Answer:
a. 600 CDs
b. 700 CDs
Step-by-step explanation:
a. Let us assume the number of CDs sold during the month be x
Number of CDs sold = 12
Given Percentage = 2%
So, the equation be
2% of x = 12
x = 600
So, the number of CDs sold during the month is 600
b. Now the number of CDs sold during the next month be y
Number of CDs sold = 14
Given Percentage = 2%
2% of y = 14
y = 700
So, the number of CDs sold during the next month is 700
g(x) = 5x
Write the expressions for (f times g)(x) and (f+g)(x) and evaluate (f-g)(2)
Answer:
Step-by-step explanation:
a) fg(x)
--> f(5x)
--> 3(5x)+3
--> 15x+3
b) f+g(x)
--> 3x+3+ 5x
c) (f-g)(2)
3x+3- 5x
--> 3(2)+3-5(2)
--> -1
Answer:
solution given:
f(x) = 3x+3
g(x) = 5x
now
(f times g)(x)=?
(f+g)=?
(f-g)=?
we have
(f times g)(x)=f(g(x))
substituting value of g(x)
f(g(x))=f(5x)
now replacing value of x in f(x)
f(5x)=3(5x)+3
solving it
f(5x)=15x+3
so (f times g)(x) =15x+3
Step-by-step explanation:
again,
(f+g)(x)=f(x)+g(x)=3x+3+5x=8x+3
so
(f+g)(x) =8x+3
again
we need to find (f-g)(x) first so
(f-g)(x)=f(x)-g(x)=3x+3-5x=-2x+3
now
(f-g)(2)=-2*2+3=-1
(f-g)(2)=-1
Answer:
Step-by-step explanation:
1) We would determine the cube root of 27 and find its square.
Cube root of 27 = 3
3² = 9
Solution = 9
2) 36³ = 46656
√36³ = √46656 = 216
3) we would find the 5th roof of - 243 and find its cube
5th root of - 243 = - 3
- 3³ = - 27
Solution = - 27
4) Looking at the expression, 40⅔, we can see that
a = 2
b = 3
c = 40
Answer: 1) We would determine the cube root of 27 and find its square.Cube root of 27 = 33² = 9Solution = 92) 36³ = 46656√36³ = √46656 = 2163) we would find the 5th roof of - 243 and find its cube5th root of - 243 = - 3- 3³ = - 27Solution = - 274) Looking at the expression, 40⅔, we can see that a = 2b = 3c = 40
Step-by-step explanation:
B.) Increasing linear
C.) Exponential growth
D.) Decreasing linear
Answer:
The type of function that represents this pattern is:
Option: C)
C.) Exponential growth.
Step-by-step explanation:
It is given that the number of mice living in a field triples each year.
This means that the population of mice is increasing at a constant rate i.e. 3 each year.
So, the function that represent this pattern is a exponential growth.
Also let P(t) be the function that represents the population of mice after 't' years.
Then P(t) is modeled as:
where is the initial population of the mice.
Hence, Option: C is the correct answer.
C) Exponential Growth.