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BARSIC [14]
3 years ago
5

What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)

Mathematics
2 answers:
enot [183]3 years ago
6 0
7 \sqrt[3]{2x} - 3 \sqrt[3]{16x} - 3 \sqrt[3]{8x}

7 \sqrt[3]{2x} - 3 \sqrt[3]{8 \times 2x} - 3 \sqrt[3]{4 \times 2x}

\sqrt[3]{2x} ( 7  - 3 \sqrt[3]{8} - 3 \sqrt[3]{4})

\sqrt[3]{2x} ( 7  - 6 - 3 \sqrt[3]{4})

\sqrt[3]{2x} ( 1 - 3 \sqrt[3]{4})

\sqrt[3]{2x} - 3 \sqrt[3]{8x}

\sqrt[3]{2x} - 6 \sqrt[3]{x}

svlad2 [7]3 years ago
5 0

Answer:

The simplified form of the expression is \sqrt[3]{2x}-6\sqrt[3]{x}

Step-by-step explanation:

Given : Expression 7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}

To Simplified : The expression

Solution :  

Step 1 - Write the expression

7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}

Step 2- Simplify the roots and re-write as

16=2^3\times2 and 8=2^3

7\sqrt[3]{2x}-3\times2\sqrt[3]{2x}-3\times2\sqrt[3]{x}

Step 3- Solve the multiplication

7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}

Step 4- Taking \sqrt[3]{2x} common from first two terms

\sqrt[3]{2x}(7-6)-6\sqrt[3]{x}

\sqrt[3]{2x}-6\sqrt[3]{x}

Therefore, The simplified form of the expression is \sqrt[3]{2x}-6\sqrt[3]{x}

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If x/3= x+1/4, What is the value of x
olya-2409 [2.1K]
Well first because in this equation the first value is less than one, we should multiply the whole equation by 3, so
<span>x/3= x+1/4
x=3x+3/4
now we should switch the values
3x+3/4=x
now subtract x from both sides
2x+3/4=0
now subtract 3/4 from both sides
2x=-3/4
now divide both sides by 2
x=3/8
So that's your answer!

</span>
8 0
3 years ago
A store I selling all toaster ovens at 15% off. Write an equation in the form y=kx
slavikrds [6]
The answer is y equals 0.85 x. Hope this help you
5 0
3 years ago
... please help..........................
Drupady [299]

Answer:

B

Step-by-step explanation:

-8+2=-6 and im pretty sure negative of a power is just a regular power so its B

6 0
3 years ago
83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard devi
arlik [135]

Answer:

\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}

4.525 \leq \sigma^2 \leq 7.602

Now we just take square root on both sides of the interval and we got:

2.127 \leq \sigma \leq 2.757

Step-by-step explanation:

Information given

\bar X=32.1 represent the sample mean

\mu population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size  

Confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom given by:

df=n-1=8-1=7

The confidence level is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

\chi^2_{\alpha/2}=104.139

\chi^2_{1- \alpha/2}=62.132

The confidence interval is given by:

\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}

4.525 \leq \sigma^2 \leq 7.602

Now we just take square root on both sides of the interval and we got:

2.127 \leq \sigma \leq 2.757

5 0
3 years ago
A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm
mixas84 [53]

Answer:

Number of miles traveled by Mary to work = 7 miles

Step-by-step explanation:

total distance traveled on the Map by Mary = 1 + 2.5 = 3.5 cm

Scale of the map = 2 cm = 4 miles

Hence 3.5 cm = (3.5 x 4) ÷ 2 = 7 miles

8 0
3 years ago
Read 2 more answers
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