Answer:
15
Step-by-step explanation:
To find the answer, round the answer to 603.5/41
603.5/41 is approximately 15
Karl used about 15 gallons
Hope this helps :)
Have a great day!
Answer:
y = x³ - 3x² - x + 3
Step-by-step explanation:
Given the zeros x = - 1, x = 1 and x = 3 then
(x + 1), (x - 1) and (x - 3) are the factors and the polynomial is the product of the factors, hence
y = a(x - 1)(x + 1)(x - 3) ← a is a multiplier
let a = 1 and expand the factors
y = (x² - 1)(x - 3)
= x³ - x - 3x² + 3
= x³ - 3x² - x + 3 ← in standard form
let's put value of t in equation.
x = 2√t
x = 2√y
x/2 = √y
(x/2)^2 = y
y = x^2 /4
now let's differentiate it with respect to x.
dy/dx = 2x/4 = x/2
differentiating again wrt to x
d^2y/dx^2 = 1/2
Answer:
see explanation
Step-by-step explanation:
Given the width is 
of the length, then
y - 4 = (2y + 6)
Multiply through by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
Thus
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
Answer:
(3) y = 4x
Step-by-step explanation:
In order for the equation not to change, the point (0, 0) must be on the original line and so on the line after dilation. The only equation with (0, 0) as a point on the line is y=4x.
Dilation about the origin moves all points away from the origin some multiple of their distance from the origin. If a point is on the origin, it doesn't move. We call that point the "invariant" point of the transformation. For the equation of the line not to change, the invariant point must be on the line to start with.
