Answer:
The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Step-by-step explanation:
We need to describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
We have g(x) = cos x
After transformation we get
f(x)= 9 cos x
According to transformation rule:
if f(x) is transformed into a.f(x) then the transformation is vertical stretch or compression.
- if a > 1 then transformation is vertical stretch
- if 0 < a < 1 then transformation is vertical compression
In our case
g(x)= cos x
f(x) = 9 cos x
a=9 and a>1 so, the transformation is vertical stretch.
So, The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Answer:
11
Step-by-step explanation:
the answer is 11 because there are 11 words and 2 ps
The lines intersect at (-1.8,-4.4)
Answer:
The amount is $472.93 and the interest is $22.93.
Step-by-step explanation:
STEP 1: To find amount we use formula:
A=P(1+rn)n⋅t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
P=$450 , r=2.5% , n=2 and t=2 years
After plugging the given information we have
AAAA=450(1+0.0252)2⋅2=450⋅1.01254=450⋅1.050945=472.93
STEP 2: To find interest we use formula A=P+I, since A=472.93 and P = 450 we have:
A472.93II=P+I=450+I=472.93−450=22.93
Answer:
7 worms
Step-by-step explanation:
Let each can have x worms, so we can say
Luis has 4x worms
Diego has 3x + 2 worms
Cecil has 2x worms
Since, in total they have 65 worms, we can write and equation and solve:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 63/9
x = 7
There are 7 worms in each can.
