Step-by-step explanation:



= -4c + 14
hence -4c + 14 is the answer ...
hope it helped !!
Here's what i did:
I broke down the fraction entirely.
3 / 5 = 6 / 10
divide 6 by two and divide 18 by two. This makes 3 / 10 = 9.
divide 3 by three and 9 by three, making 1 / 10 = 3.
if you need 7 / 10 of the number (30) then do 3*7.
The answer is 21.
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: hope you get some help
Step-by-step explanation:
Answer:
Speed of plane in still air = 135 km/h
Speed of wind = 23 km/h
Step-by-step explanation:
Given that:
Speed of plane with the wind = 158km/h
Speed of plane against the wind = 112km/h
Let,
x be the speed of plane
y be the speed of wind
According to given statement;
x+y = 158 Eqn 1
x-y = 112 Eqn 2
Adding Eqn 1 and 2

Putting x = 135 in Eqn 1
135+y = 158
y = 158-135
y = 23
Hence,
Speed of plane in still air = 135 km/h
Speed of wind = 23 km/h