Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Answer: 14.4 h
The speed is : 
The time it takes to travel 279 miles :
On the 1st place he can put 6 textbooks, on the 2nd 5 textbooks etc...
6 · 5 · 4 · 3 = 360
Answer: D) He can arrange textbooks in 360 ways.
Answer:
4/3
Step-by-step explanation:
The number of items / How many people you need to spit it between
The y-intercept of the line that is shown if the slope is 0 is: 2.
<h3>What is the Y-intercept of a Graph?</h3>
The y-intercept of a graph is the value of y when x = 0, which is the point on the vertical axis (y-axis) where the line intercepts.
The graph given is an horizontal line having a slope value of 0. The equation of the line is therefore, y = 2.
Thus, from the given graph, the y-axis is intercepted by the line at y = 2. At this point where y = 2, the corresponding value of x is 0.
Therefore, the y-intercept of the line that is shown if the slope is 0 is: 2.
Learn more about y-intercept of a line on:
brainly.com/question/10700419
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