Answer:
The parent function f(x) is equal to 
The translations is 3 units to the left and 5 units down
Step-by-step explanation:
we have

The vertex of the function h(x) is the point (-3,-5)
we know that the parent function f(x) is equal to

The vertex of the function f(x) is the point (0,0)
so
The rule of the transformation of f(x) to h(x) is equal to
(x,y) -----> (x-3,y-5)
That means ----> The translations is 3 units to the left and 5 units down
Answer:
a_n = 3 + a_n − 1 a_ n = 3 + a_ n − 1
Step-by-step explanation:
The first term is 8, so a_1 = 8
Each time we want a new term, we add on 3
8+3 = 11
11+3 = 14
14+3 = 17
17+3 = 20
23+3 = 26
and so on
This recursive step of adding on 3 to the prior term is written as this: an = 3+a_n-1 which says "to get the nth term, add 3 to the term just before the nth term"
Answer:
x = 76.58°
Step-by-step explanation:
hyp = 13.41
tan = opp/adj
tan = 1/2 = 26.57
x = 76.58
Answer:
A) 18%
Step-by-step explanation:
Find percent change by subtracting to find the change, then put that over the original amount and times by 100.
79 - 65 is 14
change/original is
14/79
= .177
Then times 100 to make the decimal into a percent.
0.177×100 is 17.7%
which rounds to 18%.
Answer:
Should be -3x-3.
Step-by-step explanation:
All you have to do is subtract like you would binomials, which is just 5x-2x and -2-1. I hope this helps!