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12.10.2020 •
Mathematics
Equation is y=1.5x+4 find an answer for: Write an equation in standard form whose line is less steep and translated down 7 units.
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Ответ:
6x -5y = 15
Step-by-step explanation:
The given line has a slope of 1.5 and a y-intercept of 4. We assume that "translated down 7 units" means the y-intercept needs to be -3. "Less steep" will mean the slope is less than 1.5. We can make the slope be 1.2, so it will be less steep.
Then the slope-intercept form of the desired line is ...
y = 1.2x -3
Adding 3-y, this becomes ...
1.2x -y = 3
Multiplying this by 5 to put it into standard form, we have ...
6x -5y = 15
_____
Additional comment
Since the lines have different slopes, each point on the original line will be translated up or down by a different amount. We chose the y-intercept as the point to be translated by the specified amount. The question could be more clear on that point, as well as whether lines with negative slope (say, -2) are considered to be "less steep."
Ответ:
2/3
Step-by-step explanation:
There are 6 possible numbers
all of the prime numbers from 1 to 6 are
2, 3, 5 ( plus 1 because this problem is counting 1 along with the prime numbers)
That is 4 numbers
4 out of 6 numbers
so there is a 4/6 or 2/3 chance that George will roll a 1 or a prme number