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05.02.2020 •
Mathematics
Which function has the greatest y- intercept? a. f(x)= 3x) b. 2x+3y=12 ) c. the line that has a slope of 2 and passes through (-1,-4) d. a graph
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Ответ:
#4
Step-by-step explanation:
1) The y intercept is 0.
2) Convert to slope-intercept form:
2x + 3y = 12
3y = -2x + 12
y = -2/3 x + 4
So the y-intercept is 4.
3) Write in point-slope form:
y + 4 = 2 (x - 1)
Now convert to slope-intercept form:
y + 4 = 2x - 2
y = 2x - 6
So the y-intercept is -6.
4) The y-intercept is 5.
So of the four lines, #4 has the largest y-intercept.
Ответ:
Step-by-step explanation:
The question is asking, which function has the greatest value when x = 0?
We must evaluate f(0) for each one.
(1) ƒ(x) = 3x
f(0) = 3 × 0 = 0
(2) 2x + 3y = 12
Let x = 0.
2 × 0 + 3y = 12
0 + 3y = 12
3y = 12
y = 4
(3) The line
The line has a slope of 2, and y= -4 when x = 1.
y increases by 2 when x increases by 1.
For the same reason, y decreases by 2 when x decreases by 1.
Thus, when x decreases from 1 to 0, y decreases from -4 to -6.
f(0) = -6.
(4) The graph
The graph has a y-intercept at y = 5, so,
f(0) = 5.
Ответ: