Answer:
Answers are in bold type
Step-by-step explanation:
f(x) = 
The parabola opens up, so has a minimum at the vertex.
Let (h, k) be the vertex
h = -b/2a = - (-144)/2(1) = 57
k = 57^2 - 144(57) = 3249 - 6498 = -3249
Therefore, the vertex is (57, -3249)
The minimum value is -3249
The domain is the set of real numbers.
The range = {y | y ≥ -3249}
The function decreases when -∞ < x < 57 and increases when 57 > x > ∞
The x - intercepts:
= 0
x(x - 114x) = 0
x = 0 or x = 114
x-intercepts are (0, 0) and (0, 114)
When x = 0, then we get the y-intercept. So, 0^2 - 114(0) = 0
y-intercept is (0, 0)
Answer:
65 degrees, because vertical angles are always congruent.
Step-by-step explanation:
<span>the value of the number one in 61 is 1
hope it helps</span>
Answer: x = 21°
Step-by-step explanation:
37 + 4x + (3x - 4) = 180° Original Equation
37 + 4x + 3x - 4 = 180° Commutative Property of Addition
7x + 33 = 180° Combine like terms
7x = 148° Subtract 33 from both sides
x = 21° Divide both sides by 7
The number you are looking for is 995