Answer:
3x-4 = x+10
x = 7
Follow through with the words and then simplify.
The number of natural numbers less than n is n-1.
Natural numbers are whole and positive numbers that are not 0.
If n is 2, there is one natural number less than n... and that is 1.
If n is 5, there are four natural numbers less than n... which are 1, 2, 3, and 4.
Answer:
a = 16/3 or 5 1/3 or 5.33...
Step-by-step explanation:
to find a you must first make all of the denominators the same
you must find 4 6 and 2s CGF
and that is 12
so multiply a/4 by 3/3 and get 3a/12
then multiply 5/6 by 2/2 and get 10/12
and lastly multiply 1/2 by 6/6 and get 6/12
at this point you can set the equation up like this
3a/12 - 10/12 = 6/12
but then you can multiply everything by 12
3a - 10 = 6
and then solve
add 10 to both sides
3a = 16
then divide 3 on each side
a = 16/3 or 5 1/3 or 5.33...
Answer:
-2x³ - 2y² + z⁴
Step-by-step explanation:
Step 1: Write out expression
x³ - 2y² - 3x³ + z⁴
Step 2: Combine like terms (x³)
-2x³ - 2y² + z⁴
Evaluate abs(-4 b - 8) + abs(-b^2 - 1) + 2 b^3 where b = -2:
abs(-4 b - 8) + abs(-b^2 - 1) + 2 b^3 = abs(-4 (-2) - 8) + abs(-1 - (-2)^2) + (-2)^3×2
(-2)^2 = 4:
abs(-4 (-2) - 8) + abs(-4 - 1) + 2×(-2)^3
-4 (-2) = 8:
abs(8 - 8) + abs(-4 - 1) + 2×(-2)^3
8 - 8 = 0:
abs(0) + abs(-1 - 4) + 2×(-2)^3
-1 - 4 = -5:
abs(0) + abs(-5) + 2×(-2)^3
(-2)^3 = (-1)^3×2^3 = -2^3:
abs(0) + abs(-5) + 2×-2^3
2^3 = 2×2^2:
abs(0) + abs(-5) + 2 (-2×2^2)
2^2 = 4:
abs(0) + abs(-5) + 2 (-2×4)
2×4 = 8:
abs(0) + abs(-5) + 2 (-8)
Since 0 is at the origin, then abs(0) = 0:
abs(-5) - 8×2
Since -5<=0, then abs(-5) = 5:
5 - 8×2
2 (-8) = -16:
-16 + 5
5 - 16 = -11:
Answer: -11
