Answer:
D.The function is decreasing for all real values of x where x < 1.5
Step-by-step explanation:
The vertex is at x=1.5, so the function is decreasing on one side of that and increasing on the other. Any answer choice with some number other than 1.5 as the boundary of increasing/decreasing can be ignored.
Of course one descriptor (<em>increasing</em> or <em>decreasing</em>) is not applicable for any interval that includes the point where the slope changes sign.
The function is decreasing for all real values of x where x < 1.5.
Y=x^2-5, solve for x
y+5=x^2
x=√(y+5) so
f^-1(x)=√(y+5)
We are to solve for the price per unit. Let "x" be the price per unit.
The given values are the following:
Variable Cost = 1250,000 *x
Fixed Cost = $780,000
Net Profit = $650,000
Variable cost per unit = $19.85
The solution is shown below:
$650,000 = 1,250,000*x - $780,000 - $1,250,000*$19.85
x = $26, 242, 500 / 1,250,000 units
x = $20.994
The price per unit is $20.99 and the answer is letter "D".
Answer:
<h2>A plane consists of an infinite set of lines.</h2><h2>A line has one dimension, length.
</h2>
Step-by-step explanation:
The choices are
- A point in the form (x, y) has two dimensions.
- A plane has a definite beginning and end.
- A line has one dimension, length.
- A point consists of an infinite set of lines.
- A plane consists of an infinite set of lines.
In Ecludian geometry, undefined term are the plane, point and line. Becasue these terms are too intuitive, we don't need to demonstrate them, they just exits, they are too primitive to be defined, that's why they are undefined term.
However, there are some characteristics about each term, for example, a line and a plane are infinite, the plane is formed by infinite of lines and the line is formed by infinite set of points. Additionally, a line has one dimension only, because it's formed by infinte set of points, which doesn't have a dimensions as a singular term, but all together form a length.
Therefore, the right answers are C and E.
<span>(-2, y1), (6, 7) Slope = 1/2
slope = (y2-y1)/(x2-x1)
1/2 = (7 - y1) / (6 - -2)
1/2 = (7-y1) / 8
7-y1 = 8/2
7-y1 = 4
y1 = 7 - 4
y1 = 3
Answer: </span><span>(-2, 3), (6, 7) with Slope = 1/2
</span>proof:
slope = (y2-y1)/(x2-x1)
slope = (7 - 3) / (6 - -2)
slope = 4/8
slope = 1/2
