Kelsey wants to use the Quadratic Formula to solve the equation x4 + 5x2 - 5 = 0. Is this possible? If so, describe the steps she should follow.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. Yes. It is possible. By substituting u= Kelsey can rewrite the equation as a quadratic equation with the variable u. After finding
solutions for u from the Quadratic Formula, Kelsey can substitute back and solve the resulting equation or equations to find all
possible values of x.
OB. Yes. It is possible. By first factoring out the least common multiple of Kelsey can apply the Zero Product Property and use the
Quadratic Formula for the remaining factor.
O C. Yes. It is possible. By substituting u = Kelsey can rewrite the equation as a quadratic equation with the variable u. The solutions
from the Quadratic Formula are the solutions to the equation x4 + 5x2 - 5=0.
OD. No. It is not possible to use the Quadratic Formula here. The equation is not quadratic.
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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.

c. side angle side. u shares the same sides

inch

step-by-step explanation:

yard and mile are too big.

step-by-step explanation:

the answer to this question depends on certain assumptions.   if the 6-pint jar starts out empty, and the 3-pint jar full, pouring the 3 pints into the 6-pint jar results in a half-full 6-pint jar.   if we refill the 3-pint jar and then pour its contents into the half-full 6-pint jar, then the 6-pint jar will be full.