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Answer:
b = -11.
Step-by-step explanation:
Create an equation in slope-intercept form to solve for the intercept:
y = mx + b
Plug in the slope and point values:
4 = -3(-5) + b
Simplify:
4 = 15 + b
Solve for b:
-11 = b
b represents the y-intercept, therefore:
y-intercept = -11
3p-(-20)=50
3p+20=50 subtract 20 from both sides
3p=30 divide both sides by 3
p=10
Answer:
Step-by-step explanation:
circle A is
x²+y²+6x-4y-12=0
x²+6x +y²-4y =12
think (a+b)² = a²+2ab+b² we have a=x, b= 3
and (a-b)² = a²-2ab+b² so we have a=y, b=2
x²+6x +9 +y²-4y+4 = 12-9-4
(x+3)² +(y-2)²= -1
compare to the general equation of a circle (x-h)²+(y-k)² =r²
the center is at (-3,2) and the radius is √-1 =i
Circle B has center (0, -4) and radius 3 so the equation is
(x-0)²+(y-(-4))² =3²
x² +(y+4)² = 9
point (√8, -3) is on the circle if it verifies the equation
√8² +(-3+4)² = 9
8+1 =9 true so the point is on the circle
Circle A and circle B are not similar because they do not have the same center and radius
The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.
<u><em>Explanation</em></u>
The profit of a company receives is given by the expression: 
Simplifying this expression using distributive property, we will get .....
So, the simplified expression for profit will be: 
As 
represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, <u>we need plug 
and 
separately into the above expression</u>.
For , Profit 
For , Profit 
Cost per mile P- total cost (C) divided by total miles (M).
P= C/M
