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Which statements about the value of the digits in the number 6,666,666 are true?
1 answer:
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Using an linear function, we have that:
- The inequality is:
- The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem:
- A warehouse contains 7250 books in it, hence b = 7250.
- Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.
Thus, the number of books each day is modeled by the following function:
It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:
Then:
The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.
More can be learned about linear functions at brainly.com/question/24808124
Answer:
The coordinates of E are .
Step-by-step explanation:
The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.
Vectorially speaking, dilation is defined by the following operation:
(1)
Where:
- Point of reference.
- Original point.
- Dilated point.
- Dilation factor.
By applying this operation, point B becomes point D:
,
Lastly, we transform point C into point E by applying the same operation: ,
and
The coordinates of E are .