Answer:
Option C. 
Step-by-step explanation:
The complete question in the attached figure
we know that
The equation of the function f(x) is
Is a parabola open upward
The vertex is the point (0,0)
The function g(x) have the same shape
The vertex of the function g(x) is the point (-3,1)
so
The rule of the transformation of f(x) to g(x) is
(0,0) -----> (-3,1)
(x,y) -----> (x-3,y+1)
That means----> The translation is 3 units at left and 1 unit up
therefore
The equation of the function g(x) in vertex form is equal to
Like terms are terms that have the same variable. In this equation, your like terms are terms with n and terms without n. Put the like terms next to each other in the expression.
-n + 3n + (-3) + 5
Now, combine -n and 3n the same way you would combine -1 and 3.
2n + (-3) + 5
Next, combine -3 and 5.
2n + 2
Since 2n and 2 aren't like terms, your final answer will be 2n + 2.
Answer: OPTION B
Step-by-step explanation:
To solve this problem you must add the areas of each rectangle that form the prism;
The area of a rectangle can be calculated with the formula:
There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:
Step-by-step explanation:
the distance between points Y and Z
Step-by-step explanation:
1 septillion = 10^6 nonillion
the taking time = 5× 10^-6 / 257.21
= 500× 10^-8 /257.21
= 1.94 × 10^-8 seconds
