Answer:
-z( 2z^3-5z^2+9z-1)
Step-by-step explanation:
Apply exponent rule: a^b+c=a^b*a^c
z^2=zz
z^3=z^2*z
z^4=z^3*z
Factor out common term z:
-z(2z^3-5z^2+9z-1)
Answer:
3(10)-7
Step-by-step explanation:
3(10)-7
Answer:
$40
Step-by-step explanation:
Let the amount of money she has at first be $x.
She put 1/4 for savings, this means she decides to spend 3/4. The 3/4 is equivalent to (3/4)x
Now, she puts half of the money not saved to pay back her sister and has $15 left.
This means the (3/4)x is equivalent to $30. This is because she used half which is $15 to pay back her sister.
Now, since (3/4)x equals 30, we calculate x
(0.75)x = 30
x = 30/0.75 = $40
She originally had $40
Answer:
x-30
Step-by-step explanation:
Firstly, you do the first step, which is, 3x-18+4x+12-6x, then you continue simplifying it: 7x-18+12-6x.
Keep it on and on, the next step: x-18+12, add 18 and 12 together you get 30.
So the final answer is x-30
The answer is <span>a. T(n+1)=1/2n^2+3/2n+1
</span>
T(n) = 1/2n² + 1/2n = 1/2(n² + n)
T(n + 1) = 1/2((n+1)² + (n+1))
(a + b)² = a² + 2ab + b²
(n + 1)² = n² + 2n + 1
T(n + 1) = 1/2(n² + 2n + 1 + n + 1) =
= 1/2(n² + 3n + 2) =
= 1/2n² + 3/2n + 1
