Answer:
Step-by-step explanation:
To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula
Where the y-intercept is at (0, 40).
Now, we have two points to graph the relation between minutes and Celsius degrees.
Therefore, the room's temperature as a function of time is
Its graph is attached.
Answer:
-3, -2, -1, 0, 1, 2, 3, 4
Step-by-step explanation:
Domain is just a fancy way of saying the x-values anything that is part of the line and is on the x-axis is a domain.
Hope that helps and have a great day!
The slope of a vertical line is undefined.
Step-by-step explanation:
- The slope of a line in graph or any system could be given as the ratio of the change in the y coordinates to change in the x coordinates
- Here, it is given that the vertical line which passes through a single coordinate in the x-axis. There is only one coordinate is available in the x-axis. There are several points is available in the y coordinates.
- Hence, it is defined as undefined because, if the denominator has zero then it becomes undefined.
- Now, it is understood that the reason why the line has given has a slope undefined.
Answer:
Scalar product
Step-by-step explanation:
The scalar product of a matrix refers to the product of a matrix and a number. The scalar is used to multiply each element in the matrix to get the final vector. In the question the scalar is k which is a constant and the matrix is A.
in the example below 2 is the scalar
![2*\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]](https://tex.z-dn.net/?f=2%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%5C7%268%269%5Cend%7Barray%7D%5Cright%5D)
the final matrix will be
![\left[\begin{array}{ccc}2&4&6\\8&10&12\\14&16&18\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%264%266%5C%5C8%2610%2612%5C%5C14%2616%2618%5Cend%7Barray%7D%5Cright%5D)
Answer:
Given points B ( -1 , 3) and C ( 3, 2)
Step-by-step explanation:
Slope can be calculated by using the formula, we have ,
Slope(m)
= (y2 - y1) / ( x2 - x1)
= ( 3 - 2) / (-1 -3)
= 1/-4
= -1/4
