Answer:
Solution given:
length[l]=3x+7
breadth [b]=2x+3
we have
area of rectangle=l×b=(3x+7)(2x+3)
=6x²+14x+9x+21=6x²+23x+21 units ²
The answer is the top right one since the total $96.35 is on the deposit side.
Answer:
The average value of the function 
over the interval ![[-1,4]](https://tex.z-dn.net/?f=%5B-1%2C4%5D)
is 
.
Step-by-step explanation:
The average value of a function over an interval is represented by this integral:
Where:
, 
- Lower and upper bounds of the interval, dimensionless.
- Function, dimensionless.
If 
, 
and , the average value of the function is:
![\bar y = \frac{6}{5}\cdot [4-(-1)]- \frac{1}{15}\cdot [4^{3}-(-1)^{3}]](https://tex.z-dn.net/?f=%5Cbar%20y%20%3D%20%5Cfrac%7B6%7D%7B5%7D%5Ccdot%20%5B4-%28-1%29%5D-%20%5Cfrac%7B1%7D%7B15%7D%5Ccdot%20%5B4%5E%7B3%7D-%28-1%29%5E%7B3%7D%5D)
The average value of the function over the interval is .
Slope intercept form is y = -2x + 14
Step-by-step explanation:
- Step 1: The original equation is 4x + 2y = 14.
- Step 2: Rearrange so that x is first in the right hand side of the equation.
⇒ 2y = - 4x + 14
- Step 3: Subtract 4x from both sides of the equation.
⇒ 2y = 14 - 4x
- Step 4: Divide both sides of the equation by 2 so that coefficient of y is 1.
⇒ y = - 2x + 7
This is the slope intercept form y = mx + b
