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Vlad [161]
3 years ago
11

What is the root of the polynomial equation x(x-2)(x+3)=18? Use a graphing calculator and a system of equations.

Mathematics
2 answers:
andre [41]3 years ago
4 0

Answer:

Step-by-step explanation:

notka56 [123]3 years ago
3 0

Answer:

The root of the polynomial equation x(x-2)(x+3)=18 is x=3

Step-by-step explanation:

x(x-2)(x+3)=18

Dividing both sides of the equation by x:

x(x-2)(x+3)/x=18/x

(x-2)(x+3)=18/x

We can use this system of equations:

(1) y=(x-2)(x+3)

(2) y=18/x

And using a graphing calculator we get:

x=3, y=6 → Point=(x,y)=(3,6)

Answer: The root of the polynomial equation x(x-2)(x+3)=18 is x=3

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There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow
Ivanshal [37]
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

\frac{8yellow}{20total} = \frac{Xyellow}{100total}

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!
6 0
3 years ago
2x + 3y =10<br>x + y = 3 please do workings asap
kompoz [17]
This is system of Equations. 
<span>2x + 3y =10
x + y = 3 
</span>
x + y = 3 (multiply this by three) to get 3x + 3y = 9
2x + 3y =10
3x + 3y = 9 Subtract them

-1x = 1 
x=-1 
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I hope this helps! If not, let me know! Have a fantastical day!
5 0
3 years ago
Read 2 more answers
the angle of elevation of the top of a building from a point 80 ft away from the building on level ground is 70° determine the b
MA_775_DIABLO [31]
Draw a triangle with shortest side on the ground (horiz.).  The length of this side is 80 feet.  Two angles touch the ground:  a right angle, and the 70 degree angle.
 
Then the height of the building is the 2nd shortest side.

The tangent function is the appropriate one to use here:
                       opp          h
tan 70 deg = -------- = ----------
                        adj        80 ft
                                                                h
Since tan 70 deg  = 2.75,          2.75 = -------
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so h = building height = (80 ft)(2.75) = 219.8 ft
6 0
3 years ago
25 7/5 tons = ib ......
Fittoniya [83]

Answer:

c. 51,400

Step-by-step explanation:

25 x 2,000=50,000

2,000 x .7= 1,400

50,000+1,400=51,400

5 0
3 years ago
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Kay [80]

Answer: -8,6

Step-by-step explanation:

3 0
2 years ago
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