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3 years ago

For each graph below, state whether it represents a function.

Mathematics

1 answer:

mafiozo [28]3 years ago

6 0

Answer:

graphs 1, 2, 3, and 4, can represent a function

graphs 5 and 6 can not represent a function.

Step-by-step explanation:

If for a given graph of a relationship you can draw a vertical line that intersects the graph in more than one point, then we can conclude that the graph does not represent a function.

Now, if we look at the first four graphs, we can see that no vertical line intersects more than one point, so the first four can represent functions.

The special case here is graph number 2, where we can see a white dot right below a colored dot, and if we draw a vertical line there, the line will touch both points. But, a white dot means that the exact point does not belong to the graph, so if the line passes through there, it will not intersect the graph.

For the last two, this is not the case, in graph 5 and graph 6 we could draw vertical lines that intersect the graphs twice

(any line like x = n, with n < 0, intersects two points in graph 5, while the line x = 0 intersects twice the graph number 6)

So graph 5 and graph 6 can't represent functions.

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What is the area of the square adjacent to the third side of the triangle?

lana66690 [7]

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = $\sqrt{33}$ .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = $\sqrt{44}$ .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

$\sqrt{(44)}^2$ = $x^2$ + $\sqrt{33}^2$ ,

x = $\sqrt{11}$ ... And $\sqrt{11}$ squared is 11, making the area of this square 11 units².

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4 years ago

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Becky is meeting her friend at the library at 12:45 p.m. It takes her 25 minutes to get to the library. What time will she need

inessss [21]

Answer:

Becky must leave at 12:20pm to arrive on time

Step-by-step explanation:

12:45-25=12:20

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3 years ago

Which pair of variables has a clear causal link between the two named variables?

harina [27]

Answer: The number of air conditioners sold per day in a city and the daily temperature

Step-by-step explanation:

We know that if there is a causal relationship between two variables then one variable is responsible for causing the other variable.

the number of hats sold and the number of mittens sold in a city.

there is no causal relationship between the variables since both are independent variables.

the amount of butter and the amount of bread consumed by a family .

there is no causal relationship between the variables since both are independent variables.

the number of notebooks sold and the number of pens sold in a stationery store .

there is no causal relationship between the variables since both are independent variables.

the number of air conditioners sold per day in a city and the daily temperature .

there can be causal relationship between the variables since by increasing or decreasing temperature the the number of air conditioners sold per day in a city can be increased or decreased respectively.

the number of hours a person can swim and the depth of the pool.

there is no causal relationship between the variables since both are independent variables.

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4 years ago

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jasenka [17]

Answer:

I believe the answer to this question is (4,1)

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3 years ago

Which is a possible number of real roots for a cubic function? Select all that apply.

poizon [28]

A cubic equation has degree 3. That means that the highest exponent of x (or whatever variable is being used) is 3. This means the function can have 0, 1, 2 or 3 roots.

Whatever the highest exponent of the variable is tells us the highest number of roots it can have. It can have that many or fewer but no less than 0.

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3 years ago

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For each graph below, state whether it represents a function.​

For each graph below, state whether it represents a function.