Answer:
![x = 1.2](https://tex.z-dn.net/?f=x%20%3D%201.2)
See Attachment for Graph
Step-by-step explanation:
Given
![y = -x + 4](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%204)
![y = 4x - 2](https://tex.z-dn.net/?f=y%20%3D%204x%20-%202)
Required
Determine the point of intersection
To do this, we simply equate both expressions of y
i.e.
![-x + 4 = 4x - 2](https://tex.z-dn.net/?f=-x%20%2B%204%20%3D%204x%20-%202)
Solve for x
![-x - 4x = - 2 - 4](https://tex.z-dn.net/?f=-x%20-%204x%20%3D%20%20-%202%20-%204)
![-5x = -6](https://tex.z-dn.net/?f=-5x%20%3D%20-6)
Divide through by -5
![x = \frac{-6}{-5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-6%7D%7B-5%7D)
![x = \frac{6}{5}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B6%7D%7B5%7D)
![x = 1.2](https://tex.z-dn.net/?f=x%20%3D%201.2)
<em>Hence, the point of intersection is 1.2</em>
What does "the following" mean ?
Where are the choices ?
Answer:
56.25%
Step-by-step explanation:
800 - 350 = 450
1% of 800 = 8 (800 divided by 100)
450 divided by 8 = 56.25
Step-by-step explanation:
Let the two-digit number is ![xy](https://tex.z-dn.net/?f=xy)
<u>This can be written as:</u>
- 10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9
<u>The difference between the number and product of its digits is:</u>
<u>Rewrite this as below:</u>
d = 10x - xy + y - 10 + 10 =
x(10 - y) - (10 - y) + 10 =
(x - 1)(10 - y) + 10
<u>We see that:</u>
- 0 ≤ x - 1 ≤ 8 according to the condition given above
- 1 ≤ 10 - y ≤ 10 again according to the condition given above
<u>The value of d is then:</u>
- 0 + 10 ≤ d ≤ 8*10 + 10
- 10 ≤ d ≤ 90
<h3>Proved</h3>