Answer:
A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Step-by-step explanation:
Here f(x) represents the y axis.
The value of f(x) is negative over the intervals (-∞, -0.7) and (0.76, 2.5).
You can see in the graph f(x) below 0.
Therefore, the answer is A) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)
Hope this will helpful.
Thank you.
Answer:
a) Observe that
![G=\left[\begin{array}{ccc}2&6\\4&0\end{array}\right] =2\left[\begin{array}{ccc}1&3\\2&0\end{array}\right] =2F](https://tex.z-dn.net/?f=G%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%266%5C%5C4%260%5Cend%7Barray%7D%5Cright%5D%20%3D2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%263%5C%5C2%260%5Cend%7Barray%7D%5Cright%5D%20%3D2F)
Then, 
b) The zero matrix satisfies that for every matrix B such that the product is well defined, 
Since the matrix G is the zero matrix then 
c) The identity(Id) matrix satisfies that for that for every matrix B such that the product is well defined Id*B=B=B*Id. Observe that G is the identity matrix, then FG=F*Id=F=Id*F=GF
d) Observe that
.
Then 
<span>1. mileage Per gallon of Mrs. Mouths car = no. of miles / no. of gallons
= 360 / 25 = 14.4 miles per gallon
</span>2. mileage Per gallon of Mr. brains car = no. of miles / no. of gallons
= 480 / 32 = 15.0 miles per gallon
3. Mr. brains car has better mileage per gallon than Mrs. Mouths car.