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2 years ago

12

Factor: 4x^6+4x-12= _________

2 answers:

Digiron [165]2 years ago

6 0

4x^6+4x-12

4(x^6+x-3)

Now I haven't memorized any way to factor sixth-order equations...but we can use Newton's genius :)

x-(f(x)/(dy/dx))

x-(x^6+x-3)/(6x^5+1)

(5x^6+3)/(6x^5+1), if we let x1=1 we get:

1, 8/7, 1.11, 1.1117, 1.1117564746368137533445820441994, and my calculator keeps repeating there as that is the end of its precision so if you'd like to go further.

You would divide (x^6+x-3) by (x-1.1117...) to get the next factor :)

lana [24]2 years ago

4 0

The answer would be 4(x^6+x-3)

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Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)

Keith_Richards [23]

Compute the derivative of <em>y</em> = (<em>x</em>² + <em>x</em> - 2)² using the chain rule:

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) d/d<em>x</em> [<em>x</em>² + <em>x</em> - 2]

d<em>y</em>/d<em>x</em> = 2 (<em>x</em>² + <em>x</em> - 2) (2<em>x</em> + 1)

Evaluate the derivative at <em>x</em> = -1 :

d<em>y</em>/d<em>x</em> (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4

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Use the point-slope formula to get the equation for the tangent line:

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2 years ago

A)<br>evaluate :<br>(iii) (11.6)^2

IrinaVladis [17]

Answer is 134.56, you’re welcome

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3 years ago

3.) mr. smith’s class sold wrapping paper for $3.50 each and mr. davis’ class sold magazines for $2.75 each. together, the class

igor_vitrenko [27]

Answer:

The number of wrapping paper sold was 32 and the number of magazines sold was 40

Step-by-step explanation:

Let

x ----> the number of wrapping paper sold

y ----> the number of magazines sold

we know that

The classes sold 72 items

so

$x+y=72$ ----> equation A

The classes earned $222 for their school

so

$3.50x+2.75y=222$ ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is (32,40)

see the attached figure

therefore

The number of wrapping paper sold was 32 and the number of magazines sold was 40

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3 years ago

Which expressions can you use to find 75% of 56? CHECK ALL THAT APPLY

san4es73 [151]

Answer: 3/4* 56, 0.75 * 56, 3 * 14 I just did the quiz on it

4 0

3 years ago

Which graph shows the points (−112, 12) and (1.5, −0.5) plotted correctly? On a coordinate plane, a point is 0.5 units to the ri

chubhunter [2.5K]

Answer:

Graph 'B' represents the correct graph.

The correct graph is attached below.

Step-by-step explanation:

Let 'A' be the point:

$A\left(-1\frac{1}{2},\:\frac{1}{2}\right)$

Let 'B' be the point:

$B\:\left(1.5,\:-0.5\right)$

As point A(-1 1/2, 1/2) can be written as:

$A=\left(-\frac{3}{2},\:\frac{1}{2}\right)=\left(-1.5,\:0.5\right)$

so plotting the point $A=\left(-1.5,\:0.5\right)\:\:\:\:$ and $B\:\left(1.5,\:-0.5\right)$ on a $B\:\left(1.5,\:-0.5\right)$ .

As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.

Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5

i.e. at x= -1.5, y = 0.5

As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.

Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5

i.e. at x= 1.5, y = -0.5

Thus, graph 'B' represents the correct graph.

The correct graph is attached below.

6 0

3 years ago

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