Answer:
(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product
(b) 
Step-by-step explanation:
Given
The attached table
Solving (a): The rule of the table in words
First, we calculate the slope (m)
Using:
So, we have:
The equation is calculated using:
Using:
We have:
Make y the subject
Hence, the rule is:
Multiply the input (x) by 2 and add 5 to the result of the product
(b): The rule, in algebra
As solved in (a), the rule is:
= 7√(2x) + 2x
or
= 2x + 7√(2x)
answer is A. 2x + 7√(2x)
Answer:
x=12.5
Step-by-step explanation:
2x-25=0
Move 25 to the right with addition so you get the 2x by itself:
2x=25
Now divide the 2 to the right to get the x by itself:
x=25/2, which is the same as x=12.5
Answer: 1=4
2=21
3=20
4=24
5=14
6=9
7=6
8=15
9=5
10=0.033333333
Step-by-step explanation:
Answer:
1 3/25 m2.
Step-by-step explanation:
Let the portion of the wall painted by Jiaqi, Gwen and Patricia be denoted as X, Y and Z respectively.
Jiaqi (X):
= 4/7
Gwen (Y):
=1/2*(1 - 4/7)
= 1/2*(3/7).
= 3/14.
Patricia (Z):
=1/2*(1 - 4/7)
= 1/2*(3/7).
= 3/14.
Area of the wall painted:
Let the area of the wall painted by Gwen and Patricia be Y + Z.
The area painted by Jiaqi = 2/5 + Y + Z
Therefore,
4/7 = 2/5 + Y + Z
The ratio of portions painted by:
Jiaqi : Gwen : Patricia : Total
4 : 3/2 : 3/2 : 7
Multiple by 2,
8 : 3 : 3 : 14
= (X - (Y + Z))
8 – 3 = 5,
but, 5 units = 2/5,
Total units, 14 units = 28/25
= 1 3/25
1 3/25 m2.
