To factor the expression 3x2 – 9x, Caleb found the GCF as shown. List the factors: 3x2 = 3 • x • x 9x = 3 • 3 • x GCF = 3 • 3 • x • x = 9x2 What is Caleb’s error? Caleb factored 3x2 incorrectly. Caleb factored 9x incorrectly. Caleb found the product of all factors, not just the ones common to each term. Caleb did not make an error.

Caleb found the product of all factors, not just the ones common to each term.

Step-by-step explanation:

answer

C

Step-by-step explanation:

step-by-step explanation:

3024 rhe base is what up in worry about

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.