100 POINTS!! How many relative extrema does the does the graph of the quartic function y = x^4– 3x^3 + x^2 + 2x

Can someone please help!!

anastassius [24]

X=f
x×1+1-2+3=3234557901028292

8 0

2 years ago

SOLVING ABSOLUTE VALUE EQUATION

Ratling [72]

Answer:

1. x=27

2. x=11 or x=-7

3. x=4

4. x=1 or $x=\frac{1}{3}$

5. x=12

6. x=11 or x=-1

7. x=8

8. x=3 or x=1

9. $x=\frac{13}{2}$ or x=-4

10.x=7 or x=1

Step-by-step explanation:

For the first 8, the absolute value portion is just substituted in for x, so we can skip some of the repeated work that would occur in these. For the absolute value problems, there are two solutions each. When you remove an absolute value, you have to add a plus or minus to each side and solve for each.

1. $5x+9=144\\5x=135\\x=27$

2. $|3x-6|=27\\3x-6=27\\3x=33\\x=11\\\\3x-6=-27\\3x=-27\\x= -7$

3. $\frac{x}{7-3} =1\\\frac{x}{4} =1\\x=4$

4. $|12x-8|=4\\12x-8=4\\12x=12\\x=1\\\\12x-8=-4\\12x=4\\x=\frac{4}{12} \\\\x=\frac{1}{3}$

5. $\frac{2}{3}x-11=-3\\\frac{2}{3}x=8\\x=\frac{24}{2}\\ x=12$

6. $|2x-10|=12\\2x-10=12\\2x=22\\x=11\\\\2x-10=-12\\2x=-2\\x=-1$

7. $\frac{4x-5}{3} =9\\4x-5=27\\4x=32\\x=8$

8. $|8x-16|=8\\8x-16=8\\8x=24\\x=3\\\\8x-16=-8\\8x=8\\x=1$

9. $|4x-5| +15=36\\|4x-5|=21\\4x-5=21\\4x=26\\x=\frac{26}{4} \\x=\frac{13}{2} \\\\4x-5=-21\\4x=-16\\x=-4$

10. $6|3x-12|-5=49\\6|3x-12|=54\\|3x-12|=9\\3x-12=9\\3x=21\\x=7\\\\3x-12=-9\\3x=3\\x=1$

7 0

2 years ago

-6x+5y+2z=-11 -2x+y+4z=-9 4x-5y+5z=-4

AlladinOne [14]

Answer:

$[4, 3, -1]$

Explanation:

When solving systems of equations in three variables, pick two equations to work with first, solve for both variables, plug them into one of the equations you first started on, then in the end, put them altogether:

{-6x + 5y + 2z = -11 ←

{-2x + y + 4z = -9 We can eliminate the y-values obviously

{4x - 5y + 5z = -4 ←

{-6x + 5y + 2z = -11

{4x - 5y + 5z = -4

___________________

-2x + 7z = -15

- 7z -7z

______________

-2x = -15 - 7z

___ ________

-2 -2

x = 7½ + 3½z

-2[7½ + 3½z] + y + 4z = -9

-15 - 7z + y + 4z = -9

-15 - 3z + y = -9

+15 + 15

_______________

-3z + y = 6

+3z + 3z

y = 6 + 3z [Plug in -1 for z to give you the y-value of 3; 3 = y; since you now have both z and y terms, plug in these terms back into all three equations above to get the x-value of 4.]; 4 = x ⤻

-6[7½ + 3½z] + 5[6 + 3z] + 2z = -11

-45 - 21z + 30 + 15z + 2z = -11

-15 - 4z = -11

+15 + 15

_____________

-4z = 4

___ __

-4 -4

z = -1 [Plug this into the equation for y]⤻

I am joyous to assist you anytime.

3 0

2 years ago

Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING

Yakvenalex [24]

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

5 0

2 years ago

Kenyatta started the day with a lot of bracelets, b. Then, she decided to share them all

Dahasolnce [82]

Answer:

each received 1 bracelet

8 0

2 years ago

100 POINTS!! How many relative extrema does the does the graph of the quartic function y = x^4– 3x^3 + x^2 + 2x – 1 have?