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MrRissso [65]
3 years ago
11

Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
3 0

Answer: roots are 2, -2, -3, and 3

Step-by-step explanation:

I'm presuming the equation is x^4-9x^2-4x+12

so first group the equation by factoring out the GCF of the first two terms and last two terms

x^2(x^2-9)-4(x-3)

x^2(x-3)(x+3)-4(x-3)

(x^2-4)(x-3^2)(x+3)

(x-2)(x+2)(x+3)(x-3)^2

So

Mashcka [7]3 years ago
3 0

Answer:

+/- 2,+/- 4,+/- 3,+/- 6,+/- 12

B C F G H

Step-by-step explanation:

ROOTS OF 12 -- 2, 3, 4, 6

_____________________

ROOTS OF 1 -- 1

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Line j has a slope of − 2. Line d is perpendicular to line j and passes through the point( − 8 , 3 ).  Write the equation for
Zina [86]

Answer:

The equation is: y = 1/2x + 7

Step-by-step explanation:

The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).

Use the point slope form of the equation:

y - y1 = m(x - x1)

Substitute:

y - 3 = 1/2(x - (-8))

y - 3 = 1/2x + 4

y = 1/2x + 4 + 3

y = 1/2x + 7

Proof:

Solve for f(x) when x = -8.

f(x) = 1/2x + 7

f(-8) = 1/2(-8) + 7

= -8/2 + 7

= -4 + 7

= 3, giving the point (-8, 3)

4 0
3 years ago
How many minutes are in the time interval from 1:22 P.M. to 5:44 P.M.​
Nikolay [14]
Turn into military time

1:22 turns into 13:22
5:44 turns into 17:44

Then you subtract 13:22 from 17:44

You will get the answer
5hrs and 22mins

Finally convert hrs into mins and add all the mins together

You’ll get
322 mins

As your answer
4 0
3 years ago
The points(0,2) and (4,-10) lie on the same line and the points (-5,-3) and (2,11) lie on another line. Determine by graphing wh
joja [24]
You are asked to do this problem by graphing, which would be hard to do over the Internet unless you can do your drawing on paper and share the resulting image by uploading it to Brainly.

If this were homework or a test, you'd get full credit only if you follow the directions given.

If <span>The points(0,2) and (4,-10) lie on the same line, their slope is m = (2+10)/(-4), or   m =-3.  Thus, the equation of this line is y-2 = -3x, or y = -3x + 2.

If </span><span>points (-5,-3) and (2,11) lie on another line, the slope of this line is:

m = 14/7 = 2.  Thus, the equation of the line is y-11 = 2(x-2), or y = 11+2x -4, or y = 2x + 7.

Where do the 2 lines intersect?  Set the 2 equations equal to one another and solve for x:

</span>y = -3x + 2 = y = 2x + 7.  Then 5x = 5, and x=1.

Subst. 1 for x in y = 2x + 7, we get y = 2(1) + 7 = 9.

That results in the point of intersection (2,9).

Doing this problem by graphing, on a calculator, produces a different result:  (-1,5), which matches D.

I'd suggest you find and graph both lines yourself to verify this.  If you want, see whether you can find the mistake in my calculations.

3 0
3 years ago
Simplify (x − 4)(x2 + 3x − 1).
Korolek [52]
<span> (x − 4)(x2 + 3x − 1)
=</span><span>x^3  + 3x^2 - x -4x^2 - 12x +4
=</span>x^3  -x^2 - 13x +4

answer is <span>B.x^3-x^2-13x+4</span>
4 0
3 years ago
2x-3y=4 x+3y=29<br> A. ( - 11, 3)<br> B. (11, - 3)<br> C. (3, 11) <br> D. (11, 3)
ValentinkaMS [17]

Answer:

Step-by-step explanation:

2x-3y=4 x+3y=29

Hmmm I got (11,6) and I did it two different ways. Are these the only answers?

3 0
3 years ago
Read 2 more answers
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