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mart [117]
2 years ago
14

After collecting the variables on the left side of the equation, the coefficient of the x term will be?

Mathematics
1 answer:
Kipish [7]2 years ago
3 0

Answer:

56

Step-by-step explanation:

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What is the first step in solving the equation x2 – 16/25 = 0?
Keith_Richards [23]

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x^2-(16/25)=0 

Step by step solution :<span>Step  1  :</span> 16 Simplify —— 25 <span>Equation at the end of step  1  :</span><span><span> 16 (x2) - —— = 0 25 </span><span> Step  2  :</span></span>Rewriting the whole as an Equivalent Fraction :

<span> 2.1 </span>  Subtracting a fraction from a whole 

Rewrite the whole as a fraction using <span> 25 </span> as the denominator :

<span> x2 x2 • 25 x2 = —— = ——————— 1 25 </span>

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 2.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

<span> x2 • 25 - (16) 25x2 - 16 —————————————— = ————————— 25 25 </span>Trying to factor as a Difference of Squares :

<span> 2.3 </span>     Factoring: <span> 25x2 - 16</span> 

Theory : A difference of two perfect squares, <span> A2 - B2  </span>can be factored into <span> (A+B) • (A-B)

</span>Proof :<span>  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 <span>- AB + AB </span>- B2 = 
        <span> A2 - B2</span>

</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication. 

Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.

Check :  25  is the square of  5 
Check : 16 is the square of 4
Check : <span> x2  </span>is the square of <span> x1 </span>

Factorization is :       (5x + 4)  •  (5x - 4) 

<span>Equation at the end of step  2  :</span> (5x + 4) • (5x - 4) ——————————————————— = 0 25 <span>Step  3  :</span>When a fraction equals zero :<span><span> 3.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

(5x+4)•(5x-4) ————————————— • 25 = 0 • 25 25

Now, on the left hand side, the <span> 25 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   (5x+4)  •  (5x-4)  = 0

Theory - Roots of a product :

<span> 3.2 </span>   A product of several terms equals zero.<span> 

 </span>When a product of two or more terms equals zero, then at least one of the terms must be zero.<span> 

 </span>We shall now solve each term = 0 separately<span> 

 </span>In other words, we are going to solve as many equations as there are terms in the product<span> 

 </span>Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

<span> 3.3 </span>     Solve  :    5x+4 = 0<span> 

 </span>Subtract  4  from both sides of the equation :<span> 
 </span>                     5x = -4 
Divide both sides of the equation by 5:
                     x = -4/5 = -0.800 

Solving a Single Variable Equation :

<span> 3.4 </span>     Solve  :    5x-4 = 0<span> 

 </span>Add  4  to both sides of the equation :<span> 
 </span>                     5x = 4 
Divide both sides of the equation by 5:
                     x = 4/5 = 0.800 

<span><span> x = 4/5 = 0.800
</span><span> x = -4/5 = -0.800
</span></span>
3 0
3 years ago
Read 2 more answers
4. What value of x makes the inequality true?<br> 3(2x - 1) - 11x S -3x + 5
NNADVOKAT [17]

Answer:

A. {x: x ≥ -4}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • {Builder Set Notation}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3(2x - 1) - 11x ≤ -3x + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property Distribute 3:                                                                  6x - 3 - 11x ≤ -3x + 5
  2. [Subtraction] Combine like terms:                                                                   -5x - 3 ≤ -3x + 5
  3. [Addition Property of Equality] Add 5x on both sides:                                   -3 ≤ 2x + 5
  4. [Subtraction Property of Equality] Subtract 5 on both sides:                        -8 ≤ 2x
  5. [Division Property of Equality] Divide 2 on both sides:                                  -4 ≤ x
  6. Rewrite:                                                                                                             x ≥ -4
6 0
2 years ago
Consider the graph of the line y = .5x- 4 and the point
Katena32 [7]

Answer:

slope of parallel line and perpendicular line are 5 and -1/5 espectively

equation of parallel and perpendicular line are y = 5x + 22 y= \frac{-1}{5} x+\frac{6}{5} respectively

Step-by-step explanation:

y = 5x - 4 is in the form

y = mx + c

where m is the slope of the line and c is the y intercept of thr line

therefore slope of the line = 5 and y intercept = -4

when an another line is parallel to the given line then the slope of both the lines are equal

therefore the slope the parallel line = 5

equation of a line passing through a given point (x_{1} ,y_{1}) with slope m is given by y-y_{1} = m(x-x_{1} )

given (x_{1} ,y_{1})= (-4,2)

therefore equation of line y-2 = 5(x+4)

therefore y = 2+ 5x+20

y = 5x + 22is the eqaution of required line.

when two lines are perpendiculer then

m_{1} m_{2}=-1

where m_{1} and m_{2} are slope of the lines therefore

m×5=-1

therefore m= \frac{-1}{5}

therefore eqaution of line passing through (-4,2) and with slope m= \frac{-1}{5} is given by y - 2= \frac{-1}{5} (x+4)

y= \frac{-1}{5} x+\frac{6}{5}

3 0
3 years ago
How do i calculate probability<br>​
Semenov [28]

Step-by-step explanation:

Probability = possible chances

Total chances.

3 0
2 years ago
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One number is 3 more than 2 times the other, and their sum is 27. Find the numbers. If x represents the smaller number, then the
Sladkaya [172]
I have an answer in mind, but i'm not 100% sure. I re-read the question, and I got 2x+3.
7 0
3 years ago
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