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3 years ago

Solve the following equation: 3x^3+5x^2-4x-4=0

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

Answer:

Step-by-step explanation:

Simplifying

3x + 2(4x + -4) = 3

Reorder the terms:

3x + 2(-4 + 4x) = 3

3x + (-4 * 2 + 4x * 2) = 3

3x + (-8 + 8x) = 3

Reorder the terms:

-8 + 3x + 8x = 3

Combine like terms: 3x + 8x = 11x

-8 + 11x = 3

Solving

-8 + 11x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 11x = 3 + 8

Combine like terms: -8 + 8 = 0

0 + 11x = 3 + 8

11x = 3 + 8

Combine like terms: 3 + 8 = 11

11x = 11

Divide each side by '11'.

x = 1

Simplifying

x = 1

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An open box is to be made from a flat square piece of material 16 inches in length and width by cutting equal squares of length

vaieri [72.5K]

Answer:

V = x(19-2x)(4-2x)

Step-by-step explanation:

We are given;

Length of flat piece of material =19 inches

Width of flat piece = 4 inches

We are told that the open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides

Thus, we will now have;

length of open box = (19-2x) inches

Width of open box = (4-2x) inches

Height of box = x inches

We know that: Volume of box = length × width × height

So, plugging in the relevant values, we have;

Volume of box(V) = x(19-2x)(4-2x)

7 0

3 years ago

The Midpoint of GH is M(4,-3). One endpoint is G(-2,2). Find the coordinates of endpoint H.

77julia77 [94]

Answer:

Step-by-step explanation:

(x - 2)/2 = 4

x - 2 = 8

x = 10

(y + 2)/2 = -3

y + 2 = -6

y = -8

(10, -8)

3 0

2 years ago

A box of a dozen fruit tarts costs$15.00. What is the cost of one fruit tart

hammer [34]

Cost:amount
15/12
$1.25 for a fruit tart

4 0

2 years ago

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Simplify the sun if possible 3/6+2/6

Inga [223]

3+2=5
6+6=6 just carry over the six
it's at its simplest form

5 0

2 years ago

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Given a can with a volume of 42 and a diameter of 4, what is the volume of a cone that fits perfectly inside the can? (Hint: onl

V125BC [204]

Answer:

$\large\boxed{\large\boxed{14 units^3}}$

Explanation:

The cone is said to fit perfectly inside the can when the diameter of the cone and its height are equal to those of the can.

The shape of a can can be considered a cylinder.

The volume of a cone that fits into the can is 1/3 the volume of the can.

Thus, the volume of our cone is (1/3) × 42 unit³ = 14 units³

8 0

3 years ago