The common ratio of the sequence is calculated by dividing the second term by the first term or dividing the third term by the second term. That is,
r = 250 / 333 = 0.75
or r = 187 / 250 = 0.748 = 0.75
To get the next term, we multiply 187 by 0.75 giving us an answer of 140.25 or 141.
A linear equation can be represented by:
y = mx + b
Where m = slope, and b = y intercept.
The slope is a rate of change, so our slope is $150.
The y intercept is the point where the equation crosses the y axis, or the "initial amount" in this case $500.
So our equation will be:
y = 150x + 500.
Answer: (Mayadc821 wrote this anwser check theyre account for more)
Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:
y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m
Now that we have a value for b, we can plug this into the other equation:
8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2
Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:
b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8
Our final equation is y = -2x - 8
Answer:
m1=105⁰, m2=75⁰
Step-by-step explanation:
m2=75⁰
m1+m2=180⁰
m1=180-75=105⁰
