Answer:
The graphs are posted.
Step-by-step explanation:
the method to solve such inequalities is assume the line and then draw the line then search for the inequality
The y < 0.5x-3
First plot the line y=0.5x-3
Now all the values of y which are below the line satisfies the inequality.
similarly for the second question x+y ≥ 5.
Now assume the line x+y=5
All the values of (x , y) above the line satisfies the equation including the points on the line .
Answer:
The values of x for which the model is 0 ≤ x ≤ 3
Step-by-step explanation:
The given function for the volume of the shipping box is given as follows;
V = 2·x³ - 19·x² + 39·x
The function will make sense when V ≥ 0, which is given as follows
When V = 0, x = 0
Which gives;
0 = 2·x³ - 19·x² + 39·x
0 = 2·x² - 19·x + 39
0 = x² - 9.5·x + 19.5
From an hint obtained by plotting the function, we have;
0 = (x - 3)·(x - 6.5)
We check for the local maximum as follows;
dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0
6·x² - 38·x + 39 = 0
x² - 19/3·x + 6.5 = 0
x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2
∴ x = 1.288, or 5.045
At x = 1.288, we have;
V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99
V ≈ 22.99 in.³
When x = 5.045, we have;
V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023
Therefore;
V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5
The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.
Answer:
15 is the answer , the total people who has dogs , cats , parakeets and none is equals to <u>185</u> then from 200 you minus 185 which is 15 so 15 people had parakeets only
Answer:
Domain: [1, infinity)
Range: All real numbers or (- infinity, + infinity)
Step-by-step explanation:
Hope this helps
Answer:
12x² - x - 20 = (4x+5)(3x−4)
