What are the coordinates of the turning point for the function f(x) = (x − 2)3 + 1?

Mathematics

2 answers:

slamgirl [31]3 years ago

3 0

I believe that it would be D. (2, 1).

If this is wrong please let me know.

kodGreya [7K]3 years ago

3 0

D Is the answer I come up with

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Maranda earns $42 in three hours Jabrill earn $78 in six hours which worker earns more per hour

RoseWind [281]

Answer:

jabrill

Step-by-step explanation:

42 dived by 3 = 14

78 dived by 4=13

6 0

3 years ago

Which graph represents an exponential function?

geniusboy [140]

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

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2 years ago

(1) Define the decision variables (2) Define the objective function in mathematical form: (3) Write the technical constraint fun

alukav5142 [94]

Answer:

Explained and written below.

Step-by-step explanation:

(1) Define the decision variables.

Ans:- A decision variable is a quantity that the decision-maker controls. For Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.

(2) Define the objective function in mathematical form.

Ans:-The objective function is a means to maximize (or minimize) Data. This data is a numeric value: in the real world it could be the cost of a project, a production quantity, profit value, or even materials saved from a streamlined process. With the objective function, you are trying to arrive at a target for output, profit, resource use, etc.

(3) Write the technical constraint functions.

Ans:-A technical constraint Could be anything that limits the deployment of electricity Generation by Heat.There are some technical constraints are specific for device and but not all. It could be anything that programmed to run the devices.

(4) Write the non-negativity constraint.

Ans:- $x\geq 0$ & $y\geq 0$ are the non-negative constraint of linear inequality. These are included because x and y are usually the variables which cannot be negative. It could be zero but not less than 0. Example:- x and y can be number of production done by machine in a month and it can't be negative.