Answer:
Assume that Sn is valid for n = k and prove that Sn is valid for n = k + 1.
Step-by-step explanation:
This is the second step in the principal of mathematical induction. The three steps in the principals of mathematical induction are:
1. show that something works for the first case (base or anchor step)
2. assume that it works for any particular step (inductive hypothesis), and then
3. show that it works for the next case (inductive step)
p. 621 in textbook
It's weird that they put steps 2 & 3 together, but it was correct on the test so ¯\_(ツ)_/¯
Answer:
34
Step-by-step explanation:
Add them together
5x+10=180
5x+10-10=180-10
5x=170
5x/5=170/5
x=34
Answer:
2nd and 5th options
Step-by-step explanation:
the solution to a system of equations is at the point of intersection of the 2 lines.
If the lines are parallel then they never intersect and will have no solution.
The slopes m of parallel lines are equal.
The options with equal slopes , both - 2 are the
2nd and 5th options
The algebraic expression that represents the total cost would be: A. 1.25r.
<h3>How to Write an Algebraic Expression?</h3>
Given that the number of donuts Rick buys for his family is represented by letter "r", and we also know that:
cost of each donut = $1.25.
Using an algebraic expression, we can create a mathematical expression that shows the total cost for Rick to by a given number of donuts for his family.
Thus:
1 donut = 1.25
r donuts would cost: 1.25 × r = 1.25r.
Therefore, the algebraic expression that represents the total cost would be: A. 1.25r.
Learn more about algebraic expression on:
brainly.com/question/2164351
#SPJ1
Answer: The other number is 100.
Step-by-step explanation:
The least common multiple (LCM) of two numbers is 200
The greatest common denominator (GCD) is 4.
One of the numbers is 8, which is the other number?
Ok:
First, we can write 8 as: 2*2*2 = 2^3 = 2*4
Now, the minimal common denominator can be any number that is written in the form
x = 4*a*b..
where a, b etc are prime numbers.
We also know that
LCD(a,b) = a*b/GCD(a,b)
LCD(8,x) = 8*x/GCD(8, x)
200 = 8*x/4
x = 200*4/8 = 100
the other number is 100.
