Answer:
<em>Correct choice: B</em>
Step-by-step explanation:
<u>System of non-linear equations</u>
It's given the following system of equations:
![y=x^2+3x+5](https://tex.z-dn.net/?f=y%3Dx%5E2%2B3x%2B5)
![y=x+13](https://tex.z-dn.net/?f=y%3Dx%2B13)
We'll use the substitution method. Substituting y from the first equation into the second equation, we have:
![x^2+3x+5=x+13](https://tex.z-dn.net/?f=x%5E2%2B3x%2B5%3Dx%2B13)
Moving all terms to the left side:
![x^2+3x+5-x-13=0](https://tex.z-dn.net/?f=x%5E2%2B3x%2B5-x-13%3D0)
Simplifying:
![x^2+2x-8=0](https://tex.z-dn.net/?f=x%5E2%2B2x-8%3D0)
Factoring:
![(x+4)(x-2)=0](https://tex.z-dn.net/?f=%28x%2B4%29%28x-2%29%3D0)
There are two solutions:
x=-4, x=2
The first solution gives a value for y:
y=-4+13=9
First solution: (-4,9)
The second solution gives a value for y:
y=2+13=15
Second solution: (2,15)
Correct choice: B
The original price is $70
Answer: 3,000
Step-by-step explanation:
50 * 60 = 3,000
Answer:
repeat
Step-by-step explanation:
3 divided by 9is 0.333333333333333333333333333333
Answer:
16/63
Step-by-step explanation:
8/9 * 2/7
Multiply the numerators
8*2 = 16
Multiply the denominators
9*7 = 63
Put the numerator over the denominator
16/63