Answer: x = 4 , y = -3
Step-by-step explanation:
Going by the Cramer's rule , we first determine the determinant by dealing with only the coefficients of x and y in the 2 x 2 matrix.
2x - 3y = 17
5x + 4y = 8
2 -3
5 4, going by the rule now, we now have
(2 x 4) - (5 x -3)
8 + 15
= 23.
Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.
17 -3
8 4
---------------
2 -3
5 4
( 17 x 4 ) - ( 8 x -3 )
---------------------------
23
= 68 + 24
------------
23
= 92/23
= 4.
x = 4
Now to find y, just repeat the process by replacing the coefficient of y with the constants.
2 17
5 8
-----------
2 -3
5 4
( 2 x 8 ) - ( 5 x 17 )
-----------------------
23
16 - 85
---------
23
= -69/23
= -3
y = -3.
check
substitute for the values in any of the equations above.
2(4) - 3(-3)
8 + 9
= 17
Answer:
$ 68
Step-by-step explanation:
Let original value of a single share to be $ x
For 17 shares, total value of shares will be $17x
After a decrease of $4 per share, new value of a share will be $ x-4
For 17 shares, total value of shares after decrease will be $ 17(x-4) = 17x-68
Total change in the value of her stock will be ; value of shares before decrease-value of shares after decrease
= 17x-(17x-68)
=17x-17x+68
=68
80,000 pounds is bigger than 9 tons. If you convert 80,000 pounds to tons, it will be equal to 40 tons.
<em>Hope it helps</em>
D.68
A squared plus b squared equals c squared and so add the two lengths given and square them which gives you the hypotenuse squared so then find the square root of your result which is 68
Answer:
Twelve tickets cost $30 --> True
Thirty tickets cost $12 --> False
Each additional costs $2.50 --> True
The table is a partial rep --> True
ordered pairs --> False
Step-by-step explanation:
Twelve tickets cost $30 --> True, you can literally see that in the table
Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.
Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.
The table is a partial rep --> True, values below 11 are not shown for example.
ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.
