The problem above uses the concept of ratio and proportion. The ratio between the cost and amount of the organic milk should always be equal. The proportion between two cases is shown below,
($2.52 / 0.5 gallon) = (x / 4 gallons)
Solving for x gives x = 20.16. Therefore, 4 gallons of organic milk costs $20.16.
Answer:
Undefined
Step-by-step explanation:
Slope us (y2-y1)/(x2-x1)
(9-4)/(3-3)
Cant divide by zero
Answer:
D. The limiting value for the height of the plant is 6.88 cm.
Step-by-step explanation:
Answer:
x=40/33
Step-by-step explanation:
Let's solve your equation step-by-step.
25(4x−3)−2x=45−x
Step 1: Simplify both sides of the equation.
25(4x−3)−2x=45−x
(25)(4x)+(25)(−3)+−2x=45+−x(Distribute)
100x+−75+−2x=45+−x
(100x+−2x)+(−75)=−x+45(Combine Like Terms)
98x+−75=−x+45
98x−75=−x+45
Step 2: Add x to both sides.
98x−75+x=−x+45+x
99x−75=45
Step 3: Add 75 to both sides.
99x−75+75=45+75
99x=120
Step 4: Divide both sides by 99.
99x
99
=
120
99
x=
40
33
Answer:
x=40/33
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
