Answer:
y + 4 = -3(x -2)
Step-by-step explanation:
A line parallel to y = -3x + 7 also has a slope of -3.
Use the point-slope formula:
y - k = m(x - h)
Inserting the given info, we get:
y + 4 = -3(x -2)
 
        
             
        
        
        
Answer: A = 4    P = π     PS = -π/2
<u>Step-by-step explanation:</u>
y = A sin(Bx - C) + D      where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given:  y = -4 sin(2x + π) - 3
- A (amplitude) = 4      <em>the negative sign is a reflection, not amplitude</em>
- B = 2
- C = -π
- D = -3
Amplitude = 4


 
        
             
        
        
        
Answer:
C
Step-by-step explanation:
To find the slope between any two points, we can use the slope formula: 

Where (x₁, y₁) and (x₂, y₂) are two, separate points. 
We have the two points (-3, 3) and (-1, -1). 
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂). 
Substitute them into the slope formula to get: 

Subtract: 

Hence, our slope is -2. 
So, our answer is C. 
 
        
                    
             
        
        
        
Answer:
36 number of 2/3-pint bottles can be filled from a 24-pint container
Step-by-step explanation:
Volume of the container is 24 pint
Volume of the bottle is 2/3 pint
Number of 2/3 pint bottles that can be filled from 24 pint container is 

36 number of 2/3-pint bottles can be filled from a 24-pint container
 
        
             
        
        
        
Since both are equivalent to y, the equations must be equivalent.
x^2-x-3= -3x+5
x^2+2x-8=0
(x+4)(x-2)=0
x=-4, x=2
Plug the values of x in to either equation 
y=-3(-4)+5
y= 12+5
y=17
y= -3(2)+5
y=-6+5
y=-1
Final answer: (-4,17) and (2,-1)