Answer:
Option D (7).
Step-by-step explanation:
The formula for gradient of the straight line is given by:
m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:
-5/3 = (2 - r)/(r - 4).
Cross Multiplying:
-5*(r - 4) = 3*(2 - r).
-5r + 20 = 6 - 3r.
-2r = -14.
r = 7.
Therefore, Option D is the correct answer!!!
Answer:
C. 41
Step-by-step explanation:
180 - 81 = 99
99+40 = 139
180 -139 = 41
<h3><u>(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.</u></h3>
This polynomial can be factored using difference of squares.
This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)
Because 1 * 1 = 1, we can use this formula to simplify this polynomial.
1 - 25y^2 = (1 + 5y)(1 - 5y)
We can use FOIL to verify this.
(1 + 5y)(1 - 5y)
1 - 5y + 5y - 25y^2
1 - 25y^2
Answer:When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.
Step-by-step explanation:
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.
