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liberstina [14]
3 years ago
13

What are the roots of the polynomial equation x3 - 6x= 3x2 - 8? Use a graphing calculator and a system of equations

Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step explanation:

We are asked to find the roots of the polynomial equation:

We can also equate this equation to y to obtain a system of equation as:

and

Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4

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1. 2. 3. 4. pls answer
Katyanochek1 [597]

Answer:

First clear your question please.

Step-by-step explanation:

4 0
2 years ago
Hook wants to set aside $2000 this year for a vacation. She plans on saving $48 dollars each week. There are 52 weeks in a year.
Doss [256]
I think it is reasonable. She will have extra cash (almost $500) but that isn't a bad thing when you are going on a vacation. 

If you need to know how to do it, what I did was take the $48 and the 52 weeks and multiply them together to get $2,496.... But if you think in your own opinion it's not reasonable than say she could trim down her savings and only try to earn about 40 dollars each week; you get to the closer amount of $2,000 with $2,080...

I hope this helps. Choose for yourself though! <3 Good luck! (: 

3 0
3 years ago
Asanji left the science museum and drove toward the lake at an average speed of 45 km/h. Sometime later Huong left driving in th
Cloud [144]

Answer:

Asanji drove for 5 hours before Huong caught up

Step-by-step explanation:

Let the time for which Asanji drove alone is "X" hours

Asanji and Huong met after three hours of driving of Huong.

Total time for which Asanji drove = X+3 hours

Thus, distance travelled by Asanji in X+3 hours is equal to distance travelled by Huong in 3 hours

45 ( X+3) = 75 (3)\\

On solving the above equation, we get -

45 X + (45 *3) = 75 *3\\45 X = (75-45)*3\\45 X = 30 *3 \\X = \frac{30 *3}{45} \\X = 2

Asanji drove for 3 + 2 = 5 hours before Huong caught up

8 0
3 years ago
Substitute 3x+y=4 5x-y=22
Mrac [35]
Simultaneous Equations

3x + y = 4
5x  - y = 22
The signs of the matching values aren't the same so we add the rest of the equations.
8x = 26
Divide both sides by 8 to get x = 3.25
Now substitute back into the first equation.
(3 x 3.25) + y = 4
9.75 + y = 4
Subtract 9.75 from both sides
y = -5.75
4 0
3 years ago
Your school is installing new turf on the football field. A coordinate plane has been superimposed on a diagram of the football
Aneli [31]

Answer:

Step-by-step explanation:

1) length of the field = 18 unit= 18*20=360 ft

2) circumference = 2(l+w)

2*(18*20+8*20)=1040

3) Area of the field = 18*8 units = 18*20*8*20ft^2 = 57600ft^2

Cost for the entire area= 57600*2.69= 170,000$

No it doesn't

3 0
3 years ago
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