If -5 is a root then f(x) is divisible by x + 5
The quotient from this division is 3x^2 -20x +12
Factoring this:-
= 3x^2 - 18x - 2x + 12
= 3x(x - 6) - 2(x - 6)
= (3x - 2)(x - 6)
So 2 more roots are 2/3 and 6
All the roots are -5 , 2/3 and 6. Answer
Answer:
r=4
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(r+2)=4(2−2r)
Step 1: Simplify both sides of the equation.
−4(r+2)=4(2−2r)
(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)
−4r+−8=8+−8r
−4r−8=−8r+8
Step 2: Add 8r to both sides.
−4r−8+8r=−8r+8+8r
4r−8=8
Step 3: Add 8 to both sides.
4r−8+8=8+8
4r=16
Step 4: Divide both sides by 4.
4r
4
=
16
4
r=4
Answer:
r=4
Answer: The required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Step-by-step explanation: We are given to find the transition matrix from the bases B to B' as given below :
B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.
Let us consider two real numbers a, b such that

Again, let us consider reals c and d such that

Therefore, the transition matrix is given by
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Thus, the required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Answer:
-3
Step-by-step explanation:
Since you are subtracting a negative, it turns positive so it will be.
-4+1
-3
To find the ratio of centimeters to meters you need to divide 66 by 33 to get 2.
Then multiply 2727 by 2 to get 5454.