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garri49 [273]
3 years ago
15

6x+18=h(3x+9) what value the constant h in the equation shown below will result in a infinite number of solutions

Mathematics
2 answers:
pav-90 [236]3 years ago
4 0
For there to be an infinite number of solutions, the quantity on the left side of the equation must be the same as on the right.
First, distribute the equation to get 
6x + 18 = 3xh + 9h
If h = 2, the equation on the right would also be 6x + 18 which would yield the same equation and hence an infinite number of solutions
So the answer is h = 2
creativ13 [48]3 years ago
3 0

Answer:

h = 2

Step-by-step explanation:

6x  + 18  =  h (3x + 9)

To get the value of h, we simply need to make h subject of the formula;

To make h subject of the formula, we simply divide both-side of the equation by (3x + 9)

\frac{6x + 18}{3x + 9}       =     \frac{h(3x + 9)}{(3x + 9)}

(On the right hand side of the equation (3x+2) will cancel out (3x+2) leaving us with h)

\frac{6x + 18}{3x + 9}       =      h

h  =   \frac{6x + 18}{3x + 9}   ----------------(1)

We want to make the numerator and denominator look the same so that  we can cancel out, at the numerator, we can factor out 2 from 6x + 18

i.e 6x + 18 = 2 ( 3x + 9)

So we can  replace 6x + 18    by  2(3x + 9)  in equation (1)

h = \frac{2 (3x + 9)}{(3x +9)}

( on the right hand side of the equation, (3x + 9) will cancel out (3x + 9) leaving us with just 2)

<em>h = 2</em>

We can plug in our h =2 in the initial equation

6x +  18   =  2(3x + 9)

6x + 18 = 6x + 18

This equation has an infinite number of solutions.

Therefore the value of constant h in the equation that can make the equation have an infinite number of solutions is 2

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Answer:

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Step-by-step explanation:

The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.

So lets a student builds unifix cube towers to represent the ages of the five children as following:

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Now the student first places them in order from smallest to largest

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Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:

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Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:

2

The tower in the middle is remaining i.e. 2

So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.

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Answer:

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