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barxatty [35]
3 years ago
10

What is the solution set of the equation |2x+3|=7 in the set of rational numbers?

Mathematics
2 answers:
valina [46]3 years ago
8 0

Answer:

d

Step-by-step explanation:

-10=-5*2;        4=2*2

l-10+3l= 7;      l4+3l=7

babymother [125]3 years ago
7 0
<h3>Answer:  D.  {-5, 2}</h3>

==================================================

Work Shown:

|2x+3| = 7 means either 2x+3 = 7 or 2x+3 = -7

Solve each for x

2x+3 = 7

2x = 7-3

2x = 4

x = 4/2

x = 2 is one solution

Repeat for the other equation

2x+3 = -7

2x = -7-3

2x = -10

x = -10/2

x = -5 is the other solution

------

Each solution can be checked by plugging it back into the original equation and simplifying. You should get the same number on both sides

For instance, checking x = -5 leads to

|2x+3| = 7

|2(-5)+3| = 7

|-10+3| = 7

|-7| = 7

7 = 7

Which confirms x = -5. I'll let you check x = 2.

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vivado [14]

Answer:

a)

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b) attach file

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Step-by-step explanation:

a)

The equation for velocity of each component is v=v_{0}+at, in this case the x-axis component has acceleration 0\frac{m}{s^{2} }, the y-axis component has acceleration 3\frac{m}{s^{2} } and the z-axis component has -g\frac{m}{s^{2} }, where g=9.81\frac{m}{s^{2} }.

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3 0
3 years ago
The length of a rectangle is the sum of the width and 2. The area of the rectangle is 48 units. What is the length, in units, of
suter [353]

Length of the rectangle is 8 units

Step-by-step explanation:

  • Step 1: Find the length, let width be x.

Area of the rectangle = 48 units

Length = x + 2

⇒ Area = Length × Breadth

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x(x + 8) - 6(x + 8) = 0

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6 0
3 years ago
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rodikova [14]

Answer:

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Step-by-step explanation:

Replace the variable xx with −1-1 in the expression.

f(−1)=−3⋅−1+8f(-1)=-3⋅-1+8

Simplify the result.

Tap for fewer steps...

Multiply −3-3 by −1-1.

f(−1)=3+8f(-1)=3+8

Add 33 and 88.

f(−1)=11f(-1)=11

The final answer is 1111.

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8 0
3 years ago
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Natalija [7]

Answer:

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3 0
4 years ago
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kherson [118]

Step-by-step explanation:

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Even if im not correct I hope it helped a bit

5 0
2 years ago
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