4/6 = 14/21
When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator
4×21 = 6×14
84=84
They are equivalent because they both equal 84
9514 1404 393
Answer:
D. Dividing both sides of the equal sign by a negative number.
Step-by-step explanation:
The inequality symbol is reversed when an operation is performed that changes ordering. The most usual cases are multiplication or division by a negative number.
For example:
-2 < 1
2 > -1 . . . . multiply or divide both sides by -1
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These operations are not the only ones that change ordering. Care must be taken when applying functions. f(x) = 1/x and f(x) = cos(x) are functions that potentially change ordering, for instance.
_____
We note that the question asks about inequalities, and the discussion above is about inequalities. However, the answer choices all refer to an equal sign. (?!) We assume the expected response is ...
D. Dividing both sides of the equal sign by a negative number.
Answer:
Increasing in x < 7 and decreasing in x > 7.
Step-by-step explanation:
g(x) = 1 -
<u>If a function is increasing in a interval, its first derivative is positive and if a function is decreasing in an intreval, its first derivative is negative.</u>
Using this concept here,
Substitute x > 7,
the first derivative is negative.Hence it is decreasing in this interval.
Substitute x < 7,
The first derivative is positive.Hence it is increasing in this interval.
Hence the answer is increasing in x < 7 and decreasing in x > 7.
Answer:
I'm not completely sure about the first one, but #8 is 0.0419, and #9 is 30500.
First, you should combine the x terms:
-3x - 7 = 29
Then, get rid of the negative 7, by adding 7 to both sides.
-3x = 22
Finally divide 22 by -3, to solve for x.
x = -22/3 or -7.33