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)
The ratio 1:2 means there are twice as many dimes as there are quarters. An expression could be n=2d, n being number of quarters, d being number of dimes.
Answer:
73 m is equal to 730 dm
Step-by-step explanation:
We Need to convert 73 m into dm
We know that 1 meter is equal to 10 decimeter
We are given 73 m. Multiply it with 10 and we will get value in decimeter
73*10
= 730 decimeter
So, 73 m is equal to 730 dm
I think this is factorials
so an example would b....... 1*2*3*4*5.... ect
hope this helps
( - ∞, 3) ∪ (3, ∞ )
The domain is the set of values of x which make f(x) defined
The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.
solve x - 3 = 0 ⇒ x = 3
domain : (- ∞, 3) ∪ (3, ∞ )