Answer:
A
Step-by-step explanation:
Note the following 3 points with respect to a function given as y = f(x).
1. The function y = f(-x) is a reflection across the y-axis
2. The function y = f(x+a) is a horizontal translation a units left and y = f(x-a) is a horizontal translation a units right
3. the function y = f(x) + a is a vertical translation a units up and y = f(x) - a is a vertical translation a units down
Dissecting the transformed function of f(x) = ln (3-x) -2 w.r.t f(x) = ln x, we see:
<em>1. x is replaced with -x, so </em><u><em>reflection across y-axis</em></u>
<em>2. we have a horizontal shift in left side because the argument of ln is (3-x) or (-x+3)</em>
<em>3. We have vertical shift 2 units down because there is a -2 after the functional part of ln(3-x)</em>
<em />
Looking at the choices, A is the right answer.
Answer: The answer is 75
Step-by-step explanation:
Answer: a = -2 and c = 7
Step-by-step explanation:
(this answer uses some basic calculus)
We know that 
, and since 
is a maximum of 
, then 
. That means 
, so 
. Then since 
, we have 
, so 
.
In the problem given:
W + 15x - 9y + 2z
The term are single mathematical expressions that separate values.
In the expression, there is a + and -; these concludes 2 terms.
There are 3 coefficients next to each variable.
The coefficients are 15x, -9y, and 2z.
That means there are 3 coefficients.
Cheers
- ROR
You can essentially make 3 rectangles out of the 12 toothpicks. Remember, squares are technically rectangles.
1. 1 by 5
2. 4 by 2
3. 3 by 3
