The rate of change of y (miles traveled) with respect to x (time in hours) is 59, the coefficient of x. The appropriate choice is ...
... C. For every hour, she will drive 59 miles.
Answer:
18:6, 9:3, 36:12, 45:15, 54:18
Step-by-step explanation:
Given:
Consider the given function is
To find:
The vertex , axis of symmetry, and transformations of the parent function?
Solution:
We have,
...(i)
It is an absolute function.
The vertex form of an absolute function is
...(ii)
where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.
From (i) and (ii), we get
So,
Parent function of an absolute function is
Since, a=8 therefore, parent function vertically stretched by factor 8.
, so the function shifts unit right.
k=-3<0, so the function shifts 3 units down.
Therefore, the vertex is and Axis of symmetry is . The parent function Therefore, the vertex is and Axis of symmetry is . The parent function vertically stretched by factor 8, shifts unit right and 3 units down.
When solving inequalities you want to first group all like terms, so you'd first add 8 to both sides, and get rid of the extra number on the left side.
7x ≤ -7
Then you'd isolate the variable, so you should divide both sides by 7.
<u>x ≤ -1</u>
When graphing the equation the solution set includes -1 so you would put a closed circle (filled in). The variable "x" is less than and equal to -1 so you would put the arrow facing left <----.