Answer:
y=2x+5
Step-by-step explanation:
To find a linear equation you must find the slope and y intercept to create an equation in y=mx+b form (slope-intercept form)
So slope is = y2-y1 / x2-x1 [2 and 1 are subscripts] so 11-7/3-1 so m=4/2 = 2
Slope = 2, now find b
So using y = mx + b, substitute what you know so 7 = 2(1) + b so b=7-2 = 5
Put it all together y = 2x + 5
Answer:
D) 1980 to 2000
Step-by-step explanation:
Finding the average rate of change in each interval to determine the greatest one.
Production per interval
1950-1960 = 
= 10 million
1960-1970 = 
= 20 million
1970-1980 = 
= 30 million
1980-2000 = 
million
Rate of change (1950-1960)= 
Rate of change (1960-1970) = 
Rate of change (1970-1980)= 
Rate of change (1980-2000)= 
∴ rate of change between 1980 to 2000 is 126.78%
Cramer's Rule is a method that uses determinants to solve systems of equations that have the same number of equations as variables
Answer:
0.83
Step-by-step explanation:
The $500 price increase over this 12 year span results in the inflation rate:
$500
---------- = 0.83..., or 0.83 to the nearest hundredth (equivalent to 83%)
$600
Simplifying
15 + -5(4x + -7) = 50
Reorder the terms:
15 + -5(-7 + 4x) = 50
15 + (-7 * -5 + 4x * -5) = 50
15 + (35 + -20x) = 50
Combine like terms: 15 + 35 = 50
50 + -20x = 50
Add '-50' to each side of the equation.
50 + -50 + -20x = 50 + -50
Combine like terms: 50 + -50 = 0
0 + -20x = 50 + -50
-20x = 50 + -50
Combine like terms: 50 + -50 = 0
-20x = 0
Solving
-20x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-20'.
x = 0.0
Simplifying
x = 0.0
