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3 years ago

Which graph represents the piece wise- defined function f(x) =

Mathematics

2 answers:

Vanyuwa [196]3 years ago

7 0

Answer:

<h2>The fourth graph, from left to right, is the correct answer.</h2>

Step-by-step explanation:

The given piecewise function is

$f(x)=\left \{ {{-x+4 \ ; \ 0\leq x$

Notice that the domain of the function specifies that, from zero to three, the function represents a decreasing (because the variable is negative) straight line. When the function is defined from 3 to infinite, the function is a constant of 5.

So, the right graph must shows first a decreasing line, where the initial point is solid and the final point is empty, as the fourth fraph (from left to right), then it must show a horizontal line with an initial point solid.

Therefore, the fourth graph, from left to right, is the correct answer.

GenaCL600 [577]3 years ago

6 0

Answer:

right-most fourth graph

Step-by-step explanation:

Given:

f(x)= -x+4 for 0≤x<3

i.e. from x=0 till x=3 the graph is linear line

then

f(x) = 5 for x≥3

i.e. at x=3 and onward graph is a straight line with y-axis point of 5 !

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vesna_86 [32]

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8 0

1 year ago

How do you graph the equation f(x)=10x+40??

irga5000 [103]

Ok so linear equations come in the form
y = mx + b

B is the y-intercept. In this equation the y intercept is 40. A y- intercept is where the graph crosses the y axis so at the point (0,40) the graph crosses the y axis.

M is the slope which is rise over run so if the slope was 10 (which it is) 10 is equivalent to 10/1 so you move up 10 units for every 1 unit you move across.

So to graph this equation, you would draw your first point at (0,40). For your next point, you would move right one unit, and up 10 units. Draw a point there which would be (1, 50). Hopefully you understand. For going left from the y intercept point, you would move left 1 and down 10.

Actual graph above.

Hope this helps C:

8 0

3 years ago

X=? Find x And explain plz

dimulka [17.4K]

<h2>Answer: (x = 1)</h2>

Step-by-step explanation:

We are given the equation 6(5x - 3) = 1/3(24x + 12), and we must find the value of x.

The first step is to distribute. Distribute the 6 to 5x and -3, and distribute 1/3 to 24x and 12. This give us the equation 30x - 18 = 8x + 4 to work with.

The next step is to get x by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the -18 and get's x by itself on one side of the equation and gives us the equation 30x = 8x +22.

Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation 22x = 22.

Divide both sides by 22 and get the equation x = 1

$6(5x - 3) = \frac{1}{3} (24x + 12)$