Which statement is true about the given function?

Mathematics

1 answer:

Jet001 [13]3 years ago

6 0

Answer:

Option C.

Step-by-step explanation:

If the graph of a function f(x) lies above the x-axis, then f(x) > 0.

If the graph of a function f(x) lies below the x-axis, then f(x) < 0.

From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.

Before x=3 the graph lies below the x-axis. So,

$f(x) < 0$ over the interval $(-\infty,3)$ .

After x=3 the graph lies above the x-axis. So,

$f(x) > 0$ over the interval $(3,\infty)$ .

Therefore, the correct option is C.

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A right triangle has a side with length 12 in and a hypotenuse with length 20 in. find the length of the missing leg. (round to

OLEGan [10]

Let the unknown side be "z" inches
Through pythagoras:
${12}^{2} + {z}^{2} = {20}^{2}$
Because the square of the two sides add up to the square of the hypotenuse in a right triangle.

This means that
${z }^{2} = {20}^{2} - {12}^{2}$
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So the missing side is 16 inches

Hope this helped

6 0

4 years ago

find the ratio which are the points p(X,2) divides the line segment joining the point a(12,5) and b(4,-3) also find X plz give a

chubhunter [2.5K]

Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)

Step-by-step explanation:

Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.

Notice that when y = 2, X = 9 so point p = (9, 2) see graph

The distance from a to p = 3√2

The distance from b to p = 5√2

So the ratio of a:b = 3√2:5√2 = 3:5 when simplified

To find the distance, use the distance formula OR pythagorean theorem.