Find the 2nd term in expansion of (4-2x)⁴ Show steps
2 answers:
You might be interested in
Answer:
The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the following form:
y= m*x + b
where
- m is the slope of the function
- n is the ordinate (at the origin) of the function
So, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.
Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:
In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:
- x1= 1990
- y1= 95
- x2= 1999
- y2= 221
So the value of m is:
m= 14
So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:
221= 14*(1999 - 1990) + b
221= 14*9 +b
221= 126 + b
221 - 126= b
95= b
Finally, <u><em>the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95</em></u>
Answer:
Firstly, it is important to note that the multiplication of matrices is done in this way:
Columns x Rows or viceversa
Now, two matrices can be multiplied only if their dimensions are compatible, which means that the number of columns in the first matrix must be equal to the number of rows in the second matrix.
In other words:
Two matrices A and B are said to be multiplies if the number of columns in A coincides with the number of rows in B.
In this context, the correct option is:
Where A is:
And B is:
As you can see, the number of columns in A coincides with the number of rows in B