Advanced MathHardWhich point is a solution of a nonlinear system
Advanced Math practice question
Which ordered pair (x, y) satisfies BOTH y = x² − 3 and y = 2x?
- A. (3, 6)Correct
- B. (1, 2)
- C. (2, 1)
- D. (4, 8)
Answer: A. (3, 6)
(3, 6): 9 − 3 = 6 ✓ and 2(3) = 6 ✓. (The other solution is (−1, −2).)
Why the other answers are wrong
- B. (1, 2)
- (1, 2): the line gives 2 ✓ but the parabola gives −2.
- C. (2, 1)
- (2, 1): the parabola gives 1 ✓ but the line gives 4.
- D. (4, 8)
- (4, 8): the line gives 8 ✓ but the parabola gives 13.
More Advanced Math questions
- Hard
A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af… - Hard
How many real solutions does x² + 4x + 5 = 0 have? - Hard
A car worth $20,000 loses 15% of its value each year. What is its value after 2 years? - Hard
An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye… - Hard
If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))? - Hard
The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?
Not affiliated with the College Board. SAT is a trademark of the College Board.