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1 year ago

Select the correct answer.

Mathematics

1 answer:

OverLord2011 [107]1 year ago

5 0

The first mistake made in the steps to solve the equation is; Step 3 is incorrect and should be x = 10/8

<h3>How to solve algebraic equations?</h3>

We are given the algebraic expression;

6x - 1 = -2x + 9

Step 1; By addition property of equality, add 2x to both sides to get;

6x - 1 + 2x = -2x + 2x + 9

8x - 1 = 9

Step 2; By addition property of equality, add 1 to both sides to get;

8x - 1 + 1 = 9 + 1

8x = 10

Step 3; By division property of equality, divide both sides by 8 to get;

8x/8 = 10/8

x = 10/8

Step 4; By simplifying the fraction, we have;

x = 5/4

Step 3 shows 8/10 and as such it is the first mistake.

Read more about Algebraic Equations at; brainly.com/question/4541471

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A number is decreased by 3 and then the result is doubled. if the new result is 6 more than half the original number, what is th

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The answer is: " 8 " .
________________________________
Explanation:
________________________________
Let "x" represent the "original number".

2(x - 3) = 6 + (1/2)x ; Solve for "x" ;
______________________________________
Multiple the ENTIRE EQUATION (both sides) by "2" ; to get rid of the fraction:

2*{2(x - 3) = 6 + (1/2)x} ;

to get:

4(x - 3) = 12 + x ;
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Let us expand the "left-hand side" of the equation:
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Note the "distributive property of multiplication" :
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a(b - c) = ab - ac ;

a(b +c) = ab + ac ;
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So; "4(x - 3)" = 4*x - 4*3 = 4x - 12 ;
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Rewrite the equation:
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4x - 12 = 12 + x ;

Subtract "x" from EACH side of the equation; and Add "12" to EACH SIDE OF THE EQUATION;
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4x - 12 - x + 12 = 12 + x - x + 12 ;

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3x = 24 ;
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Now, divide EACH side of the equation by "3" ; to isolate "x" on one side of the equation; and to solve for "x" ;
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6 0

4 years ago

Determine the unknown coefficient a, if x + 3 is a factor of f(x) = 2x^3 + ax^2+ 19x + 3

Marysya12 [62]

Answer:

$a=12$

Step-by-step explanation:

Work backwards with synthetic division with remainder 0 and then solve for a:

-3 | 2 a 19 3

_________

2 | 0

-3 | 2 a 19 3

_______ -3

2 | 0

-3 | 2 a 19 3

_______ -3

2 1 | 0

-3 | 2 a 19 3

_____-18 -3

2 1 | 0

-3 | 2 a 19 3

_____ -18 -3

2 6 1 | 0

-3 | 2 a 19 3

_____ -18 -3

2 6 1 | 0

-3 | 2 a 19 3

____-6 -18 -3

2 6 1 | 0

a - 6 = 6

a = 12

6 0

2 years ago

I Need HELP PLEASE ANYONE U GET 5 STARS IF RIGHT ANSWER !

Leokris [45]

Answer:

4√(7^5) and (4√7)^5

Step-by-step explanation:

7^5/4

The above can be expressed as follow: Method 1:

7^5/4

(7^5)^1/4

Recall:

(a^m)^1/n = n√(a^m)

Therefore,

(7^5)^1/4 = 4√(7^5)

Method 2:

7^5/4

(7^1/4)^5

Recall:

(a^1/m)^n = (m√a)^n

Therefore,

(7^1/4)^5 = (4√7)^5

From the illustration above, we can see that 7^5/4 can be expressed as 4√(7^5) and (4√7)^5

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