Answer:
C. (-2,4)
Step-by-step explanation:
We have been given a function and we are asked to find the vertex of our absolute value function.
The rules for the translation of a function are as follows:
Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.
Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.
Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.
Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
Answer:
5-(-7)=5+7
Step-by-step explanation:
keep in mind that two negatives make a positive. therefore it would be 5+7=5+7. i hope this helps :)
The answer is letter C.) 603.40
The minimum required score can solved using the equation
<span>MRS = mean + (zscore)(SD)
where z score of 0.03 is 1.88
</span>MRS <span>= </span>500 + (1.88)(55)
MRS = <span>603.40
</span>
<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>
17) 146 min.
18) 5 hrs and 31 min
19) -1/6