers in the set n = 6

Sum = 310

3) 25, 25, 25, 30, 30, 30, 32, 32, 32

In this case we have 3 times the same numbers, so we can add the three different numbers and then multiply the total by 3.

We can use the properties of the multiplication to simplify the product (we will use the distributive property)

25 + 30 + 32 = 27 + 30 + 30 = 87

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numbers in the set n = 9

Sum = 261

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1 year ago
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