Answer:
<h2>SEE BELOW</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>let's solve:</h3>
vertex:(h,k)
therefore
vertex:(-1,4)
axis of symmetry:x=h
therefore
axis of symmetry:x=-1
- to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0
vertex form of quadratic equation:
therefore
- y=a(x-(-1))²+4
- y=a(x+1)²+4
it's to notice that we don't know what a is
therefore we have to figure it out
the graph crosses y-asix at (0,3) coordinates
so,
3=a(0+1)²+4
simplify parentheses:

simplify exponent:

therefore

our vertex form of quadratic equation is
let's simplify it to standard form
simplify square:

simplify parentheses:

simplify addition:

therefore our answer is D)y=-x²-2x+3
the domain of the function

and the range of the function is

zeroes of the function:




factor out x and -1 respectively:

group:

therefore

A property of inverse functions is that if f(x) = a, g(a) = x
F(x) = (5x+1)/x
G(x) = x/(5x+1)
Plug in x = 3.
F(3) = 16/3
G(16/3) = 16/83. Since it doesn’t equal 3, it’s not an inverse function
Answer:
He currently has 5/8 of a gallon. He needs 11/8 more paint to finish his mural.
Add 11/8 gallons or 5/4 and 1/8 of a gallon.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
let’s start with putting the unknown to x, in this case it is the number.
5x-5=7+3x, so now we just solve this equation.
5x-3x=7+5
2x=12
x=6
Answer:
Step-by-step explanation:
27.068
28.08
28.15
29.94