Answer:
<h3>
The y value achieves its minimum at x = 4/3</h3>
Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7


The y value achieves its minimum at x = 4/3
The first quartile would be 48.5
Just took quiz. Correct answer is B
Answer:
the positive slope of the asymptote = 5
Step-by-step explanation:
Given that:

Using the standard form of the equation:

where:
(h,k) are the center of the hyperbola.
and the y term is in front of the x term indicating that the hyperbola opens up and down.
a = distance that indicates how far above and below of the center the vertices of the hyperbola are.
For the above standard equation; the equation for the asymptote is:

where;
is the slope
From above;
(h,k) = 11, 100
= 100
a = 
a = 10

b = 
b = 2


y = 5x-53 , -5x -57
Since we are to find the positive slope of the asymptote: we have
to be the slope in the equation 
= 
= 5
Thus, the positive slope of the asymptote = 5
If the length of a uniform pipe is 45 pounds, then the 18 pound piece is 18/45 the length of the pipe. If 18/45 of the length of the pipe is equal to 3 feet, then we can set up the equation:
(18/45)x = 3ft
Where x is the total length of the pipe. Solving for x:
<span>(18/45)x = 3ft
</span>18x = 135
x = 7.5 feet
We now know that the total length of the pipe before being cut is 7.5 feet. Since the first piece was 3 feet, we know that the second piece must be 4.5 feet (7.5 - 3).
Answer: 4.5 feet