is there a picture or other attachment with your question?
B. 3 ( x + 8 )
C. 6 ( x + 24 )
D. 6 ( x + 4 )
Please explain! :)
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Briemodee! :)
The required expression is equivalent to 6(x + 4). Option D is correct.
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.
Here,
Combine like terms by adding the coefficients of the x-terms and the constants:
3x + 14 + 3x + 10 = 6x + 24
Therefore, the expression is equivalent to 6(x + 4).
Learn more about simplification here:
#SPJ1
g(x) is shifted 3 units to the right and 1 unit down.
g(x) is shifted 3 units to the right and reflected over the x-axis.
g(x) is shifted 3 units to the left and reflected over the x-axis.
The difference between the functions f(x) and g(x) is the addition of a
constant to the value of x and changing the sign of the output.
The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and
reflected over the x-axis.
Reason:
The addition of a positive constant term to the input variable of a function,
shifts the graph to the left of the graph of the parent function.
Please find attached the image of the graph of f(x), which is g(x) shifted to
the left by 3 units.
Changing the sign of the output value from positive to negative;
When the output value of a function is changed from positive to negative,
and vice versa, it is equivalent to a reflection across the x-axis.
Therefore, the function g(x) is a reflection across the x-axis.
Therefore;
g(x) is shifted 3 units to the left and reflected over the x-axis.
Learn more here:
Answer:
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
Given the Parent function:
And the other
Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.
The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.
The overall increment at the end of the three-year period is 22.5%
The increments are given as:
So, the overall increment is calculated as:
Substitute known values
Express as decimals
Multiply
Express as percentage
Subtract
Approximate
Hence, the overall increment is 22.5%
Read more about percentage change at:
The overall percentage increase is 22.5%.
step-by-step explanation
Percentage increase in the first year=5%
Percentage increase in the second year=9%
Percentage increase in the third year=7%
we have to calculate the overall percentage increase
Let the initial tuition fees be x
tuition fees after three years=
=
The overall percentage increase is 22.5%.