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monitta
2 years ago
12

a graph represents a relation that is also a function if only and if every ___ intersects the graph ___ once

Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

A graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

Step-by-step explanation:

The vertical line test should be used to get an idea about the nature of a graph whether it represents a function or not. A vertical line must not intersect the graph multiple times as it would violate the definition of a function.

If a vertical line intersects the graph multiple times, it means the graph is having the same repeated inputs, which is against the definition of a function. A function can not have repeated input values.

Thus, we conclude that a graph represents a relation that is also a function if only and if every vertical line intersects the graph at most once.

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Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the cost fu
Elina [12.6K]

A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

Read more about Cost Functions at; brainly.com/question/14038368

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7 0
1 year ago
The length of a rectangle is 5 more than twice the width. Which equation could represent the area of the rectangle in terms of t
liq [111]

Answer:

l=5+2w

Step-by-step explanation:

Since the length is twice the width plus 5, the equation would look like :

l=5+2w

5 0
2 years ago
Read 2 more answers
Give an example of this when adding two rationalnumbers with different signs and provide the product.
kolezko [41]

ANSWER:

\begin{gathered} \frac{4}{5}+-\frac{8}{3}=-\frac{28}{15} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{32}{15} \end{gathered}

STEP-BY-STEP EXPLANATION:

Rational numbers are all numbers that can be expressed as a fraction, that is, as the quotient of two whole numbers.

Therefore, an example would be:

\begin{gathered} \frac{4}{5}\text{ and - }\frac{8}{3} \\ \text{adding} \\ \frac{4}{5}+-\frac{8}{3}=\frac{4}{5}-\frac{8}{3} \\ \frac{4}{5}-\frac{8}{3}=\frac{4\cdot3-5\cdot8}{5\cdot3}=\frac{12-40}{15}=-\frac{28}{15} \\ \text{ product} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{4\cdot8}{5\cdot3}=-\frac{32}{15} \end{gathered}

5 0
1 year ago
NEED HELP ASAP WILL GIVE BRAINLIEST
saveliy_v [14]

Answer: x=-2 and y=-2

Step-by-step-explaination:

To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get

2(2x) +2(y) = 2(-6)

4x + 2y = -12

Next, subtract the second equation from the first to cancel out the y’s

4x + 2y =-12

-(-8x + 2y = -12)

————————

12x = -24

Solve

X = -24/12

X=-2

Plug x into the original equation to find y

2(-2) + y = -6

-4 + y = -6

Y = -6 +4

Y=-2

You can substitute x and y into the original equations to double check

3 0
3 years ago
How are piecewise functions and infinite limits alike? How are they different?
Shtirlitz [24]

Answer: i got 100% on the journal activity on EDGE with this “ The difference of piecewise functions and infinite limits is the graphs, with piecewise functions you're graphing several equations... when looking at a graph with an infinite limit there is a difference. A similarity they do have is their end points.” I haven’t been paying attention at all so this I made this up and some how it works(?!)

Step-by-step explanation: I’m not sure if it’s even correct but it worked as a response!

3 0
3 years ago
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