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:
Use the slope formula and slope-intercept form y
=
m
x
+
b to find the equation. y
=
−
x
+
4
Answer:
$12
Step-by-step explanation:
amount of tax = $0.72
percent of tax= 6%
Let the original cost be x
so that
6% of x= 0.72
solve for x
6/100*x= 0.72
0.06x= 0.72
divide both sides by 0.06
x= 0.72/0.06
x=$12
Hence the cost is $12
Answer:
D. 
Step-by-step explanation:
we are given

Firstly, it is reflected over x-axis
we know that for reflection about x-axis , we can replace y as -y
we get


now, it is vertical shift up by 4 units
so, we can add 4 to y-value
we get


You decide if it has a pattern if it is a repeating pattern then it is a rational number decimal however if it a decimal with no pattern it is irrational