Answer: Slope is m = 2/3
Step-by-step explanation:
-You have exactly four points on a table:

-Use the slope formula and use any two points from those four points in order to find the slope:

-The two points I use are
and
for the equation:


So, the slope of the table is
.
Answer:
Step-by-step explanation:
You need to specify what the goal of the problem is.
If Kai picked 7 times as many blueberries as Nico, then:
n + 7n + 297, or
8n = 297. Unfortunately, 8 does not divide evenly into 297, and we certainly are not interested in picking fractional blueberries.
If the problem mentioned 296 instead of 297 total blueberries, then
Nico (n) picked 47 blueberries and Kai picked 7 times that many, or 329.
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:
How could i answer without her pay rate ?
Step-by-step explanation:
Answer:
−2x4+6x3−8x2
Explanation:
You weren't really asking for an explanation, if so let me know!