Answer: 184
Step-by-step explanation:
The nth term of am arithmetic sequence is calculated as:
Nth term= a+(n-1)d
where a = first term
d = common difference
a = -10
d = -8 -(-10) = -8+10 = 2
98th term= a+(n-1)d
= -10 + (98-1)(2)
= -10 + (97×2)
= -10 + 194
= 184
The 98th term of the arithmetic sequence is 184
The linear equation in its generic form is:
y-yo = m (x-xo)
In this case we have that the slope is:
m = 300
The ordered pair is:
(xo, yo) = (2, 1400)
Substituting we have:
y-1400 = -300 (x-2)
Rewriting:
y = -300x + 600 + 1400
y = -300x + 2000
Answer:
a linear function that models this scenario is:
y = -300x + 2000
The slope of the line is:
-300
The y-intercept of the line is:
2000
Answer:
the answer is anything less than 24
Step-by-step explanation:
Answer:
y = - 3x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 3 ← is in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (3, 2) into the partial equation
2 = - 9 + c ⇒ c = 2 + 9 = 11
y = - 3x + 11 ← equation of perpendicular line