Substitute value of y from equation (1) in equation (2),
5x-4(5-3x) = -3
5x-20+12x = -3
17x=17
x = 1
Substitute it in equation (1),
y = 5-3(1)
y = 5-3 = 2
So, the values (x,y) = (1,2)
Answer: The vertex is (-3, 2)
The equation y = -4(x + 3)^2 + 2 can be written as y = -4(x - (-3))^2 + 2
I rewrote x+3 as x - (-3)
Compare y = -4(x - (-3))^2 + 2 with the general template y = a(x-h)^2 + k
Note how
a = -4
h = -3
k = 2
So the vertex is (h,k) = (-3, 2)
Answer:
x + 2700 ≥ 5000 → x ≥ 2300
Step-by-step explanation:
The inequality is: x + 2700 ≥ 5000 with x being the number of points
To solve we need to subtract 2700 from both sides to get: x ≥ 2300
2:7 = 4:14 because each is equal to 2/7. If you simplify 4:14 by dividing by 2, it simplifies to 2:7.
Half of pi/3 means 1/2 times pi/3=pi/6