MARKING PEOPLE AS BRAINLIST

Mathematics

1 answer:

Dimas [21]3 years ago

4 0

Answer:

Step-by-step explanation:

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Is integer x<−20 ? x2+40x+391=0 x2=529 Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer

sukhopar [10]

Answer:

Both statements (1) and (2) TOGETHER are sufficient to answer the question asked; but NEITHER statement ALONE is sufficient.

Step-by-step explanation:

Solving the equation of statement (1) with the quadratic formula:

$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2+40x+391=0\\x_{1,2}=\frac{-40\pm\sqrt{40^2-4(1)(391)}}{2(1)}\\x_{1,2}=\frac{-40\pm\sqrt{1600-1564}}{2}\\x_{1,2}=\frac{-40\pm\sqrt{36}}{2}\\x_{1}=\frac{-40+6}{2}=\frac{-34}{2}=-17\\x_{1}=\frac{-40-6}{2}=\frac{-46}{2}=-23\\$

In this equation, one of the values of x is bigger than -20 but the other is smaller, this statement doesn't give enough information to answer the question.

Solving the quadratic equation of the statement (2):

$x^2=529\\x_{1,2}=\pm\sqrt{529} \\x_1=\sqrt{529}=23\\x_2=-\sqrt{529}=-23$

Again, one of the values of x is bigger than -20 and the other is smaller than -20. But if the information of this statement is considered along with the other x must be equal to -23, that is the value that appears as an answer in both equations, and with this information is possible to answer the question.

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3 years ago

Find the probability of taking a vacation in July.

Nata [24]

Answer:

1/2

Step-by-step explanation:

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3 years ago

At a company meeting, there were 996 people in attendance. 25% of them were managers. How many managers were in the meeting?

nalin [4]

They are asking for managers so 996 of them are there, 25% are managers