Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
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The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)
Answer:
6 2/3
Step-by-step explanation:
2 2/5 * 2 7/9
Change each number to an improper fraction
2 2/5 = (5*2+2)/5 = 12/5
2 7/9 = (9*2+7) = 25/9
12/5 * 25/9
Rewriting
25/5 * 12/9
5/1 * 4/3
20/3
Now changing to a mixed number
3 goes into 20 6 times with 2 left over
6 2/3
