Answer:
y > 4x - 2
Step-by-step explanation:
The basic format of a line in slope-intercept form is,
This format undergoes no change when one implements it for the use of a two-variable inequality.
The parameter (m) represents the slope of a line, this can be found by using the formula (
). Traditionally, one would use a formula to find the slope of a line that is the following, (
). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).
The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).
Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.
Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.
Answer:
25/36
Step-by-step explanation:
P(1) = 1/6
P'(1) = 5/6
5/6 * 5/6 = 25/36
Answer:
Height and base are both 12 in
Step-by-step explanation:
Formula area triangle: area = (height * base) /2
Since for the first triangle height and base are the same we will call is x.
The area for the first triangle is
area = (x^2) /2 = 0.5x^2
The new triangle area is
first triangle - 36 = ((x/2) * x)/2
0,5x^2 - 36 = (0,5x * x)/2
0,5x^2 - 36 = (0,5x^2)/2
0,5x^2 - 36 = 0,25x^2
0,25x^2 = 36
x^2 = 144
X = square root (144) = 12 in
The cost function is a quadratic. The basic form of a quadratic equation is ax^2 + bx + c = 0. You must find the values of the coefficients a, b and c.
Use the given data to construct 3 simultaneous linear equations in x:
5 = a(2)^2 + b(2) + c
143 = a(4)^2 + b(4) + c
869 = a(10)^2 + b(10) + c
You must solve for a, b and c and then write the quadratic equation
y = ax^2 + bx + c that governs the production costs. Then let x=7 and calculate y, which is the figure you want.
Using matrices, I found that a=6.5, b=30 and c=-81.
Can you now write the quadratic equation and evaluate it at x = 7?
