X^3 = 216 (Solve for x)

PLEASE HELP ASAP!!

Elza [17]

Answer:

The parabolic equation does not intersect the linear equation.

Explanation:

Given equation's:

y = x² − 5x + 9
y = -2x

To solve , use substitution method by inserting 2nd equation into 1st

$\sf y = x^2 - 5x + 9$

when substituted y = -2x

$\sf -2x = x^2 - 5x + 9$

collect terms

$\sf x^2 - 5x+ 2x + 9=0$

simplify

$\sf x^2 - 3x + 9=0$

Find discriminant:

$\sf b^2 - 4ac$

$\sf (-3)^2 - 4(1)(9)$

$\sf -27$

As the discriminant is negative, it tell us that they both does not intersect each other.

7 0

2 years ago

Approximately 3.8 L of oil and 0.5kg of steel can be recovered from a car tire. If 200 000 000 tires are recycled each year, how

rjkz [21]

3.8 * 200,000,000 = 760,000,000 L of oil r recovered
0.5 * 200,000,000 = 100,000,000 kg of steel r recovered

8 0

3 years ago

The volume of a cylinder is 30 pie cubic units. A cone shares the same base. The height of the cone is twice the height of the c

bija089 [108]

Given:

The volume of a cylinder is $30 \pi$ cubic units.

A cone shares the same base.

The height of the cone is twice the height of the cylinder.

We need to determine the volume of the cone.

Height of the Cone:

Let h denote the height of the cylinder.

Let H denote the height of the cone.

Since, it is given that, the height of the cone is twice the height of the cylinder, we have;

$H=2h$

Volume of the cylinder:

The formula to determine the volume of the cylinder is

$V=\pi r^2 h$

Since, volume of the cylinder is $30 \pi$ , we get;

$30 \pi = \pi r^2 h$ -------(1)

Volume of the cone:

The formula to determine the volume of the cone is

$V=\frac{1}{3} \pi r^2 H$

Substituting $H=2h$ , we get;

$V=\frac{1}{3} \pi r^2 (2h)$

$V=\frac{2}{3} \pi r^2 h$

Substituting equation (1), we get;

$V=\frac{2}{3} (30 \pi)$

$V=20 \pi$

Thus, the volume of the cone is 20π

Hence, Option C is the correct answer.

4 0

3 years ago

Find two numbers if there sum is 7.2 and their difference is 2.7

Sidana [21]

Answer:

2.25 and 4.95

Step-by-step explanation:

x + y = 7.2

x - y = 2.7

x = 7.2 - y

x - y = 2.7

(7.2 - y) - y = 2.7

7.2 - 2y = 2.7

-2y = 2.7 - 7.2

-2y = -4.5

-2y/-2 = -4.5/-2

y = 2.25

x + y = 7.2

x + 2.25 = 7.2

x = 7.2 - 2.25

x = 4.95

Check: 4.95 and 2.25

x + y = 7.2

(4.95) + (2.25) = 7.2

7.2 = 7.2

x - y = 2.7

(4.95) - (2.25) = 2.7

2.7 = 2.7

6 0

3 years ago

Read 2 more answers

A ball is dropped from the top of a building. The distance in feet above the ground, represented by h(t), after t seconds can be

ikadub [295]

Answer:

324 feet

Step-by-step explanation:

h(3) = 16(3)^2 + 180

h(3) = 16(9) + 180

h(3) = 144 + 180

h(3) = 324

3 0

3 years ago