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harina [27]
3 years ago
6

F (x) = (x - 6)2(x + 2)2

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

Step-by-step explanaf(x) = (x^{2} - 6x + 36) . (x^{2} + 2x + 4)\\f (x) = (x^{4} + 2x^{3}  + 4x^{2} - 6x^{3} - 12x^{2} - 24x + 36x^{2} + 72x + 144)\\f(x) = (x^{4} - 4x^{3} + 28x^{2} + 48x + 144)

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Los Angeles Airport bears 140 degrees from San Francisco Airport and is 540 km away. A pilot is planning a direct flight from Sa
Roman55 [17]
Create a triangle starting with the length of 540 coming out of SF to LA bearing 140.
This looks like it leaves SF in IV quadrant and enters LA in II quadrant. The wind will take the plane more to the east (right).  Therefore the pilot must aim to the west (left) in order for the wind to push it to the intended destination of LA. The second side of the triangle should come out of LA from the II quadrant bearing 290.  The length of this side is 60t (60 km/h * t = time flying).  The third side of the triangle connects the first two.  There for it comes out of SF at some unknown angle > 140 and connects with the 60t side.  The length of this third leg is 640t. (640 km/h * t = time flying).  The angle between the 540 side and the 60t side is 30.  This is found because the 540 side enters LA in 2nd quadrant as 130 angle .  The 60t side enters LA in 2nd quadrant as 160 angle.  Using law of sin's: sin 30/640t = sin x/60t.  The t's cancel and you are left with sin x = 3/64.  When solving for the angle x you get x = 2.6867 degrees.  Adding this to the bearing of 140, the compass bearing should be 142.6867 or 142.7 degrees.  To find the value of t, you use the law of sin's to get sin 30/640t = (sin (180 - 30 - 2.6867))/540.  Solving for t gives you: t = .7811.  This is in hours.  To convert to minutes multiply by 60 to get t = 46.87 minutes.  Add this to the 2pm departure time to get 2:47 pm arrival time.
8 0
3 years ago
The graph of f(x) is shown. Estimate f(-3).<br> f(-3) = 1
Effectus [21]

Answer:

There is no graph.

But 1 would be a good estimate if f(-3)=1

Step-by-step explanation:

5 0
3 years ago
Which ordered pair is in Quadrant III?
Scilla [17]
(-2,-3) 
I. (+,+)
II. (-,+)
III. (-,-)
IIII. (+,-)
4 0
3 years ago
Help please I’m a little confused
Anestetic [448]

Answer:

answer is a . x²-8x+16=32

x²-8x=32-16

3 0
2 years ago
Help it’s slope idk how to do it
Over [174]

a. \boxed{y-602=\frac{2}{3}(x-3)}

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

<h3>PART A.</h3>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line

Finding (m):

Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\  P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}

Finally, the equation of the line is:

(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}

<h3>PART B.</h3>

In this case, we have that:

  • The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
  • The y-axis represents the <em>Height  of the Tree </em>in inches.

Since the slope o a line is:

Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

<h3>PART C.</h3>

The y-intercept can be found setting x=0. So, from our equation:

y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600

So the y-intercept is y=600 and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0
3 years ago
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