Let
![\mathbf u\in\mathbb R^2](https://tex.z-dn.net/?f=%5Cmathbf%20u%5Cin%5Cmathbb%20R%5E2)
, where
![\mathbf u=(u_1,u_2)](https://tex.z-dn.net/?f=%5Cmathbf%20u%3D%28u_1%2Cu_2%29)
and let
![k\in\mathbb R](https://tex.z-dn.net/?f=k%5Cin%5Cmathbb%20R)
be any real constant.
Given this definition of scalar multiplication, we can see right away that there is no identity element
![e](https://tex.z-dn.net/?f=e)
such that
![e\mathbf u=\mathbf u](https://tex.z-dn.net/?f=e%5Cmathbf%20u%3D%5Cmathbf%20u)
because
I can’t really see please text it
Answer:
96 inch²
Step-by-step explanation:
there are 2 shapes,
1. a square
2. a triangle
lets find the area of the square first,
<u>AREA = SIDE × SIDE</u>
= 8 × 8
= 64 inch²
now, area of triangle ,
![area \: = \frac{1}{2} \times base \: \times height \:](https://tex.z-dn.net/?f=area%20%5C%3A%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5C%3A%20%20%5Ctimes%20height%20%5C%3A%20)
![= \frac{1}{2} \times 8 \times 8 \\ = \frac{1}{2} \times 64 \\ = 32 \: {inch}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%208%20%5Ctimes%208%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2064%20%5C%5C%20%20%3D%2032%20%5C%3A%20%20%7Binch%7D%5E%7B2%7D%20)
so, total area is :
area of square + area of triangle
= 64 + 32
= 96 inch²
Using the given functions, it is found that:
- Lower total cost at Jump-n-Play: 40, 64.
- Lower total cost at Bounce house: 28, 8, 30.
- Same total cost at both locations: 32.
<h3>What are the cost functions?</h3>
For n visits to Jump-n-play, the cost is:
J(n) = 189 + 3n.
For n visits to Bounce Word, the cost is:
B(n) = 125 + 5n.
Comparing them, we have that:
![J(n) < B(n)](https://tex.z-dn.net/?f=J%28n%29%20%3C%20B%28n%29)
![189 + 3n < 125 + 5n](https://tex.z-dn.net/?f=189%20%2B%203n%20%3C%20125%20%2B%205n)
![64 < 2n](https://tex.z-dn.net/?f=64%20%3C%202n)
![n > 32](https://tex.z-dn.net/?f=n%20%3E%2032)
Hence:
- For less than 32 visits, the cost at Bounce World is lower.
- For more than 32 visits, the cost at Jump-n-play is lower.
Hence:
- Lower total cost at Jump-n-Play: 40, 64.
- Lower total cost at Bounce house: 28, 8, 30.
- Same total cost at both locations: 32.
More can be learned about functions at brainly.com/question/25537936
3x(4x4 – 5x)
= 12x^5-15x^2