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lora16 [44]
3 years ago
13

The table below shows two equations:

Mathematics
2 answers:
Gnom [1K]3 years ago
7 0

(1) has solutions x = 3, x= - 1.5 and (2) has no solution

solving each equation

(1)

add 5 to both sides

|4x - 3 | = 9 ( remove bars from absolute value )

4x - 3 = 9 or 4x - 3 = - 9 ( by definition )

4x = 9 + 3 = 12 or 4x = - 9 + 3 = - 6

x = 3 or x = - 1.5

(2)

subtract 8 from both sides

|2x + 3 | = - 5

the absolute value cannot be equal to a negative quantity

thus |2x + 3 | = - 5 has no solution


CaHeK987 [17]3 years ago
4 0

Answer:

The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.

Step-by-step explanation:

Rearranging the two equations, you get ...

  • |4x -3| = 9 . . . . . has two solutions
  • |2x +3| = -5 . . . . has no solutions (an absolute value cannot be negative)

The above-listed answer is the only one that matches these solution counts.

_____

Testing the above values of x reveals they are, indeed, solutions to Equation 1.

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1 year ago
What line is parallel to 2x+5y=6 that goes through (5,3)
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Step-by-step explanation:

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Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where   y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)

y - 3 = \frac{1}{4}(x - 5); y - 3 = \frac{x}{4} - \frac{5}{4};  y = \frac{x}{4} - \frac{5}{4} +3

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2 years ago
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Step-by-step explanation:

hello :

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3 years ago
Read 2 more answers
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Given the table below comparing the marginal benefit Lucinda gets from Kewpie dolls and Beanie Babies.

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Lucinda will buy the combination for which marginal benefit is the same.

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