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pogonyaev
3 years ago
12

Which statements are correct for all values of x?

Mathematics
1 answer:
Kruka [31]3 years ago
8 0
A), C), D), and E are all true because if you were to solve them, both sides of the = sign would be the same number. For example, if I were to solve the first one (A), I would get 16x=16x
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If -3m + 1 > 7, which of the following is a solution set for m?
Papessa [141]

ANSWER

m < -2

EXPLANATION

We want to find the solution set for m in:

-3m+1>7

First, collect like terms:

\begin{gathered} -3m>7-1 \\ -3m>6 \end{gathered}

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

\begin{gathered} \frac{-3m}{-3}>\frac{6}{-3} \\ m

This means that all values of m must be less than -2.

<em>None of the options contains the correct solution set.</em>

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
alexira [117]

Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = \frac{-k\pm\sqrt{k^2-4hc}}{2h}

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  = \frac{-9\pm\sqrt{81-336}}{2(12)}

  = \frac{-9\pm\sqrt{-255}}{24}

  = \frac{-9\pm i\sqrt{255}}{24}

a = \frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}

Therefore, Option B will be the correct option.

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