When solving these proportions we just remember when moving a number from one side to the other if it started in the numerator it ends up in the denominator and vice versa.
I'll do it in two steps here for teaching purposes; it's not too hard to go directly to the answer.
Answer:
11
Step-by-step explanation:
Answer:
n = 26 2/3
Step-by-step explanation:
Step 1: Cross-multiply.
Step 2: Divide both sides by 1.2
Therefore, the answer is n = 26 2/3.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
g(1) = -65; g(n) = g(n-1) -15
Step-by-step explanation:
Using n = 1, 2, 3, we can find the first three terms of the sequence:
g(1) = -50 -15 = -65
g(2) = -50 -15(2) = -80
g(3) = -50 -15(3) = -95
The first term of the arithmetic sequence is -65, so that is g(1). Each next term is 15 less than the one before, so the recursive formula is ...
g(n) = g(n-1) -15
The complete recursive function definition requires both parts:
g(1) = -65
g(n) = g(n-1) -15
A) because when they are equal it means that their y has the same value, which means their intersection point.
B) You should take all integers from (-2, 2) which are: -2, -1, 0, 1, 2 and put them one by one in the example:
x = -2
y1 = 4^-(-2) = 4^2 = 16
y2 = 2^(-(-2) + 1) = 2^(2+1) = 2^3 = 8
y1 ≠ y2 => so x=-2 isn't our answer
-------------------------------------------------------
x = -1
y1 = 4^-(-1) = 4^1 = 4
y2 = 2^(-(-1) + 1) = 2^(1+1) = 2^2 = 4
y1 = y2 => so our answer will be x = -1
-------------------------------------------------------
x = 0
y1 = 4^-(0) = 4^0 = 1
y2 = 2^(-(0) + 1) = 2^(0+1) = 2^1 = 2
y1 ≠ y2 => so x=0 isn't our answer
--------------------------------------------------------------
x = 1
y1 = 4^-(1) = 4^(-1) = 1/4
y2 = 2^(-(1) + 1) = 2^(-1+1) = 2^0 = 1
y1 ≠ y2 => so x=1 isn't our answer
--------------------------------------------------------------
x = 2
y1 = 4^-(2) = 4^(-2) = 1/16
y2 = 2^(-(2) + 1) = 2^(-2+1) = 2^(-1) = 1/2
y1 ≠ y2 => so x=2 isn't our answer
Which means that our final answer is: x=-1
C) You should draw both graphics, and their intersection point (x) will be the answer.
I hope it helped.
