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skad [1K]
3 years ago
14

The table shows three unique functions.

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

<h2>All three functions have a y-intercept.</h2>

Step-by-step explanation:

The table is attached, there you can observe functions f(x), g(x) and h(x).

Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).

Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.

Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.

Therefore, the only right answer is the third choice.

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3 years ago
What are the x-intercepts of y=2x^2+6x-20?
NISA [10]

Answer:

the x-intercepts are -5 and 2

Step-by-step explanation:

y=2x^2+6x-20

x-intercept is when y is set equal to zero

So, y = 0

0 = 2x^2+6x-20

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Either,

x+5 = 0    <u><em> OR </em></u>    x-2 = 0

x = -5       <u><em> OR  </em></u>     x = 2

So, the x-intercepts are -5 and 2

7 0
3 years ago
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Using the equation shown below calculate the q value of vertex?<br><br> y= 2x2square +4x -9
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Answer:

The vertex is (-1,-11).

Step-by-step explanation:

I don't know what the q value of this is, but I found the vertex for you.

I hope that this helps!

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How many times can a 40-gallon barrel be filled from 5 casks, each holding 120 gallons?
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Answer:

It can be filled 15 times

Step-by-step explanation:

If 5 casks hold 120 gallons each,

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To find how many times a 40gallon barrel can be filled,

= 600/40

= 15

This means a 40 gallon barrel will be filled 15 times.

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In a system of linear equations in two​ variables, if the graphs of the equations are the​ same, the equations are (blank) equat
makkiz [27]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.

All points of dependent equations share the same slope and same y-intercept.

For example,

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represent the dependent equations.

Writing both equations in slope-intercept form

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now

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Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.

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3 years ago
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