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nalin [4]
2 years ago
12

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

Mathematics
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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Mark and his three friend's ate at Applebee's. Their bill totaled $52.35. if they left the server a 20% tip, how much would each
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Check the attachment.

6 0
3 years ago
£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Korvikt [17]

The share of Natasha is £ 42

<em><u>Solution:</u></em>

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

z = \frac{y}{3} ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0
3 years ago
Two angles are complementary. One angle is labeled 2p+6°. The other angles is labeled 4p°. Find the value of p.
makkiz [27]

Answer:

<em>Value</em><em> </em><em>of</em><em> </em><em>p</em><em> </em><em>is</em><em> </em><em>14</em>

Step-by-step explanation:

given \: complementary \: angles \: add \: up \: to \: 90 \: degrees \\ then \\ 2p + 6 + 4p = 90 \\ 6p + 6 = 90 \\ 6(p + 1) = 90 \\ p + 1 =  \frac{90}{6}  \\ p + 1 = 15 \\ p = 15 - 1 \\ p = 14

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
Find the area of the composite figure and round the nearest tenth
Monica [59]

Answer:

The area of the composite figure is 1360 ft.

Step-by-step explanation:

First, you should split up the composite figure into separate shapes.

So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.

<u>30 x 34 = 1020 ÷ 2 = 520.</u>

Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.

To find area of the rectangle you multiply length x width.

<u>16 x 30 = 480.</u>

Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!

You have to subtract 40 - 16 which equals 24.

<u>30 x 24 = 720 ÷ 2 = 360.</u>

Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.

Remember to label your answer!

5 0
3 years ago
Read 2 more answers
The volume of a cube is S(x) = x3, where x is the length of the side of each edge of a cube. Find and describe the inverse funct
stepan [7]
S(x) = x^3
Make x the subject:-
x = (S(x))^ 1/3 = ∛ S(x)

Inverse  is ∛ S(x)
7 0
3 years ago
Read 2 more answers
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