X*a = 244 is equation (1)
x+a = 2 is equation (2)
Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)
We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x
Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0
If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0
So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here.
If you have learned about complex numbers, then the solution set is approximately
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula
Note: it's possible that there's a typo somewhere in the problem that your teacher gave you.
2x and 7x is the answer of the questions
Answer:
none
Explanation:
Fill in each option for x individually.
I) 9 
-10 - 4(-1)
II) 9 -10 - 4(-3)
III) 9 -10 - 4(-2)
Then, simplify the right side of each inequality.
I) 9 -6
II) 9 2
III) 9 -2
Each of these inequalities are flase. 9 is not less than or equal to any of these values, so the answer is none.
Answer:
Let P represent the number of pies sold and J represent the number of juices sold.
a)
The first equation for the sum of the sales:
P + J = 79
P = 79 - J
Next, for the sum of the amounts earned:
1.65P + 1.36J = 118.17
Substituting P,
1.65 (79 - J) + 1.36J = 118.17
J = 42
Using this value of J,
P = 79 - 42
P = 37
b)
Mr. Sanchez's class earned: 1.65 x 37 = $61.05
Mr. Kelly's class earned: 1.36 x 42 = $57.12
So Mr. Sanchez's class earned more money.
c) Mr. Sanchez's class earned:
61.05 - 57.12
= $3.93 more than Mr. Kelly's class
Step-by-step explanation:
:)
143.17 times 1.35 = 193.28
