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4 years ago

Which statement is true about the graphed function

Mathematics

2 answers:

natka813 [3]4 years ago

8 0

From -∞ to -4 the blue line is above the X axis which means it is >0

The blue line is negative between -4 and -3

This would make the correct answer: F(x) > 0 over the interval (-∞,-4)

nikitadnepr [17]4 years ago

4 0

Answer:

The correct option is 4.

Step-by-step explanation:

From the given graph it is clear that the function intersect the x-axis at x=-4.

The graph of function F(x) lie above the axis before x=-4 and the graph of function F(x) lie below the axis after x=-4.

It means the value of F(x) is greater than 0, before x=-4 and the value of F(x) is less than 0 after x=-4. So, we conclude that

1. F(x)>0 over the interval (-∞,-4).

2. F(x)<0 over the interval (-4,∞).

Since the statement "F(x)>0 over the interval (-∞,-4)" is true about the graphed function, therefore the correct option is 4.

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Komok [63]

<h2>Steps:</h2>

So for this, we will be doing a system of equations. Using the info from our question, our two equations are:

(let x = greater number and y = lesser number)

$x=4y-1\\3y=x-4$

Now, for this I will be using the substitution method. Since we know that x = 4y - 1, substitute that into the second equation:

$3y=4y-1-4$

From here we can solve for y. Firstly, combine like terms:

$3y=4y-5$

Next, subtract 4y on both sides of the equation:

$-y=-5$

Next, multiply both sides by -1:

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Now that we know the value of y, substitute it into either equation to solve for x:

$x=4(5)-1\\x=20-1\\x=19\\\\3(5)=x-4\\15=x-4\\19=x$

<h2>Answer:</h2>

In short, <u>5 is the lesser number and 19 is the greater number.</u>

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Answer:

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Answer:

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