Answer:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%263%261%5C%5C-5%265%263%5Cend%7Barray%7D%5Cright%5D)
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%260%261%5C%5C-5%26-4%263%5Cend%7Barray%7D%5Cright%5D)
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.
The answer is 30 , hope this helps
Answer:4/21
Step-by-step explanation:divide 6 by both sides
For any quadratic functions, ax² + bx + c, we can easily find the x-coordinate of its vertex through the use of the formula below.
where a and b are the coefficients of the function. For f(x), we have a = -1 and b = -16. Thus, we have
Since we now have the x-coordinate of the vertex, we can just easily substitute 8 into f(x) as shown below.
Thus, the
vertex of f(x) is (8, 60). The vertex of the function shows the maximum value that the function can reach. For this particular case, the vertex represents the
maximum profit that the shop owner could earn.The x-intercepts of the function are the values of x when f(x) is zero. By equation f(x) with zero, we can solve the quadratic equation to find the x-intercepts as shown below.
From this, we can see that the x-intercepts are
(6, 0) and (10, 0). We just discussed that the x-intercepts are the values of x when y is zero. So, for this case it means that the shop does not earn a profit if they sell 6 or 10 candles. Basically, the x-intercepts represent the
number candles sold if the shop wants to break even.
The value of x, the length of the diagonal, to the nearest whole number is 5
To get the value of x from the given diagram, we will use the cosine rule as shown:
c² = a² + b² - 2ab cos Ф
From the given diagram;
a = 6
b = 4
Ф = 55 degrees
Substitute into the formula
c² = 6² + 4² - 2(4)(6)cos 55
c² = 36 + 16 - 48cos55
c² = 52 - 27.53
c² = 24.4
c = 4.94
c = 5 (to the nearest while number).
The value of x, the length of the diagonal, to the nearest whole number is 5
Learn more on cosine rule here: brainly.com/question/7872492
