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
Answer: 7hours≥t
Given the data, the following inequality can be made.
90.90≥37+7.70t
subtract 37 from both sides
53.90≥7.70t
divide both sides by 7.70
7hours≥t
The meeting room can be rented for no more than 7 hours.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
We have one point at (-5,-1) and there is another point at (1,-5)
The slope is
m= (y2-y1)/(x2-x1)
= (-5--1)/(1--5)
= (-5+1)/(1+5)
= -4/6
=-2/3
The point slope form of the equation is
y-y1 = m(x-x1)
y--1 = -2/3(x--5)
y+1 =-2/3( x+5)
Distribute
y+1 = -2/3 x -10/3
Subtract 1 from each side
y +1-1 = -2/3 x -10/3 -1
Get a common denominator
y = -2/3 x -10/3 -3/3
y = -2/3 x - 13/3
Answer:
15°
Step-by-step explanation:
Answer:
Let us consider the expression:
(1)
Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign
And adding if powers are with opposite sign.
We will solve equation (1) by this quotient of power rule.
So, it can be rewritten as:
.
