Part 1
Answer: -9
---------------------------
Explanation:
Let's focus on evaluating first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5
This means f(5) = 13 and The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.
<em>We can replace all of </em>
<em> </em>
<em> with 5 to go from </em>
<em> to </em>
<em> </em>
<em>Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9.</em>
<em>So f(-9) = 5 and </em>
<em>Overall, </em>
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Part 2
Answer: -13
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Explanation:
Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13
<em>This means f(-13) = 8 and </em>
Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
Let L and H represent length and height, respectively.
.. 20 ft = (4/5)*L
.. L = (5/4)*(20 ft) = 25 ft . . . . . . . . multiply by the reciprocal of the coefficient of L
.. H = (2/9)*(L +20 ft)
.. = (2/9)*(25 ft +20 ft))
.. = (2/9)*(45 ft) = 10 ft
The volume is the product of length, width, and height.
.. V = (25 ft)*(20 ft)*(10 ft) = 5000 ft^3
Answer:
A. 36 degrees
Step-by-step explanation:
180 is for straight lines,
180-79-68
= 36 degrees
The answer is 8.
If you use the order of operations you will multiply the 5 and the 3 first and get:
Then you add the numerators to get
which would equal 8 since you divide the numerator by the denominator
