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iVinArrow [24]
3 years ago
14

Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 −

21.6 2. 15.6x − 16.4 = −2.3x + 35.4 3. 17.9x − 16.4 = 35.4 4. 17.9x = 51.8 5. x ≈ 2.89 When Caleb verified his solution, it didn’t work. What mistake did he make? In step 1, the distributive property was not used properly on the right side of the equation. In step 2, the like terms were not combined properly on the right side of the equation. In step 3, the addition property of equality was not used properly to isolate the variable term. In step 5, the division property of equality was not used properly to solve for x.
Mathematics
2 answers:
IRINA_888 [86]3 years ago
6 0
For this case we have the following equation:
 7.4x + 4.1 (2x - 4) = -2.3 (x - 6) - 21.6

 Step 1 of the solution is to make the distributive property.
 We have then:
 7.4x + 8.2x - 16.4 = -2.3x + 13.8 - 21.6

 Step 1 is correct.
 The step is to combine similar terms. Caleb wrote: 7.4x + 8.2x - 16.4 = -2.3x + 35.4

 He wrongly combined the similar terms on the right side of the equation.
 The correct solution is: 7.4x + 8.2x - 16.4 = -2.3x -7.8

 Answer:
 In step 2, the like terms were not combined on the right side of the equation.
Nana76 [90]3 years ago
5 0

Answer:

In step 2, the like terms were not combined on the right side of the equation.

Step-by-step explanation:

Enjoy your life, get good grades,

-Mr. Brainly

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Step-by-step explanation:

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Step-by-step explanation:

Let be \vec b = 2\,i+j-3\,k and \vec a = 3\,i-j, the component of \vec b parallel to \vec a is calculated by the following expression:

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Where \hat{a} is the unit vector of \vec a, dimensionless and \bullet is the operator of scalar product.

The unit vector of \vec a is:

\hat{a} = \frac{\vec {a}}{\|\vec a\|}

Where \|\vec {a}\| is the norm of \vec a, whose value is determined by Pythagorean Theorem.

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