1. Given (12+3)x, we can sum the numbers in the parenthesis to get 15x
2. Given 12x+3x, we can factor x to get (12+3)x and get the same as 1.
3. Given (12+3x)x, we have to distribute the x and we have 
4. This expression is already simplified.
Answer: The raw score for Daniel's exam grade is 101.69.
Step-by-step explanation:
For x be any random variable.
Formula for z-score :
, where
= population mean
= population standard deviation.
Let x be the raw score for Daniel's exam grade.
As per given , we have
,
and z= 1.67 , put these values in the above formula , we get

Hence, the raw score for Daniel's exam grade is 101.69.
Answer:
h = (m/4 - as)/s
Step-by-step explanation:
s = m / 4(a+h)
(a+h) · s = m/4 ><em>multiplied </em><em>(a+h)</em><em> on both side</em>
as + hs = m/4 ><em>distributed the </em><em>s</em><em> to </em><em>(a+h)</em>
hs = m/4 - as ><em>subtracted </em><em>as</em><em> on both side</em>
h = (m/4 - as)/s<em> >divided </em><em>s</em><em> on both side</em>
<em />
Answer: y=4x-4
Step-by-step explanation:
To find the equation fo the line parallel to the given line, we can use the given point to find the y-intercept. We know that the slope must stay the same because parallel lines NEVER touch or cross. This means that the slope MUST be the same.
y=4x+b
We can use the given point to find the y-intercept.
8=4(3)+b [multiply]
8=12+b [subtract both sides by 12]
b=-4
Now that we have found the y-intercept, we can complete the equation.
y=4x-4
Answer:
reflect over the x-axis and shift down 3
Step-by-step explanation:
The leading coefficient of -1 means the graph is reflected over the x-axis. The addition of -3 to the function means each graphed point is shifted down 3 units from the original.
The graph of y = -x^2 -3 is the result of the transformation ...
reflect over the x-axis and shift down 3