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:
A. -(a+5)
Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:
-(a+5) * -1 = a+5
B. -(-x+31)
Apply the distributive property:
-(-x+31) becomes (- -x +31) which simplifies to (x+31)
multiply that by -1 to get -x+31
C. -(4x+12)
Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:
-(4x+12) * -1 = 4x+12
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
Answer:-11/32
Step-by-step explanation:
-7/8 - (-17/32)
= -7/8 + 17/32
The highest common factor is 32
= (-7*4+17)/32
= (-28+17)/32
= -11/32
Answer:
A 9 12 and 13
Step-by-step explanation: