Answer:
$5.80
Step-by-step explanation:
butterscotch + milk
butterscotch:
$1/5 = $0.20 x 4 = $0.80
milk:
$1 x 5 = $5
$5 + $0.80 = $5.80
Answer:
(x - 5)² + (y + 7)² = 81
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (5, - 7) and r = 9, thus
(x - 5)² + (y - (- 7))² = 9², that is
(x - 5)² + (y + 7)² = 81 ← equation of circle
<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
<span>Divide 52.4 by 65.5 and multiply by 100. That is the percent of the 52.4 compared to 65.5.
</span>
Equate whats inside (arguments)
with base period of sine function
and solve for x to get period,

So the period of the graph of the given function is precisely 2.
Hope this helps :)