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2 years ago

Solve the equation. 5x + 6 = 2(2x – 3) x =

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

6 0

Don’t forget you have to do the parenthesis first. X=-12

Kazeer [188]2 years ago

4 0

Answer:

x=0

Step-by-step explanation:

5x+6= 2(2x-3)

5x+6= 4x-6

5x-4x= -6-6

x=-12

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How do I find the length and the width?

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Online calculator to calculate the dimensions (length and width) of a rectangle given the area A and perimeter P of the rectangle. Then these equations are solved for L and W which are the length and width of the rectangle. Enter the perimeter P and area A as positive real numbers and press "enter".

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2 years ago

Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

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2 years ago

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devlian [24]

Answer:

7.7

Step-by-step explanation:

The area of the wall is 4 * 2 = 8.

The radius of each clock is 0.3 / 2 = 0.15.

The area of all 4 circles is 4 * (πr²) = 4 * 3.14 * 0.15² = 0.3.

8 - 0.3 = 7.7

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2 years ago

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The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all en

hjlf

Distribute +1
78=1/2x+x-6
combine like terms
1=(2/2)
(1/2)+(2/2)= 3/2
78=3/2x-6
Add 6 to both sides
84=3/2x
Divide by (3/2)
x=$56=adult ticket
Child ticket = x-6=56-6=$50
$50

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2 years ago