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Andrew [12]
2 years ago
14

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Mathematics
1 answer:
Sophie [7]2 years ago
7 0

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

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IrinaK [193]
Answer : X^2+6x+9
(X+3)(x+3)
7 0
3 years ago
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3(12x – 9) + 9 = 2x + 4<br> Would this be infinite solution, one solution or no solution?
timama [110]

Answer:

One solution

Step-by-step explanation:

Let us first <u>expand</u> the left side of the equation to rid of the parenthesis:

3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4

Now let us <u>isolate</u> the variable to sove for x:

36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}

Therefore, x=\frac{11}{17}. As you can see, there is just one solution.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

8 0
3 years ago
Find the factors and zeros of 6x^2 +8x-28=2x^2 + 4
Mice21 [21]

Answer:

First solve the equation:

6x^2 + 8x -28 = 2x^2 + 4

=> 6x^2 - 2x^2 + 8x - 28 -4 = 0 => 4x^2 + 8x - 32 = 0

Extract common factor 4:

=> 4[x^2 + 2x - 8] = 0

Now factor the polynomial:

4(x + 4) (x - 2) = 0

=> the solutions are x + 4 = 0 => x = -4, and x - 2 = 0 => x = 2.

So the answer is the option B: 4(x + 4)(x - 2); {-4, 2}

HOPE THIS HELPS! :D

4 0
2 years ago
The price of a coat increased from $78 to $92. What is the price increase percentage?
blagie [28]

Answer:

18%

Step-by-step explanation:

Since the original price is $78 then this is the original 100% of the price. The new price will be marked up x percent and be $92. To find the new price set up a proportion with these values:

\frac{92}{78}=\frac{x}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(78) = 92(100)

78x = 9200

x= 117.9 = 118%

This is 18% more or over the original price.


5 0
3 years ago
What is the answer to y the in the problem <br><br> 8y+y=63
GuDViN [60]

Answer:

y=7y=7y=7

Step-by-step explanation:

How to solve your question

Your question is

8+=63

8y+y=638y+y=638y+y=63

Solve

1

Combine like terms

8+=63

8y+y=63{\color{#c92786}{8y}}+{\color{#c92786}{y}}=638y+y=63

9=63

9y=63{\color{#c92786}{9y}}=639y=63

2

Divide both sides of the equation by the same term

3

Simplify

Solution

=7

y=7y=7y=7

3 0
3 years ago
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