Answer:
(-2, -1)
Step-by-step explanation:
This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.
The x-coordinate of the vertex is given by the formula
-b -4
x = --------- which here has the numerical value x = -------- = -2
2a 2
Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:
y = (-2)^2 + 4(-2) + 3 = -1
The vertex is at (-2, -1).
Answer:
0.05 periodic.
Step-by-step explanation:
let's do 52/936.
Answer:
1 = B
2 = A
3 = C
4 = D
Step-by-step explanation:
the answer for this problem is 0.01
Answer:
x = (-28)/11
Step-by-step explanation:
Solve for x:
(55 x)/24 + 35/6 = 0
Put each term in (55 x)/24 + 35/6 over the common denominator 24: (55 x)/24 + 35/6 = (55 x)/24 + 140/24:
(55 x)/24 + 140/24 = 0
(55 x)/24 + 140/24 = (55 x + 140)/24:
(55 x + 140)/24 = 0
Multiply both sides of (55 x + 140)/24 = 0 by 24:
(24 (55 x + 140))/24 = 24×0
(24 (55 x + 140))/24 = 24/24×(55 x + 140) = 55 x + 140:
55 x + 140 = 24×0
0×24 = 0:
55 x + 140 = 0
Subtract 140 from both sides:
55 x + (140 - 140) = -140
140 - 140 = 0:
55 x = -140
Divide both sides of 55 x = -140 by 55:
(55 x)/55 = (-140)/55
55/55 = 1:
x = (-140)/55
The gcd of 140 and 55 is 5, so (-140)/55 = (-(5×28))/(5×11) = 5/5×(-28)/11 = (-28)/11:
Answer: x = (-28)/11
