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klemol [59]
3 years ago
10

How many solutions does 10+5x=5x+10 have?

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0
Simplifying
10 + 5x = 5x + 10

Reorder the terms:
10 + 5x = 10 + 5x

Add '-10' to each side of the equation.
10 + -10 + 5x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
0 + 5x = 10 + -10 + 5x
5x = 10 + -10 + 5x

Combine like terms: 10 + -10 = 0
5x = 0 + 5x
5x = 5x

Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 5x + -5x

Combine like terms: 5x + -5x = 0
0 = 0

Solving
0 = 0
Answer: 0 solutions
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How many, and what type of, solutions does 4x² + 12x + 9 = 0 have? 2 irrational solutions 1 rational solution 2 nonreal solution
SVEN [57.7K]

The discriminant is

\sqrt{ {12}^{2}  - 4(4)(9)}

which is 0.

Since the discriminant is 0, there is only one real solution.

4 0
4 years ago
Which expression is equivalent to (x^4/3 x^2/3)^1/3?
KATRIN_1 [288]

Answer: x^{\frac{2}{3} }

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

(x^{a})(x^{b}) = x^{a + b} <em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>

(x^{a})^{b} = x^{(a)(b)} <em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>

<em />

Let's apply it!

First, let's simplify what's inside the parenthesis.

x^{\frac{4}{3} } x^{\frac{2}{3} } <em>(Remember, they have the same base of "x", so we can add the exponents)</em>

x^{\frac{4}{3} + \frac{2}{3} } = x^{\frac{6}{3} } = x^{2}

Now we have (x^{2})^{\frac{1}{3} }. Let's use the second rule.

(x^{2})^{\frac{1}{3} } = x^{\frac{2}{3} }

Hope this helps! :^)

7 0
3 years ago
Help with numbers 5-10
zaharov [31]

the answer of this equation is -5

5 0
3 years ago
Read 2 more answers
Which expression could help you find the distance
Allisa [31]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

Correct Expression :

\qquad \tt \rightarrow \:  |10|  +  | - 6|

\qquad \tt \rightarrow \: distance = 16\:\: units\degree

____________________________________

\large \tt Solution  \: :

\textsf{Using distance formula -}

\qquad \tt \rightarrow \:  \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2}  }

\qquad \tt \rightarrow \:  \sqrt{( - 6 - 10) {}^{2}  + (4 - 4) {}^{2} }

\qquad \tt \rightarrow \:  \sqrt{( - 16) {}^{2}  + 0}

\qquad \tt \rightarrow \:  \sqrt{256}

\qquad \tt \rightarrow \: 16 \:  \: units

For short it can be expressed as :

\qquad \tt \rightarrow \:  |10|  +  | - 6|  = 10 + 6 = 16

[ y - coordinate of both the points are same ]

Correct option - D

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

7 0
2 years ago
(2+1/2) (2^2-1+1/4) find the expression in the form of cubes and differences of two terms.​
Elden [556K]

Answer:

<u>Consider the following identity:</u>

  • a³ - b³ = (a + b)(a² - ab + b²)

<u>Let a = 2, b = 1/2</u>

  • (2 + 1/2)(2² - 2*1/2 + 1/2²) =
  • 2³ - (1/2)³ =
  • 8 - 1/8
8 0
3 years ago
Read 2 more answers
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