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Degger [83]
3 years ago
10

How to solve this equation involving radicals. 8x(x – 6)1/2 + 4(x – 6)3/2 = 0

Mathematics
1 answer:
Naya [18.7K]3 years ago
4 0
8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = <u>-(-20) +/- √((-20²) - 4(8)(-36))</u>
                        2(8)
x = <u>20 +/- √(400 + 1152)</u>
                  16
x =<u> 20 +/- √1552</u>
             16
x = <u>20 +/- √(16 × 97)</u>
                16
x = <u>20 +/- √16 √97
</u>               16<u>
</u>x = <u>20 +/- 4 √97
</u>              16
x = <u>20 +/- 4(9.848857802)</u>
                     16
x = <u>20 +/- 39.39543121</u>
                    16
x = <u>20 + 39.39543121</u>        x = <u>20 - 39.39543121</u>
                  16                                        16
x = <u>59.39543121</u>                x = <u>-19.39543121</u>
              16                                         16
x = 3.71221445                  x = -1.212214451
<u />
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Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t
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Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.

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Step-by-step explanation:

if y is the other missing side

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s2008m [1.1K]

Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:

B. H(n) = 6(2)^{4n}

<h3>What is function for the note sequence?</h3>

The function for the node sequence is defined by:

f(n) = 6(16)^n

A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:

H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n

Hence option B is correct.

More can be learned about exponential properties at brainly.com/question/25537936

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