Three times b less than 100 is equal to the product of 6 and b
2 answers:
The equation is : 100 -3b = 6b
The solution: variable b = 11.9
<h3>Further Explanation</h3>One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:
ax + b = c, where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
In the statement of the task:
three times b less than 100 is equal to the product of 6 and b is the same as 100 minus 3 times b equals 6 times b.
If we translate this sentence into equation, :
100 -3b = 6b
This equation belongs to One variable linear equation because there is one variable = b and the exponent number is one
The solution is :
100 = 9b
b = 100 : 9
b = 11.1
<h3>Learn more </h3>the slope-intercept form of the linear equation
a graph of a linear equation
system of linear equations
Keywords : one variable, linear equation , product, less than, equal to, two variable, constants
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The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).