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vovikov84 [41]
3 years ago
12

Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b

ecomes unsolvable. Kelly explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to Kelly how the equation is still solvable and explain your reasoning
Mathematics
1 answer:
ki77a [65]3 years ago
6 0

3/4=1/2+3/x

1/4=3/x

x/4=3

x=12

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Find the square: (5x - 4y)2 <br><br> (and please put the process of solving the equation)
satela [25.4K]
(5x-4y)^2
(5x-4y)(5x-4y)

Multiply each term in one bracket in turn by the terms in the other bracket

(5x)(5x) = 25x^2
(5x)(-4y)=-20xy
(-4y)(5x)=-20xy
(-4y)(-4y)=16y^2

Put them together we have
25x^2-20xy-20xy-16y^2
25x^2-40xy-16y^2
7 0
3 years ago
Given any two numbers, which is greater, the lowest common multiple of the numbers or the greatest common multiple?
tester [92]

After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers. Find the LCM of these sets of numbers. Multiply each factor the greatest number of times it occurs in any of the numbers. 9 has two 3's, and 21 has one 7, so we multiply 3 two times, and 7 once.

4 0
3 years ago
Researchers measured the bone mineral desnsity of the spines of 94 women who had taken teh drug CEE. The mean was 1.016 g/cm2, a
Valentin [98]

Answer:

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{0.155}{\sqrt{94}} = 0.0310

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²

The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²

The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².

6 0
3 years ago
| Find the quadratic polynomial whose<br> Sum and products of zeros are 21/8 and 5/16
tatuchka [14]

Answer:

16x^{2} -42x+5

Step-by-step explanation:

Sum of its zeroes=\alpha +\beta =\frac{21}{8} \\

Product of its zeroes=\alpha \beta=\frac{5}{16}

Formula to form a quadratic polynomial:

p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ]

p(x)=k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]

p(x)=16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}]

p(x)=[16x^{2} -42x+5]

The quadratic polyniomial is 16x^{2}-42x+5

8 0
3 years ago
Create a real life representation of the following multiplication problem <br> 24(1/3) =8
dlinn [17]

Answer:

Amanda bought 24 pounds of turkey for the eve of Christmas. She decided to cook one third of the turkey for the guests coming over lunch. So she will cook one third of 24 pounds that is 8 pounds of turkey for the lunch.

Step-by-step explanation:

We have been given a multiplication problem 24(\frac{1}{3} )=8.

<em>Basically it says one third of 24 is 8. </em>

So a real life representation of the following multiplication problem can be represented as follows:

Amanda bought 24 pounds of turkey for the eve of Christmas. She decided to cook one third of the turkey for the guests coming over lunch. So she will cook one third of 24 pounds that is 8 pounds of turkey for the lunch.

4 0
3 years ago
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