Answer:
y = 2x + 1
Step-by-step explanation:
1. Find the slope; (change in y values)/(change in x values)
Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2
2. Find the y-intercept (b) using the slope intercept formula: y = mx + b
m = 2 and using point (1, 3) , solve for "b"
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
3. Write the linear equation: y = 2x + 1
From 100 to 80 is 8/10, so the recursive formula is
an=a(n-1)*1/8
or
an= a1*1/8(n-1)
an=a1*(n-1)/8
Answer:
z=-21
Step-by-step explanation: (9-3)/2=(6+z)/5
We move all terms to the left:
(9-3)/2-((6+z)/5)=0
We add all the numbers together, and all the variables
-((z+6)/5)+6/2=0
We add all the numbers together, and all the variables
-((z+6)/5)+3=0
We multiply all the terms by the denominator
-((z+6)+3*5)=0
We calculate terms in parentheses: -((z+6)+3*5), so:
(z+6)+3*5
We add all the numbers together, and all the variables
(z+6)+15
We get rid of parentheses
z+6+15
We add all the numbers together, and all the variables
z+21
Back to the equation:
-(z+21)
We get rid of parentheses
-z-21=0
We add all the numbers together, and all the variables
-1z-21=0
We move all terms containing z to the left, all other terms to the right
-z=21
z=21/-1
z=-21
Answer:
Step-by-step explanation: 40
