Answer:
-125
Step-by-step explanation:
-1 × 5 = -5
-5 × 5 = -25
-25 × 5 = -125
Answer:
2^-84
Step-by-step explanation:
First simplify inside the parentheses
2^-10 / 4^2
Rewriting 4 as 2^2
2^-10 / 4^2^2
We know that a^b^c = a^(b*c)
2^-10 / 2^(2*2) = 2^-10 / 2^4
We know that a^b / a^c = a^(b-c)
2^-10 / 2^4 = 2^(-10-4) = 2^-14
Replace the term in side the parentheses with 2^-14
2^-14 ^7
We know that a^b^c = a^(b*c)
2^(-14*7)
2^-84
Observing there is a difference of +8 between each f(x).
The slope of this sequence is 8.(y2-y1)/(x2-x1)
Using the point slope equation,
y-y1 = m(x-x1) yields
y = 8x -4 as the answer.
For |a|>b solve for a such that
a>b and a<-b
so
|x|>12
x>12 and x<-12
the values that satisfy the inequality are all numbers except those from -12 to 12 including -12 and 12
in interval notation
(-∞,-12) U (12,∞)
so 13 and 35 and -30 are some values that satify the inequality
Answer:
52 32- cent stamps and 26 13-cent stamps
Step-by-step explanation:
Let x be the 32-cent stamps and y be the 13-cent stamps then...
x=2y
32x+13y=2002 (note that $20.02 is 2002 cents)
We can solve using substitution (substitute 2y for x)
32(2y)+13y=2002
64y+13y=2002
77y=2002
y=26
x=2(26)
x=52
She bought 52 32-cent stamps and 26 13-cent stamps.