we know that 1 gallon = 4 quarts so...
17 gallons of root beer + 12 gallons of punch = 29 gallons in total
29 gallons ÷ 4 = 7.25 quarts
so she needs 7 bottles of quarts for her 29 total gallons.
Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
Yes, no x values repeated
A line parallel and passing through point (1,5) would be y=-3x+8
To do this you need to know simultaneous equations (which i don’t know if you have learnt it) but this is really hard to explain by words so i hope you can understand by the working out i did