I think your answer would be 3/2
Answer:
5b=2f
Step-by-step explanation:
Priya uses
cups of floor to make 3 loaves of banana bread.
Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
To find the relation between b and f, the steps are as follows :
![\dfrac{\text{cups of flour}}{\text{loaves of banana bread}}=\dfrac{7 \dfrac{1}{2}}{3}\\\\=\dfrac{\dfrac{15}{2}}{3}\\\\=\dfrac{15}{2}\times \dfrac{1}{3}\\\\=\dfrac{5}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Bcups%20of%20flour%7D%7D%7B%5Ctext%7Bloaves%20of%20banana%20bread%7D%7D%3D%5Cdfrac%7B7%20%5Cdfrac%7B1%7D%7B2%7D%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cdfrac%7B15%7D%7B2%7D%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B15%7D%7B2%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B2%7D)
It means,
![\dfrac{f}{b}=\dfrac{5}{2}\\\\5b=2f](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%7D%7Bb%7D%3D%5Cdfrac%7B5%7D%7B2%7D%5C%5C%5C%5C5b%3D2f)
So, the relationship between b and f is "5b=2f".
Answer:
(7x+6y) is a binomial factor of the given expression ![49x^2+84xy+36y^2](https://tex.z-dn.net/?f=49x%5E2%2B84xy%2B36y%5E2)
Therefore ![49x^2+84xy+36y^2=(7x+6y)(7x+6y)](https://tex.z-dn.net/?f=49x%5E2%2B84xy%2B36y%5E2%3D%287x%2B6y%29%287x%2B6y%29)
Step-by-step explanation:
Given expression is ![49x^2+84xy+36y^2](https://tex.z-dn.net/?f=49x%5E2%2B84xy%2B36y%5E2)
To find the binomial factor :
![49x^2+84xy+36y^2](https://tex.z-dn.net/?f=49x%5E2%2B84xy%2B36y%5E2)
Rewritting the above expression as
![=7^2x^2+2(7)(6)xy+6^2y^2](https://tex.z-dn.net/?f=%3D7%5E2x%5E2%2B2%287%29%286%29xy%2B6%5E2y%5E2)
![=(7x)^2+2(7x)(6y)+(6y)^2](https://tex.z-dn.net/?f=%3D%287x%29%5E2%2B2%287x%29%286y%29%2B%286y%29%5E2)
( using the formula
here a=7x and y=6y )
( using the formula
)
Therefore ![49x^2+84xy+36y^2=(7x+6y)(7x+6y)](https://tex.z-dn.net/?f=49x%5E2%2B84xy%2B36y%5E2%3D%287x%2B6y%29%287x%2B6y%29)
(7x+6y) is a binomial factor of the given expression ![49x^2+84xy+36y^2](https://tex.z-dn.net/?f=49x%5E2%2B84xy%2B36y%5E2)