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drek231 [11]
2 years ago
14

When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain t

he reasons why a graph would, or would not, represent a function?
Mathematics
2 answers:
Andreyy892 years ago
7 0

Answer:

The vertical line test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function.

Step-by-step explanation:

 That is the sample answer :)

just olya [345]2 years ago
5 0

Answer:

When given a graph, the vertical line test can be used to determine functionality. The vertical line test would represent a function if no more than one point of the graph of a relation, this shows that only one output value for each input value. If this doesn't apply or more than one point is on the line then it would not represent a function.

Step-by-step explanation:

Draw vertical lines to intersect on a graph.

The relation is a function if there’s only one point of intersection on a graph.

The relation is not a function if there’s more than one point of intersection on a graph.

The vertical line test is used to determine if each input has exactly one output.

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replace each star with a digit to make the problem true.Is there only one answer to each problem? ****-***=2
Semenov [28]

Answer: We have two solutions:

1000 - 998 = 2

1001 - 999 = 2

Step-by-step explanation:

So we have the problem:

****-*** = 2

where each star is a different digit, so in this case, we have a 4 digit number minus a 3 digit number, and the difference is 2.

we know that if we have a number like 99*, we can add a number between 1 and 9 and we will have a 4-digit as a result:

So we could write this as:

1000 - 998 = 2

now, if we add one to each number, the difference will be the same, and the number of digits in each number will remain equal:

1000 - 998 + 1 - 1 = 2

(1000 + 1) - (998 + 1) = 2

1001 - 999 = 2

now, there is a trivial case where we can find other solutions where the digits can be zero, like:

0004 - 0002 = 2

But this is trivial, so we can ignore this case.

Then we have two different solutions.

7 0
2 years ago
Which figure has a greater volume, and how much greater is it? 2 figures. One figure has a rectangular prism with length of 36 f
denpristay [2]

Answer:

The volume of figure 1 is 11340 ft^3 greater than figure 2

Step-by-step explanation:

For rectangular prism, volume is

V = lenght x width x height

V = 36 x 21 x 18 = 13608 ft^3

For rectangular pyramid, volume is

V = (lenght x width x height) ÷ 3

V = (36 x 21 x 9) ÷3 = 6804/3 =2268 ft^3

Difference in volume = 11340 ft^3

8 0
2 years ago
Read 2 more answers
The expression 10a+6c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
katrin [286]

Answer:

Answer: The total cost is  assuming the cost for 1 adult is  and the cost for 1 child is

Step-by-step explanation:

5 0
2 years ago
A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $
Ahat [919]

Answer: Take the bus to save money

Step-by-step explanation:

you plug x for 15, the inequality would be ($0.50 * 15) + $3 <  $10. We need a less than sign (<) because Carl says the price has to be under and not equal to.

$7.5 + $3 < $10. After you do simple math and add, you will know that Carl is short of money by 50 cents.

Hope this helps :)

6 0
2 years ago
Read 2 more answers
A cell phone company charges a $10 flat fee plus $0.05 per minute for minutes up to 600. For minutes over 600, the company
mash [69]

Answer:

In both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when minutes talked m   < 600)

T   =  40   +   0.15 k           (when minutes talked  k   > 600)

Step-by-step explanation:

Here, the flat fee by the phone company = $10

The charge for each minute for  first 600 minutes = $0.05

The per minute cost after 600 minutes  = $0.15

Let us assume the number of minutes talked = m

<u>Case 1:</u><u> when the minutes talked is less than 600 minutes.</u>

Total Charges = Flat Fee  +  0.05 x ( the minutes talked)

or, T   = $10 + m ($0.05)

or T  = 10 + 0.05 m     (when m  < 600)

<u>Case 2:</u><u> when the minutes talked is more than 600 minutes.</u>

Let us assume the minutes talked over 600 = k minutes

Total Charges = Flat Fee  + Charges for 600 minutes  +  0.15 x ( the minutes talked over 600)

or, T   = $10 + 600 ($0.05)  + k($0.15)

or T   =  10 + $30     +   0.15 k            (when k   > 600)

⇒  T   =  40   +   0.15 k            (when k   > 600)

Hence, in both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when m  < 600)

T   =    T   =  40   +   0.15 k            (when k   > 600)

7 0
2 years ago
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