His overall net profit would be $500 dollars because every two weeks he makes $500 so over 4 weeks he would make $1000, but lose $500 to rent.
Answer: makes it a function if it is straight or if no points touch and if it has a constant rate of change
Step-by-step explanation:
Answer:
5(2x - 1)
Step-by-step explanation:
Given
2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis
= 2x - 12 + 8x + 4 + 3 ← collect like terms
= (2x + 8x) + (- 12 + 4 + 3)
= 10x + (- 5)
= 10x - 5 ← factor out 5 from each term
= 5(2x - 1) ← in factored form
Answer:
The surface area of the gift box is = ![A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1188%7D%7B7%7Dx%5E%7B2%7D%2B%20%5Cfrac%7B774%7D%7B7%7Dx%20%2B%5Cfrac%7B132%7D%7B7%7D)
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:
![A=2\pi rh+2\pi r^2](https://tex.z-dn.net/?f=A%3D2%5Cpi%20rh%2B2%5Cpi%20r%5E2)
in this case, r is not a number, but rather an expression, which is r =
.
The height of the gift box is twice the radius, which is h = ![2(3x+1)= 6x+2](https://tex.z-dn.net/?f=2%283x%2B1%29%3D%206x%2B2)
To get our curved surface area, we carefully put the expressions for h and r into the equation.
![A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}](https://tex.z-dn.net/?f=A%20%3D%202%20%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%20%283x%2B1%29%20%5Ctimes%20%286x%2B2%29%20%2B%202%20%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%20%5Ctimes%20%283x%2B1%29%5E%7B2%7D)
![A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B44%7D%7B7%7D%20%283x%2B1%29%20%5Ctimes%20%286x%20%2B2%29%20%2B%20%5Cfrac%7B44%7D%7B7%7D%20%289x%5E%7B2%7D%20%2B%206x%20%2B1%29%5C%5CA%20%3D%5Cfrac%7B132%7D%7B7%7Dx%20%2B%20%5Cfrac%7B44%7D%7B7%7D%20%5Ctimes%20%286x%2B2%29%2B%20%5Cfrac%7B396%7D%7B7%7Dx%5E%7B2%7D%2B%5Cfrac%7B246%7D%7B7%7Dx%20%2B%5Cfrac%7B44%7D%7B7%7D)
![A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B792%7D%7B7%7Dx%5E%7B2%7D%20%2B%5Cfrac%7B264%7D%7B7%7Dx%20%2B%5Cfrac%7B264%7D%7B7%7Dx%20%2B%20%5Cfrac%7B88%7D%7B7%7D%20%2B%20%5Cfrac%7B396%7D%7B7%7Dx%5E%7B2%7D%20%2B%20%5Cfrac%7B246%7D%7B7%7Dx%20%2B%20%5Cfrac%7B44%7D%7B7%7D)
![A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1188%7D%7B7%7Dx%5E%7B2%7D%2B%20%5Cfrac%7B774%7D%7B7%7Dx%20%2B%5Cfrac%7B132%7D%7B7%7D)
The surface area of the gift box is = ![A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1188%7D%7B7%7Dx%5E%7B2%7D%2B%20%5Cfrac%7B774%7D%7B7%7Dx%20%2B%5Cfrac%7B132%7D%7B7%7D)
Answer:
5
Step-by-step explanation: