y = −2x + 1
4x + 2y = −1
Replace Y in the second equation with the value of Y in the first one.
4x + 2(-2x +1) = -1
Distributive Property:
4x + -4x + 2 = -1
Combine like terms:
2 = -1 which is not true, so there are no solutions.
Answer:
All Real Numbers
Step-by-step explanation:
Any value of <em>c</em> makes the equation true.
Interval Notation
Answer:
The coefficient of the 2nd term of trinomial is 18.
Step-by-step explanation:
You can expand in a faster way by using the formula, (a+b)² = a²+2ab+b² :
(3x+3)² = (3x)² + 2(3x)(3) + 3²
= 9a² + 18a + 9
OR
You can expand it by doing step by step :
(3x+3)² = (3x+3)(3x+3)
= 3x(3x) + 3x(3) + 3(3x) + 3(3)
= 9x² + 9x + 9x + 9
= 9x² + 18x + 9
Answer:
cost of ribeye steak dinners = $10.36
cost of grilled salmon= $11.581
Step-by-step explanation:
Let the cost of one steak dinners be x
Let the cost of one grilled salmon be y
One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as
12(x)+39(y)= $575.53-------------------------------------(1)
On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as
25(x)+ 13(y)= $582.43-------------------------------------(2)
solving the equation (1) and (2)
eq(1) x 1
eq(2) x 3
-------------------------(3)
Subtracting these equation we get,


x= 10.36
Now substituting this in equation (1)




y=11.581
Answer:
Variance = 24900
Standard Deviation = 157.7973
Step-by-step explanation:
We are given the following in the question:
Number of admissions: 1000 1200 1500
Admissions Probability: 0.6 0.3 0.1
Formula:

Variance =

Thus, the variance is 24900.
Standard Deviation =

Thus, the standard deviation is 157.7973