Answer:
6 units down
Step-by-step explanation:
Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.
If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0
Given that the parent function is an absolute value represented by:
y = |x|
Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down
Answer:
4 months.
Step-by-step explanation:
We can write formulas for the amount each person paid after x months. These will be
Brian = 60 + 42.95x
Michael = 0 + 57.95x
So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation
60 + 42.95x = 57.95x
60 = (57.95 - 42.95)x
60 = 15x
x = 4
After four months.
Answer: 87.9675
Step-by-step explanation:
Formula for z:
, where x= data value corresponding to z, 
= mean, 
= standrad deviation.
Given: =85.3, =4.85, z=0.55
To find : x
Hence, The required data value= 87.9675
Therefore, the diameter of the circle is about 21.01 in.
