Step-by-step explanation:
area of the shaded region
- = (x-3) × (x+5)
- = x^2 + 5x -3x -15
- = x^2 + 2x - 15
If you want to solve the system of equations it will be:
Step 1: solve the equation for y
y= -19+7 → y= -12
Step 2: substitute y into the equation
-2x+3x(-12)=-19
Step 3: solve the equation for x
x= -17/2
Step 5: the possible solution is the order pair (x,y)
Answer: (-17/2 , -12)
Answer:
Start at -1 and go down 3 right 4,repeat. Then up 3 left 4 from -1, repeat.
Step-by-step explanation:
<h2>
Option B is the correct answer.</h2>
Step-by-step explanation:
We need to find average value of
in [2,4]
Area of
in [2,4] is given by
![\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B4%7De%5E%7B2x%7Ddx%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cleft%20%5B%20e%5E%7B2x%7D%5Cright%20%5D%5E4_2%5C%5C%5C%5C%5Cint_%7B2%7D%5E%7B4%7De%5E%7B2x%7Ddx%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%28e%5E8-e%5E4%29%3D1463.18)
Area of
in [2,4] = 1463.18
Difference = 4 - 2 = 2
Average value = Area of
in [2,4] ÷ Difference
Average value = 1463.18 ÷ 2
Average value = 731.59
Option B is the correct answer.