ANSWER

EXPLANATION
The given expression is;

Change everything to

and

This implies that,

Cancel the common factors,






It's the first one. That is a perfect square polynomial, which, when factored, will give you the same binomial twice, or multiplicity 2. It will factor to

, where the vertex (h, k), is (-9, 0).
Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
Answer:
-6
Step-by-step explanation:
substitute for x and y in the given equation
x=0
y=-6
let the unknown number be 'b'
y = -4x + b
-6 = 4*0 + b
b = -6
The temperature of a city is 4°C Next day temperature falls by 5°C Next day temperature = 4-5 = -1°C Hope it helps ...