I believe the answer is A because the formula for area is length times width.
This is an incomplete question, the image is shown below.
Answer : The correct option is, (a) 19°
Step-by-step explanation:
Opposite angles : These are the angles in which a pair of parallel lines are cut by tranversal then the two angles share the same corner.
Opposite angles are also congruent angles, that means they are equal.
As we know that the opposite angles are equal.
And, (3x - 8)° & (2x + 1)° are alternate interior angles.
Thus, the expression will be:
(3x - 8) = (2x + 1)
3x - 8 = 2x + 1
3x - 2x = 8 + 1
x = 9
(3x - 8)° & (2x + 1)°
(3(9) - 8)° & (2(9) + 1)°
19° & 19°
Therefore, the measures of the marked angles is, 19°
Answer:
C. Both ends increase
Step-by-step explanation:
The end behavior of a function can be evaluated using limits by letting the independent variable x approach positive or negative infinity. An alternative to this approach is the graphical method. We graph the function, then study it's characteristics and then determine its end behavior.
We can graph the given function using graphing utilities, Desmos graphing being the most common and preferred graphing tool for its ease of use. The graph of the function as obtained from desmos graphing tool is shown in the attachment below.
From the graph, the function increases in the interval [0.4, ∞) since the y values keep getting bigger. Nevertheless, the function is also increasing on the interval (0.2, 0.4]. The value of y when x = 0.2 is a point of discontinuity.
Answer:
C(x) = 0.2x^5 - x^2 + 6000
Step-by-step explanation:
Given in the question are restated as follows:
Marginal cos = C'(x) = x^4 - 2x ...................... (1)
Note that marginal cost (C'(x)) refers to the change in the total cost (C(x)) as a result of one more unit increase in the quantity produced. That is, MC refers to the additional cost incurred in order to produce one more unit of a good.
Therefore, TC can be obtained by integrating equation (1) as follows:
C(x) = ∫C'(x) = ∫[x^4 - 2x]dx
C(x) = 1/5x^5 - 2/2x^2 + F ................................ (2)
Where F is the fixed cost. Since the fixed cost is given as $6,000 in the question, we substitute it for F into equation (2) and solve as follows:
C(x) = 0.2x^5 - x^2 + 6000 ......................... (3)
Equation (3) is the total cost function C.