Answer:
80 divided by 1000 multiplied by 20
Step-by-step explanation:
C(x) = 200 - 7x + 0.345x^2
The domain consists of all feasible x-values (i.e., units produced), including all positive integers and zero, if only whole units are deemed relevant.
The range includes all potential outcomes for c(x), or possible costs.
This can be derived by recognizing that c(x) is a parabolic function, which can be graphed to identify the vertex, roots, y-intercept, and its shape (which opens upward since the coefficient of x^2 is positive). Also, ensure costs remain positive.
You might substitute some values for x for clarity, for example:
x y
0 200
1 200 - 7 + 0.345 = 193.345
2 200 - 14 + 0.345 (4) = 187.38
3 200 - 21 + 0.345(9) = 182.105
4 200 - 28 + 0.345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42
10 200 - 70 + 0.345(100) = 164.5
11 200 - 77 + 0.345(121) = 164.745
The function lacks real roots, indicating costs will never fall to zero.
The function begins at c(x) = 200, declines until the vertex (x = 10, c = 164.5), and then starts to rise.
Thus, the range extends from 164.5 to infinity, limited to positive integer solutions for x.
Answer: The height is 13.1 m.
Step-by-step explanation:
The described motion is uniformly varied rectilinear, specifically vertical projectile motion.
To find the position after 1 second, we will use the motion equation expressed as:
y = v0.t - 1/2 g t^2
Here, y denotes the height at any given time.
v0 represents the initial velocity of 18 m/s.
g symbolizes the acceleration due to gravity at 9.81 m/s².
t indicates the time measured in seconds.
To calculate the height after one second:
y = 18 m/s x 1 sec - 1/2 9.81 m/s² (1 sec)² = 18 m - 4.9 m = 13.1 m
Answer:
Joel achieved a peak height of 6 units.
Step-by-step explanation:
It appears there is an error in the equation representing Joel's jump. I will presume it should be 
, as such movements are typically represented using quadratic equations. To find the maximum height Joel attained, we must determine the vertex of this equation. The vertex for a quadratic can be found using the given expression:
"y" can be calculated by substituting the x-coordinate of the vertex into the equation. In our case, a = -0.2, b = 2, and c = 1. The vertex calculation gives:[
Thus, the maximum height totals:
Joel's highest point was 6 units.
Raymond utilized $65 from a total of $650, thus retaining $585.
650/10=65
650-65=585
alternatively (650/10)-65=585
the / indicates division.
