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Paraphin [41]
3 years ago
10

Sqaure root of 5 (u-1)(u^5+u^4+u^3+u^2+u+1)

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0
GIVEN:

5(u - 1)( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1)

remember:

\sqrt{u} = {u}^{ \frac{1}{2} }

And

{u}^{n} \times {u}^{m} = {u}^{n + m}

SOLVE:

start by multiplying the factors:

5( ({u}^{6} + {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u ) - ( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1))

simplify by combing like terms. Most terms subtract off, leaving:

5( {u}^{6} - 1)

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

5( {u}^{3} - 1)( {u}^{3} + 1)

I'm not exactly sure what form they want the answer in...

so taking the square root:

\sqrt{5( {u}^{6} - 1) } = {(5( {u}^{6} - 1))}^{ \frac{1}{2} }

so my best answer is:

{5}^{ \frac{1}{2} } \times {( {u}^{6} - 1)}^{ \frac{1}{2} }
or the more factored form:

{5}^{ \frac{1}{2} } { ({u}^{3} - 1)}^{ \frac{1}{2} } { ({u}^{3} + 1 )}^{ \frac{1}{2} }

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!
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Llana [10]
This is the graph for the equation, it crosses through points (0,-8) (-2,4) (-1.6,0) and its vertex is (-2,2)

Hope this helps !!

7 0
3 years ago
Rebekah manages a yoga studio that charges each customer a one-time initial fee of $35 and an additional fee of $12 per class ta
Maru [420]

Answer:

Inequality: 12c + 35 ≥ 100

Minimum number of classes per customer: 6

Step-by-step explanation:

12c + 35 ≥ 100

      - 35     -35

12c ÷ (12) ≥ 65 ÷ (12)

c ≥ 5.4 (so 6)

Hope this helps good luck!

5 0
3 years ago
Read 2 more answers
PLZZZZZ HELPPP ASAPPPP IM FREAKIN OUTTTTTT
Temka [501]

Answer:

1. C)  2 (x-2)(x-1)

2. D) cannot be factored

3. B)  (x-8)(x+5)

4. D)  2 (x+5)(x-5)

5. D)  (x+5)(x-3)

hope this was helpful! let me know if you needd the steps! c:

3 0
3 years ago
The height of a trapezoid is 8 inches and its area is 48 in.² one base of a trapezoid is 6 inches longer than any other base wha
Mkey [24]
A = (B+b)·h/2 = 48 and B=b+6

2·48 = (b+6+b)·8
12 = 2b + 6
6 = 2b
b = 3 <span>inches
B = 9 </span><span>inches</span>
3 0
3 years ago
(d) 12b + 5.65 = 12.13
-BARSIC- [3]

Answer:

D. 804.2

Step-by-step explanation:

The area equation is πr^2 so

16^2 = 256

256 × π (or 3.14) = 803.84

which is ≈ 804.2

Please mark brainliest. :)

UWU have a nice day!

3 0
3 years ago
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