Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x + k)(x − k)(3x + 2) k= ____________ Numerical Answers Expected! Answer for Blank 1:
Answers
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0.
Once you have an x value which makes y=0, you can start factorizing it.
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0
to get 6x2+10x+4
This can be used to write the polynomial as (x-1)(6x2 +10x+4)
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2)
you can factorize this to become 2(3x+2)(x+1)
Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).
From this you can deduce that k= 1
Answer:k=1 i really hope this helps tehe
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Answers
(12,-14) (2,4) we divide those two points by two
C(a,b)- center
C(a,b)=((12+2)/2),(-14+4)/2)=(7,-5)
Radius is the distance from the center to any point on the circle:
we take point (2,4)
r=
24x + 4y = 384, where x = number of minutes spent
producing fruit cans, and y = number of minutes
producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, how
many minutes would the fruit assembly line need to run to
complete the order of 384 cans? Explain
Answers
Answer:
8 minutes.
Step-by-step explanation:
24x + 64y = 384, that represents the canned goods order .
where x = number of minutes spent producing fruit cans,
and y = number of minutes producing vegetable cans.
If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get
Therefore, the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.
Answer:
Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.
Step-by-step explanation:
-2x+3y=29
How do you solve this problem?
Answers
x= 11-2 . 9/7 x= -1
Y=9 X=-1
Answers
Answer:
Approximately 81.159
Step-by-step explanation:
First, set up the equation
56 = (0.69)(x)
^ is 69% of a number
Divide each side by 0.69 to simplify
56 / 0.69 = x
x ≈ 81.159420...
Answers
The equation of the line passing through the given point and having the given slope is x = 3.
What is "Undefined" slope?
"Undefined" slope refers to the line on the graph is vertical, and that
tells the whole story right there.
The x-coordinate is the same for every point on the line. If E(3, 5) is a point on the line, then
we know that the x-value of every point on it is 3.
It's a vertical line that intersects the x-axis at 3, and the equation
of the line is x = 3.
Learn more about slope here:
#SPJ2
The answer is x=3! Hope this helps!
Answers
Remember: homo- meaning same
hetero- meaning different