Answer:
y -1 = 2(x -3)
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . line with slope m and y-intercept b
y = 2x +3 . . . . . line with slope 2 and y-intercept 3
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A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)
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<em>Additional comment</em>
If you want the slope-intercept form you can solve for y:
y = 2(x -3) +1 = 2x -6 +1
y = 2x -5 . . . . . slope-intercept form of the parallel line
Answer: >, <, ≥, ≤
Step-by-step explanation: Any of these are clear indicators of an inequality
Answer:
Last option: increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
Step-by-step explanation:
The function given is an absolute cubic function. (Pictured below).
We can determine from the graph that the equation increases over the interval:
increasing: -2 < x < 0 and x> 3/2;
decreasing: x < -2 and 0 < x < 3/2
Answer:
- 3.6 pounds of granola and 5.4 pounds of nuts
Step-by-step explanation:
Let the required granola be x pounds, then amount of nuts is 9 - x.
<u>The price of the mixture is as below equation:</u>
- 6.5x + 9(9 - x) = 8*9
- 6.5x + 81 - 9x = 72
- 81 - 2.5x = 72
- 2.5x = 81 - 72
- 2.5x = 9
- x = 9/2.5
- x = 3.6
<u>Find the amount of nuts:</u>
