Solve the following system of equations algebraically:
y = x2 - 6x + 9
y = -9x + 19
1 answer:
{(-5,64), (2,1)} linear equation: y = -9x + 19 quadratic equation: y = x² - 6x + 9 Substitute the y in the quadratic equation by the its value in the linear equation. -9x + 19 = x² - 6x + 9 - 19 - 19 *subtract 19 to both sides -9x = x² - 6x -10 +9x + 9x *add 9x to both sides 0 = x² + 3x - 10 0 = (x + 5) (x - 2) *Factor Set each factor = 0 and solve x + 5 = 0 ; x - 2 = 0 x = -5 ; x = 2 Find the corresponding value of y using the linear equation. y = -9x + 19 x = -5 x = 2 y = -9(-5) + 19 y = -9(2) + 19 y = 45 + 19 y = -18 + 19 y = 64 y = 1 (-5,64) (2,1) Check each value on each equation. y = x² - 6x + 9 (-5,64) (2,1) 64 = (-5)² - 6(-5) + 9 1 = 2² - 6(2) + 9 64 = 25 + 30 + 9 1 = 4 - 12 + 9 64 = 64 1 = 1 y = -9x + 19 64 = -9(-5) + 19 1 = -9(2) + 19 64 = 45 + 19 1 = -18 + 19 64 = 64 1 = 1{(-5,64), (2,1)}
You might be interested in
Answer:
do you mean gx-1-2=25?
and what does g equal?
Step-by-step explanation:
You start by subtracting: 16000-1200= 14800 Then you divide 14800 by how many feet the plane rises per minute 14800/945=16 minutes The answer is 16 minutes
Answer: The value of x is 40.25
It’s the circle. Obviously