Answer:
P = -0.004Q + 149
Step-by-step explanation:
The general form of the linear equation is:
The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)
Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:
The linear equation is:
P = -0.004Q + 149
That would be 644.8 / 31 = 20.8 feet / second
Step-by-step explanation:
f(x)=2x²+3x+9
g(x) = - 3x + 10
In order to find (f⋅g)(1) first find (f⋅g)(x)
To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)
We have
(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9
Expand
(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9
= 18x² - 120x + 200 - 9x + 30 + 9
Group like terms
(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9
(f⋅g)(x) = 18x² - 129x + 239
To find (f⋅g)(1) substitute 1 into (f⋅g)(x)
That's
(f⋅g)(1) = 18(1)² - 129(1) + 239
= 18 - 129 + 239
We have the final answer as
<h3>(f⋅g)(1) = 128</h3>
Hope this helps you
Answer:
A. Square
Explanation:
The square with sides: x+1
Has an area of: (x+1)^2
The rectangle with sides: x+2 and x
Has an area of: x(x+2)
So we simplify the square: (x+1).(x+1)= x^2+2x+1
Simplifying the rectangle: x^2+2x
Therefore the square area is larger by one unit.
Hope you get it!
Answer:
a=11, b=53
Step-by-step explanation:
y=ax+b
x=1, y=64 -> 64=a+b
x=2, y=75 -> 75=2a+b
75-64=a, a=11, b=53
All the other points obey this rule.
