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.
Answer:
1/18
Step-by-step explanation:
-(-5/9) would turn into a positive 5/9. It cancels its own negative out.
The problem then turns to -1/2+5/9. Find the least common denominator and then combine.
Answer:
3p^2q^3r^2√r
Step-by-step explanation:
3√p^4q^6r^5
= 3p^2q^3r^2√r
Hope that helps
The rate of interest is 75 % per year
<em><u>Solution:</u></em>
Given that, Jamerra received a $3,00 car loan
she plans on paying off the loan in 2 years
<em><u>Jamerra will have paid $450 in interest</u></em>
Therefore, we get
Principal = $ 300
Number of years = 2
Simple Interest = $ 450
Rate of interest = ?
<em><u>The simple interest is given by formula:</u></em>
Where,
"p" is the principal and "n" is the number of years and "r" is the rate of Interest
<em><u>Substituting the given values we get,</u></em>
Thus rate of interest is 75 % per year
Answer:
A-3, B-4, C-1, D-2
Step-by-step explanation:
A:
- 5x-(3x+1)
- Expand, 5x-3x-1
- Combine like terms, 2x-1
B:
- 5x-(-3x-1)
- Expand, 5x+3x+1
- Combine like terms, 8x+1
C:
- -5x-(3x+1)
- Expand, -5x-3x-1
- Combine like terms, -8x-1
D:
- -5x-(-3x-1)
- Expand, -5x+3x+1
- Combine like terms, -2x+1
