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3 years ago

53x +2 = 25х – 8please help me, step by step

Mathematics

2 answers:

OLga [1]3 years ago

8 0

Answer:

-5/14

Step-by-step explanation:

53x +2 = 25х – 8

Subtract 25x from each side

53x-25x +2 = 25х-25x – 8

28x +2 = -8

Subtract 2 from each side

28x +2-2 = -8-2

28x = -10

Divide by 28

28x/28 = -10/28

x = -5/14

lidiya [134]3 years ago

3 0

Answer:

$53x+2=25x-8$

Subtract 2 from both sides

$53x+2-2=25x-8-2$

$53x=25x-10$

Subtract 25x from both sides

$53x-25x=25x-10-25x$

$28x=-10$

Divide both sides by 28

$\frac{28x}{28}=\frac{-10}{28}$

$x=-\frac{5}{14}$

OAmalOHopeO

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3 years ago

(8.5-2x)(11-2x)(x) what is the approximate value of x that would allow you to construct an

Wittaler [7]

The largest volume possible from one piece of paper for open-top box is 64.296 cubic unit.

<h3>What is meant by the term maxima?</h3>

The maxima point on the curve will be the highest point within the given range, and the minima point will be the lowest point just on curve.
Extrema is the product of maxima and minima.

For the given question dimensions of open-top box;

The volume is given by the equation;

V = (8.5-2x)(11-2x)(x)

Simplifying the equation;

V = x(4x² - 39x + 93.5)

Differentiate the equation with respect to x using the product rule.

dV/dx = x(8x -39) + (4x² - 39x + 93.5)

dV/dx = 8x² - 39x + 4x² - 39x + 93.5

dV/dx = 12x² - 72x + 93.5

Put the Derivative equals zero to get the critical point.

12x² - 72x + 93.5 = 0.

Solve using quadratic formula to get the values.

x = 4.1 and x = 1.9

Put each value of x in the volume to get the maximum volume;

V(4.1) = 4.1(4(4.1)² - 39(4.1) + 93.5)

V(4.1) = 3.44 cubic unit.

V(1.9) = 1.9(4(1.9)² - 39(1.9) + 93.5)

V(1.9) = 64.296 cubic unit. (largest volume)

Thus, the largest/maximum volume possible from one piece of paper for open-top box is 64.296 cubic unit.

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1 year ago

(20,19),(-2,5) Find the slope of the line through each pair of points

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.............. M = 7/11

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3 years ago

Read 2 more answers

4x+1=9+4y solve for y

koban [17]

Answer:

y = x-2

Step-by-step explanation:

6 0

3 years ago

Solve -3x=2x^2-4 using quadratic formula

frozen [14]

Answer:

$x=-2.35078, 0.850781$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Standard Form: ax² + bx + c = 0
Quadratic Formula: $x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Step-by-step explanation:

Step 1: Define equation

-3x = 2x² - 4

Step 2: Rewrite into Standard Form

0 = 2x² + 3x - 4

Step 3: Define variables

a = 2

b = 3

c = -4

Step 4: Find x

Substitute: $x=\frac{-3\pm\sqrt{3^2-4(2)(-4)} }{2(2)}$
Evaluate: $x=\frac{-3\pm\sqrt{9-4(2)(-4)} }{2(2)}$
Multiply: $x=\frac{-3\pm\sqrt{9+32} }{4}$
Add: $x=\frac{-3\pm\sqrt{41} }{4}$
Evaluate: $x=\frac{-3\pm6.40312}{4}$
Evaluate: $x=-2.35078, 0.850781$

And we have our final answer!

6 0

3 years ago

53x +2 = 25х – 8please help me, step by step​

53x +2 = 25х – 8please help me, step by step