Answer:
Part A:
P(x)=15x^4+30x^3-50
Part B:
P(4)=$4270
Step-by-step explanation:
Part A:
In order to find the profit function P(x) we have to integrate the P'(x)
P'(x)=x(60x^2+90x)
P'(x)=60x^3+90x^2
P(x)=15x^4+30x^3+C
when x=0, C=-50
P(x)=15x^4+30x^3-50
Part B:
x=4
P(x)=15x^4+30x^3-50
P(4)=15*4^4+30*4^3-50
P(4)=$4270
Profit from selling 400 pounds is $4270
Step-by-step explanation:
MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]
WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)
SUBSTITUTING INTO THE EQUATION ABOVE
(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]
EQUATING THE X COORDINATES
=> 3 = (2+ X2)/2 (CROSS MULTIPLY)
=> 6 = 2 + X2
X(subscript 2)= 4
EQUATING THE Y COORDINATES
=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)
6 = –8 +Y2
=> Y(subscript 2)= 14
THEREFORE THE COORDINATES OF B ARE (4 ,14)
hope this helps :)
Answer:
Below in bold.
Step-by-step explanation:
m < C = m < D = 64 degrees
m <A + m < D = 180
m < A + 64 = 180
m<A = 180 - 64 = 116 degrees.
m < B = m< A = 116 degrees.
Answer:
=17
Step-by-step explanation:
We need the slope and the y-intercept to find the equation of the linear model.
This line goes through (0,28) and (1,26), so the slope is
\frac{26 - 28}{1} = -2
1
26−28
=−2
The equation that best describes this model is
\widehat{y} = -2x + 28
y
=−2x+28
Plug in x = 5.5 in the above equation to get
\widehat{y}
y
=−2x+28
=(−2)(5.5)+28
=−11+28
=17
Based on this equation, the date in April her flowers will bloom if the average temperature in March is
Answer:
im pretty sure b
Step-by-step explanation:
because i took a test
