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romanna [79]
3 years ago
13

Indicate whether each of the following equations is sure to have a solution set of all real numbers. Explain your

Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

a) 0 = -2 is not a valid equality. So a) will not have a solution set of all real numbers.

b) 0 = 0 is a valid equality for all real numbers. So b) will have a solution set of all real numbers.

c) 0 = 0 is a valid equality for all real numbers. So c) will have a solution set of all real numbers.

d) 24x^{3} = 72x^{3} is only valid for x = 0. So d) will not have a solution set of all real numbers.

Step-by-step explanation:

a)

3(x+1) = 3x + 1

3x + 3 = 3x + 1

3x - 3x = 1 - 3

0 = -2

0 = -2 is not a valid equality. So a) will not have a solution set of all real numbers.

b)

x + 2 = 2 + x

x - x = 2 - 2

0 = 0

0 = 0 is a valid equality for all real numbers. So b) will have a solution set of all real numbers.

c)

4x(x+1) = 4x + 4x^{2}

4x^{2} + 4x = 4x + 4x^{2}

4x^{2} - 4x^{2} = 4x - 4x

0 = 0

0 = 0 is a valid equality for all real numbers. So c) will have a solution set of all real numbers.

d)

3x(4x)(2x) = 72x^{3}

24x^{3} = 72x^{3}

This is only valid for x = 0. So d) will not have a solution set of all real numbers.

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i need the answer no playing around please and if the answer is right i will give you a thanks and full stars pleaseeeee
MrRa [10]

Answer:

50+50x

Step-by-step explanation:

they're asking you to use distributive property

so what you have to do is multiply everything that is in the parenthesis by 10

5x10=50

5x10x=50x

so the answer is 50+50x

have a great day :D

7 0
3 years ago
Read 2 more answers
What is the equivalent expression 9(2a+1)
elena-14-01-66 [18.8K]
18a+9 is equivalent
3 0
3 years ago
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If the area of the rectangle avove is 180 spuare inches, then x =
oksano4ka [1.4K]

Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.

Hence, option A is the correct answer.

This question is incomplete, the missing diagram is uploaded along this answer below.

<h3>What is the value of x?</h3>

Area of a rectangle is expressed as; A = l × b

Given that;

  • Length of the rectangle l = 20in
  • Breadth b = x
  • Area A = 180in²

A = l × b

180in² = 20in × x

x = 180in² / 20in

x = 9in

Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.

Hence, option A is the correct answer.

Learn more about area of rectangle here: brainly.com/question/12019874

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4 0
2 years ago
Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measuremen
olasank [31]

Answer:

The answer is 20 degrees

Step-by-step explanation:

A trapezoid is a quadrilateral with four angles and the sum of the four angles is 360 degrees.

Britton rotated the trapezoid ABCD 180º, but we were not told that he tampered with the angles size or shape, we can now agree that it is still the same trapezoid that was rotated without any alterations in angles, size and shape.

Since we've been given that the angle B is 20º, and the measurement was not altered when rotating the trapezoid. Therefore the angle B' will also be 20º.

I hope this helps.

6 0
3 years ago
Read 2 more answers
The following values of (x) and f(y) are given. Find the best value of (dy/dx) at
velikii [3]

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334

4 0
3 years ago
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