Complete the square for the function f(x) = x² - 4x + 6. What is the minimum point on a graph of this function?
1 answer:
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a)
Dimensions: 7.5m x 4.5m
Cost , x= $14.17/m^2.
The area of the rectangular room can be calculated as,
Now, the cost of carpeting the rectangular room is,
Therefore, the cost of carpeting the room with dimensions 7.5m x 4.5m is $478.24.
b)
Dimensions: 17 yd. x 12 yd.
Cost, x= $25/yd^2.
The area of the rectangular room can be calculated as,
Now, the cost of carpeting the rectangular room is,
Therefore, the cost of carpeting the room with dimensions 17 yd. x 12 yd is $5100.
<h2>We know that</h2>
The initial height is 20 feet above the ground.
The function to model the velocity is
Where <em>s</em> represents the distance in feet.
Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.
Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.
<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>
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Using interval notation would be
Answer:
The function is y = 2x + 1.
And mike graphed the function correctly.
Menna took the point where the function touches x-axis incorrectly.
Instead of (-1/2,0), Menna took it as (-2,0)
Step-by-step explanation:
The equation y = mx +c indicates a straight line whose slope is m
And y-intercept is c.
y-intercept is nothing but the distance between origin and point where the graph crosses the y-axis (0,c).
Now, this graph crosses x-axis when y = 0.
⇒ mx + c = 0; ⇒ x = .
Now, by comparing y = 2x + 1 with y = mx + c.
m=2 and c=1
⇒ the graph should crosses y-axis at (0,c) = (0,1)
And touch x-axis at ( , 0) = (
,0)
⇒ mike graphed the function correctly.
Menna took the point where the function touches x-axis incorrectly.
Instead of (-1/2,0), Menna took it as (-2,0)