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nalin [4]
3 years ago
12

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

Mathematics
2 answers:
Digiron [165]3 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]3 years ago
4 0
The answer would be 4(x^6+x-3)
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7 0
3 years ago
Lily bought 20.24 pounds of grapefruit. The lightest grapefruit weighed 1.2 pounds. The heaviest grapefruit weighed 1.8 pounds.
dexar [7]

Given:

  • Lily bought 20.24 pounds of grapefruit.
  • The lightest grapefruit weighed 1.2 pounds.
  • The heaviest grapefruit weighed 1.8 pounds.

To Find:

An estimate of the number of grapefruits she bought.

Answer:

The best estimate is that Lily bought 13 grapefruits.

Step-by-step explanation:

Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.

That is, we can say that each grapefruit must weigh something close to the average value.

The average can be found as

\frac{1.2+1.8}{2}=1.5

Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.

Now, given that the total weight of the grapefruit she bought is 20.24 pounds.

By the Unitary Method,

Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits

So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit

In other words,

number of grapefruit = \frac{20.24}{1.5}=13.49

Rounding off, we may say that Lily bought 13 grapefruits.

6 0
3 years ago
Can someone please help me!
kirill115 [55]
I will give u the steps
add up all of the values
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7 0
3 years ago
Read 2 more answers
A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

((x_1, y_1) and (x_2, y_2) are the two points)


The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

D = \sqrt{(-1 - 2)^2 + (5 - 5)^2

  • Substitute values into formula

D = \sqrt{(-3)^2}

  • Combine like terms and then simplify 0^2 to 0

D = \sqrt{9}

  • Compute (-3)^2 = 9

D = 3

  • Compute \sqrt{9} = 3

The length of DC is 3.

7 0
3 years ago
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