Answer:
9p−18
Step-by-step explanation:
Expand by distributing terms
(−9×2 ) (−9×−p)
Simplify −18−9×−p
Regroup terms
−18−(−9p)
Remove parentheses
1344 ft^2
From the picture we can see that 4w = 3l, which means that l = (4/3)w. Since w = 12 ft, l = (4/3)(12 ft) = 16 ft. Then the total area of the floor is
(length of floor)(width of floor) = (48 ft)(12 ft + 16 ft) = 1344 ft^2
The equation you can use to solve the problem is;
50/30 = 300/x
Next Cross Multiply
50x = 9000
x = 9000/50
x = 180
The building's shadow is 180 feet tall
Slope of the function is ,Y-intercept .
The function is with initial value,Jordan puts each week andthe amount saved by Jordan after week .
To understand the slope and y-intercept lets assign as number of weeks and as the money saved by Jordan.
Jordan is already having a sum of inside the money bank so in week the amount is can be written as in coordinate form.
SImilarly
We have and
Part A:
The function is
From point-slope form,we have slope (m)
and ,plugging the values of the points.
Y-intercept of this function is the constant term or the money of that is already inside the money bank.
We can also calculate y-intercept by arranging the function as choosing any coordinate and here is the y-intercept.
The result will be same.
Part B:
The equation <u></u> can represent the function described.
And the initial value is the <u>y-intercept </u>
Jordan puts<u> </u>in his bank each week.
After week the amount saved by Jordan ,here ,as the x-variable is the number of weeks.
Plugging the value of in where so the equation becomes
So basically the function is and the amount saved by Jordan after week .
The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
The square root of 58 is around 7.6
The entire number is, 7.61577310586...