Answer:
So both equations are true
Step-by-step explanation:
#4 was asking you to substitute x = 4 into both equations to see if it's the solution of the equations.
Substitute x = 4
Ritz equation
y = 30x + 20
y = 30(4) + 20
y = 120 + 20
y = 140
Smits equation:
y = 15x + 80
y = 15(4) + 80
y = 60 + 80
y = 140
Both companies charged same price $140 for 4 days
So both equations are true
Answer:
Part A From the choices provided, select all the questions that represent statistical questions. What was the temperature at 5:00 p.m. today in Boston? What was the temperature at 5:00 p.m. today in Boston? How many pieces of fruit were used to make Shawn’s smoothie today? How many pieces of fruit were used to make Shawn’s smoothie today? How many states are there? How many states are there? What types of food do students in your school bring for lunch each day? What types of food do students in your school bring for lunch each day? How many books did each student check out at the library last year? How many books did each student check out at the library last year? Question 2 Part B Of the statistical questions you selected, which are categorical? Explain.
Answer:
aₙ=(-2)ⁿ*2.
Step-by-step explanation:
1) -4*(-2)=8; 8*(-2)=-16; -16*(-2)=32, ...
2) the required equation is:
aₙ=(-1)ⁿ*2ⁿ*2; ⇒ aₙ=(-2)ⁿ*2 or aₙ=(-1)ⁿ*2ⁿ⁺¹.
Its 100 because its not rounded to the nearest whole like 200 because its less than 50 so it would round down
Step-by-step explanation:
We will prove by contradiction. Assume that 
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that 
. Then, for some integer 
,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for 
and an odd positive number 
,
Applying this formula in 1) we obtain that
.
Then, as 
we have that 
is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.
