B. Mark bought 4 packs of gum for $1.5 each. 6 dollars in total. The 4 packs of gum is on the x axis (x, y) and the the total is 6 dollars.
X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000
x = 125000/p^3
The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3
Therefore the price that will yeaild maximum profit is $3.
Answer:
The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance <u>between</u> two points on the circle.
C = 2πr = 2π( <u>5</u><u> </u>) = 10π ≈ 31.4 units
3.14 is an approximation for π.
s = θ/360° (C)
mAB = 60°/360° ( 31.4)
= <u>1</u><u>/</u><u>6</u>(31.4) ≈5.2 units
Answer:
3(3x^2 + 5)
Step-by-step explanation:
step 1: find out the greatest common factor (GCF) of the number 9 and 15
ex: 9x^2 + 15x (3 * 3x^2 + 3 * 5)
step 2: factor out the common term 3
ex: 3 * 3x^2 + 3 * 5 (3 * 3x^2 + 5)
step 3: simplify the equation
3 * 3x^2 + 5 [3(3x^2 + 5)]