Answer:
6
Step-by-step explanation:
10
-6
=6
Answer:
The equation x = y-8
The equation (y-8) y = 240
The first number x = 12 and second number y =20
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step(l)</u>:-
Let 'x' be the first number and 'y' be the second number
Given the product of two numbers is 240
Given data x y = 240 …(l)
Given data the first number is 8 less than the second number.
x = y-8...(ll)
Substitute (ll) in equation (l) , we get
(y-8) y = 240
![y^{2} -8y -240 =0](https://tex.z-dn.net/?f=y%5E%7B2%7D%20-8y%20-240%20%3D0)
![y^{2} -20y+12y -240 =0](https://tex.z-dn.net/?f=y%5E%7B2%7D%20-20y%2B12y%20-240%20%3D0)
![y(y -20)+12(y -20) =0](https://tex.z-dn.net/?f=y%28y%20-20%29%2B12%28y%20-20%29%20%3D0)
![(y +12)(y -20) =0](https://tex.z-dn.net/?f=%28y%20%2B12%29%28y%20-20%29%20%3D0)
y = -12 and y = 20
Y= -12 is not satisfied
we can choose y = 20
<u>Step(ll):</u>-
Given data x =y-8
substitute value y = 20 in x = y -8
x = 20-8 = 12
<u>Final answer</u>:-
The first number x = 12 and second number y =20
11.9 gallons. Hope I helped!
Answer:
Factor this polynomial:
F(x)=x^3-x^2-4x+4
Try to find the rational roots. If p/q is a root (p and q having no factors in common), then p must divide 4 and q must divide 1 (the coefficient of x^3).
The rational roots can thuis be +/1, +/2 and +/4. If you insert these values you find that the roots are at
x = 1, x = 2 and x = -2. This means that
x^3-x^2-4x+4 = A(x - 1)(x - 2)(x + 2)
A = 1, as you can see from equation the coefficient of x^3 on both sides.
Typo:
The rational roots can be
+/-1, +/-2 and +/-4
Step-by-step explanation: