Answer:
Step-by-step explanation:
We have been given an equation . We are asked to solve our given equation.
First of all, we will add 3 to both sides of our equation.
Now, we will divide both sides of our equation by 4.
Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,
Therefore, the solution for our given equation is .
Answer:
a)
b)
c)
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is
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