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frozen [14]
3 years ago
15

Factor 2x^3+4x^2-6x+9

Mathematics
2 answers:
Vinil7 [7]3 years ago
7 0
Try factoring out a 2x from the first 3 terms in the question, like so:

2x( x^{2} +2x-3)+9

Now, you can factor the middle quadratic equation and you will have 3 factors plus the constant in the end (the +9). Hope this helps!
Greeley [361]3 years ago
5 0

Answer:factoring out a 2x it was from first 3 terms

Step-by-step explanation:

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Ariel bought a 6-cup bag of dough for $6.34. She used 1.45 cups to make rolls and 3.45 cups to make bread. How much dough is lef
OverLord2011 [107]

Answer:

1.1 cups. Hope this helps.

Step-by-step explanation:

7 0
3 years ago
Find the average rate of change of the function over the given interval.
Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 ,  [ 5,5.1 ]

solution

\frac{f(5.1)-f(5)}{5.1 - 5} = \frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}   = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint :   f' (5) = 4t = 20

Rate of change at the right  endpoint : f' (5.1) = 4*5.1 = 20.4

6 0
3 years ago
One month, ruby worked 8 hours more than isaac, and svetlana worked 4 times as many hours as ruby. together they worked 136 hour
Travka [436]

Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for (x+8) hours.

And Svetlana worked four times of Ruby, therefore Svetlana worked for

4(x+8) hours

And total hours they worked together is 136. That is

x+x+8 + 4(x+8) = 136
\\
x+x+8 +4x+32=136
\\
6x+40 =136
\\
6x=96
\\
x =16 hours

So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .


6 0
3 years ago
R’(-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?
xz_007 [3.2K]

Answer:

<h3>            R(-1, -9)</h3>

Step-by-step explanation:

When we reflect over x-axis then the x-coordinate doesn't change and the y-coordinate changes its sign

in means  if R = (x, y) then R' = (x, -y)

so we have:

x = -1    and      -y = 9

                        y = -9

which gives R = (-1, -9)

6 0
3 years ago
The given line passes through the points and (-4, -3) and (4, 1).
Debora [2.8K]

Answer:

The equation of the line is y - 3 = -2(x + 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line which passes through the points (x1 , y1) and

  (x2 , y2) is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

- The product of the slopes of the perpendicular lines = -1

- That means if the slope of a line is m then the slope of the

  perpendicular line to this line is -1/m

- The point-slope of the equation is y - y_{1}=m(x - x_{1})

* lets solve the problem

∵ A given line passes through points (-4 , -3) and (4 , 1)

∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1

∴ The slope of the line m=\frac{1-(-3)}{4-(-4)}=\frac{1+3}{4+4}=\frac{4}{8}=\frac{1}{2}

- The slope of the line perpendicular to this line is -1/m

∵ m = 1/2

∴ The slope of the perpendicular line is -2

- Lets find the equation of the line whose slope is -2 and passes

 through point (-4 , 3)

∵ x1 = -4 , y1 = 3

∵ m = -2

∵ y - y1 = m(x - x1)

∴ y - 3 = -2(x - (-4))

∴ y - 3 = -2(x + 4)

* The equation of the line is y - 3 = -2(x + 4)

4 0
3 years ago
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