Which of the following equations has an infinite number of
1 answer:
The following equation has infinite many solutions
3(2x+1)=2(1+3x)+1
Step-by-step explanation:
An equation has infinite solutions if there is same constant on both sides of the equation.
We will check each equation one by one to find the equation with infinite solutions.
So,
<u>3(2x+1)=2(1+3x)+1</u>
<u>3(2x+1)=2(1+3x)-1</u>
<u></u>
<u>3(2x-1)=2(1+3x)-1</u>
<u></u>
<u>3(2x+1)=2(3+2x)-3</u>
The following equation has infinite many solutions
3(2x+1)=2(1+3x)+1
Keywords: Solution of equation, Linear equation
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Answer:
The age of Jenny's mom is 40 % of age of Jenny's great-grandmother. (Input: 40)
Step-by-step explanation:
The percentage needed is calculated by the following expression:
Where:
- Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.
- Age of Jenny's mother, measured in years.
- Age of Jenny's great-grandmother, measured in years.
If we know that and
, the percentage is:
The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.
<h3>Answer: </h3><h3>See the attached image below for the table</h3>
In column 1 we have the x values 0, 4, 8, 12
In column 2, we have the y values 1, 2, 3, 4
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Explanation:
We can start with any x value we want. I find that 0 is easiest to work with, so why not start at x = 0. For the sake of not repeating, I'll use y = 1 as the start value for y.
The first row of the table is x = 0 and y = 1.
A slope of 1/4 means rise/run = 1/4. So rise = 1 and run = 4.
A rise of 1 indicates y goes up by 1. A run of 4 means x increases by 4.
So put together, slope = 1/4 means each time x goes up by 4, y goes up by 1.
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If we started at x = 0, then going up by 4 leads to x = 4. If y starts at y = 1, then going up by 1 leads to y = 2.
The second row of the table is x = 4 and y = 2
We'll repeat the pattern of "add 4 to x, add 1 to y" getting the third row having x = 8 and y = 3
We can repeat as many times as we want. Doing another "up 1, over to the right 4" movement lands us on (x,y) = (12, 4)
The completed table is shown below in the attached image.
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If you were to use the slope formula with any two rows of the table, then you should get m = 1/4
Let's do the first two rows
m = (y2-y1)/(x2-x1)
m = (2-1)/(4-0)
m = 1/4
I'll let you check the other pairs of rows.