The first term is -43.
Explanation:
an = a + (n - 1)d
a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation
Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5
Subtitute d into the first equation
a + 99 = 56
a = -43
a refers to the first term, hence the first term is -43.
Answer:
$20.70 increase per week!
Step-by-step explanation:
multiply 690 * 0.03 (aka 3%) to get 20.7 which equals $20.70
if you want to know how much she made the next week altogether, add 690 + 20.70 to get $710.70!
The slope is 5/6.
The x-intercept is (6, 0)
The y-intercept is (0, -5)
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
Answer:
y=−2x−9
Step-by-step explanation:
