Answer:
The required linear function is: f(x) = ![$ \frac{-5}{3}x + \frac{37}{3} $](https://tex.z-dn.net/?f=%24%20%5Cfrac%7B-5%7D%7B3%7Dx%20%2B%20%5Cfrac%7B37%7D%7B3%7D%20%24)
Step-by-step explanation:
We are given that f(x) is a linear function and it takes the value 9 when x = 2 and 14 when x = -1.
Now the general form of any linear function is: f(x) = ax + b.
Substituting these values in the general form we get:
f(2) = 9 = 2a + b
f(-1) = 14 = -a + b
Solving these two equations we get:
b = 37/3
Substituting this in the second equation to find 'a'.
a = -5/3
Therefore, the function f(x) =
x +
.
Answer:
yes
Step-by-step explanation:
lol how old are you
solving the polynomial
we get the value -16
Step-by-step explanation:
We need to find the value of polynomial ![3xy+7x^2-3x^2y+3y^2x-2x^2-2xy+4x^2y-2y^2x\,\,when\,\,x=1\,\,and\,\,y=-2](https://tex.z-dn.net/?f=3xy%2B7x%5E2-3x%5E2y%2B3y%5E2x-2x%5E2-2xy%2B4x%5E2y-2y%5E2x%5C%2C%5C%2Cwhen%5C%2C%5C%2Cx%3D1%5C%2C%5C%2Cand%5C%2C%5C%2Cy%3D-2)
Putting value of x as 1 and y=-2 and finding the value of polynomial.
![3xy+7x^2-3x^2y+3y^2x-2x^2-2xy+4x^2y-2y^2x\\=3(1)(-2)+7(1)^2(-2)-3(1)^2(-2)+3(-2)^2(1)-2(1)^2-2(1)(-2)+4(1)^2(-2)-2(-2)^2(1)\\=3(-2)+7(-2)-3(-2)+3(4)-2+4-8-2(4)\\=-6-14+6+12-2+4-8-8\\=-16](https://tex.z-dn.net/?f=3xy%2B7x%5E2-3x%5E2y%2B3y%5E2x-2x%5E2-2xy%2B4x%5E2y-2y%5E2x%5C%5C%3D3%281%29%28-2%29%2B7%281%29%5E2%28-2%29-3%281%29%5E2%28-2%29%2B3%28-2%29%5E2%281%29-2%281%29%5E2-2%281%29%28-2%29%2B4%281%29%5E2%28-2%29-2%28-2%29%5E2%281%29%5C%5C%3D3%28-2%29%2B7%28-2%29-3%28-2%29%2B3%284%29-2%2B4-8-2%284%29%5C%5C%3D-6-14%2B6%2B12-2%2B4-8-8%5C%5C%3D-16)
So, solving the polynomial
we get the value -16
Keywords: Solving polynomials
Learn more about Solving polynomials at:
#learnwithBrainly
5/9
5 times 4= 20
12 times 3=36
20/36=5/9
2/9 goes into 8/9 4 times, so it can be broken up 4 times.