Can x-2 ever be less than 0? Why or why not?

Mathematics

2 answers:

nekit [7.7K]3 years ago

5 0

Of course it can. It always is if 'x' is less than 2.

EastWind [94]3 years ago

4 0

Yes, it can.

See inequality:

x-2 < 0
x < 2

So, any value of x smaller than 2 become x- 2 a negative result.

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The mean of the values in a data set is c. If each of the values in the data set were multiplied by 6, what would be the mean of

oksian1 [2.3K]

Answer:

Mean of the data would be 6c

Step-by-step explanation:

Rule to Remember: Whenever each term of the data is multiplied by the same number, the new mean is previous mean multiplied by that number.

In this case, original value of mean was c. Each value of the data is multiplied with 6 so a result the new mean would be 6 times the original mean i.e. 6c

Let us consider that original values in the data set are x, y and z. Their mean would be:

$Mean=\frac{x+y+z}{3}$

If each value of the data is multiplied with 6, the new values would be 6x, 6y and 6z. The mean in this case will be:

$Mean=\frac{6x+6y+6z}{3}\\Mean=\frac{6(x+y+z)}{3}\\Mean=6\times\frac{x+y+z}{3}\\Mean=6c$

We can see from above that the new mean is 6 multiplied to the original mean.

Therefore, the answer to this question is 6c.

7 0

2 years ago

the length of a rectangle is 1 inch more than twice its width. if the perimeter of the rectangle is 74 inches, find the dimensio

Tatiana [17]

L = 2W + 1..................(1)
2L + 2W = 74
2L = -2W + 74..............(2) Adding (1) and (2):-

3L = 75
L = 75/3 = 25

W = (25 - 1) / 2 = 12

length is 25 inches and width = 12 inches

7 0

2 years ago

Use the distributive property to expand -4 (-2+3x). Which is an equivalent expression?

Verizon [17]

Answer:

The answer should be 8-12x......if i take a wild guess out of your answer choices, would say C.

Step-by-step explanation:

-4 (-2+3x)

[carry over the -4 to (-2) and (3x) ]

8-12x

4 0

2 years ago