Answer: 321.4167 or about 322 boxes
Step-by-step explanation:
Answer: Not a function
<u>Step-by-step explanation:</u>
The graph fails the vertical line test. In other words, when you draw a vertical line anywhere through the curve, the line passes through two points.
Bonus: If you do not have a graph, it is not a function if there is one x-value that has two different y-values.
For example, If (1, 2) and (1, -2) lie on the curve, then it is NOT a function because the x-value (1) has two different y-values (2 & -2).
Ok so first we do 2 + 3 = 5 * 2 = 10 / by 42 = 4.2
other side 36 - 52 = 16 * 4 = 64 now add 4.2 + 64 = 68.2
Answer with Step-by-step explanation:
A continuous function is a function that is defined for all the values in it's domain without any sudden jumps in the values in the domain of the function. All the given situations are analysed below:
1) The temperature at la location as a function of time is continuous function since at any location the temperature is defined for all the time and the temperature cannot suddenly change from say 10 degrees Celsius to 100 degrees Celsius instantly without passing through intermediate values.
2) The temperature at a specific time as a function of the distance due west from New York city is a continuous function as temperature is defined for all the instants of time without any sudden changes as we move between places.
3) The altitude as an function of distance due west from New York is a discontinuous function as there may be sudden changes in the altitude due to changes in topography such as presence of cliff or valley.
4) The cost as a function of function of distance traveled is a discontinuous function since the cost of travel increases integrally in increments of distance and not in a continuous manner.
5) The current in a circuit as function of time is discontinuous function as the current jumps instantly from 0 to a non zero value when we switch on the circuit and same is true when we switch off the circuit it's value decreases instantly to 0.
Answer:
c = - 2, c = 7
Step-by-step explanation:
Given
c² - 14 = 5c ( subtract 5c from both sides )
c² - 5c - 14 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 14) which sum to give the coefficient of the c- term (- 5)
The factors are - 7 and + 2, since
- 7 × 2 = - 14 and - 7 + 2 = - 5, hence
(c - 7)(c + 2) = 0
Equate each factor to zero and solve for c
c - 7 = 0 ⇒ c = 7
c + 2 = 0 ⇒ c = - 2
