Answer: x > 5
Step-by-step explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.
Since 3 is being subtracted from x, we add 3 to
both sides of the inequality to get x > 5.
When graphing x > 5, we have an open circle on 5 and the
open circle tells us that 5 is not part of our answer.
Then we draw an arrow going to the right to represent
all possible solutions to this inequality, any number greater than 5.
Answer:

Step-by-step explanation:
The parent function is

First it is asked to reflect over the y axis so using the rule

Our function looks like

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

where a is the vertical stretch. So now it would look like

Answer: Their actual volume in millions is 207×10⁹.
Step-by-step explanation:
Since we have given that
A certain corporation listed their sales in 100s as 20700
We need to find their actual volume in millions,
According to question,
In 100s, their volume = 2070000
In 100000, their volume is given by

Hence, their actual volume in millions is 207×10⁹.
3.5m + 2.5 = 79.5 is the equation that could be used to determine m, the number of miles in the taxi ride.
Given in question,
Pick-up fee = $2.50
Fee per mile = $3.50
Total fare = $79.50
Let the no. of miles = m
Fee for m miles = 3.50m
Equation, 3.50m + 2.50 = 79.50.
Hence, the equation is 3.50m + 2.50 = 79.50.
To learn more about equation here:
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First, do 272 + 38 = 310
Secondly, do 310 - 89 = 231
Third, do 231 ÷ 9 = 25
The most number of beeds she can have is 25