Answer: Answers are in the steps read carefully!
Step-by-step explanation:
A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7. The numbers -1 and -6 works out because -6 times -1 is 6 and -6 plus -1 is -7.
Now rewrite the polynomial as
3x^2 - 1x - 6x + 2 Now group it
(3x^2 - 1x) (-6x+2) Factor it by groups
x (3x -1) -2(3x -1) Now factor out 3x-1
(3x -1) (x-2) Done!
B) 2x^2 - x -3 Now the same way.You will have two numbers that their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient 2 by the constant -3. The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.
Rewrite the polynomial as
2x^2 +2x - 3x -3 GRoup them and factor them
(2x^2 + 2x) (-3x-3)
2x(x+1) -3(x+1) Factor out x+1
(x+1) (2x -3) Done!
C) 3x^2 - 16x - 12 Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.
Rewrite the polynomial
3x^2 +2x -18x - 12 GRoup them
(3x^2 + 2x) (-18x - 12) Factor them
x (3x +2) -6(3x +2) Factor out 3x+2
(3x+2) (x -6) Done !
Answer:
It costs $42.43
Step-by-step explanation:
Lets explain how to solve the problem
- The cost of
kilogram of candy is $7.5
- We need to find the cost of
kilogram
We can use the ratio to find the answer
======= Dollar : Kilogram
======= 7.5 : 
======= c :
By using cross multiplication
∴ c ×
= 7.5 × 
∵
= 
∴
= 
∴ c ×
= 7.5 × 
∴ c ×
= 
Divide both sides by 
∴ c =
÷ 
Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∴ c =
×
∴ c =
= 42.43 dollars
∵ c represents the cost of
kg
∴ It costs $42.43
Answer: 10
Step-by-step explanation:
50 divided by 10 is 5
10%=5
20%=10
-2.77x - 11.4. Is the answer to your question
So work =time times rate or W=TR
so T=m-k
W=(m-k)R
if you want just m-k then m-k is the answer