We are given the following function:
We are asked to do the following tranformations:
1. Shift down 5 units and left 77 units.
First, to shift a function down a number "n" of units we follow the next rule:
And, to shift a function "m" units to the left we use the following rule:
Applying both rules simultaneously we get:
2. Reflect about the y-axis.
The rule to reflect a function about the y-axis is the following:
The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:
3. Compress vertically by a factor of 2.
To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:
Applying the rule we get:
And thus we get to the final function.
Answer:
25m^3n^7
Step-by-step explanation:
Let's write out the equation
5mn^4 • 5m^2n^3
When we multiply exponents with similar bases, you add them together.
For example 2^2 • 2^2= 2^4
Numbers with no exponent are to the power of one
For example: 2= 2^1
Now that we know this, let's combine like terms
5 • 5=25
m^1•m^2=m^3
n^4•n^3=n^7
Answer: 25m^3n^7
Answer:
143
Step-by-step explanation:
12+6/7n=-25n add 25n and subtract 12 on both sides
25 6/7n=-12 convert to improper fraction
181/7n=-12 multiply both sides by seven to clear the fraction
181n=-84 divide both sides by 181 to get your answer
n= -.46 hope that helps..