Answer:
D
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.
f(x) = |x-3|
Solving for y right?
2y = 3x + 4 - x
2y = 2x + 4
y = 2x + 4 over 2
y = 2 (x + 2) over 2
y = x + 2
y - 3 = 2x - 6 over 2
y - 3 = 2(x - 3) over 2
y - 3 = x - 3
y = x
x - y - 2 = 2(2x + 1)
-y - 2 = 2(2x + 1) - x
-y = 2(2x + 1) - x + 2
y = -2(2x + 1) + x - 2
A) every 50 students is 1 representative, so:
r = (a+b+c+d+e)/50
b) (1587 + 985 + 2052 + 824 + 752)/50 = 6200/50 = 124 representatives.
Our answer makes sense since for every representative, there are 50 students. And 50*124 = 6200 total students.
should be 4
Step-by-step explanation:
Answer:
The equation of the tangent line is 
.
Step-by-step explanation:
Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:
(1)
If we know that 
, then the slope of the tangent line is:
By definition of tangent line, we determine the intercept of the line (
):
(2)
If we know that 
and 
, then the intercept of the tangent line is:
The equation of the tangent line is .
