The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
Add and subtract 121, we have
![f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%5E2%20-%2022x%20%2B121%20-%20121%20%29%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%5B%28x%5E2%20-%2011%29%5E2-121%5D%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%28x-11%29%5E2%20-%20242%20%2B%20185%5C%5C%5C%5Cf%20%28x%20%29%20%3D%202%28x-11%29%5E2%20-57)
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
brainly.com/question/2263981
Answer:
$5.625
Step-by-step explanation:
Cost per pound of beef = $1.25 per pound
Number of pounds purchased = 3.5 pounds
Amount given to cashier = $10.00
Amount of change to receive from cashier =?
Amount issued to cashier - total cost of beef
Total cost of beef = (number of pounds * cost per pound)
Total cost of beef = (3.5 * 1.25) = $4.375
$10 - $4.375 = $5.625
Hello!
Use the Pythagorean Theorem to solve for the hypotenuse:
a² + b² = c²
Plug in the given values:
12² + 4² = c²
144 + 16 = c²
160 = c²
Take the square root of both sides:
c = √160
c ≈ 12.65.
The correct answer is x=4
In SOHCAHTOA you want to use cosine (CAH)
Cos75 = x/30
Use algebra to get x by itself.
So type into your calculator:
30cos(75) which equals 7.76
