Compare the following numbers using < or >?

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

21. 5.65 > 5.1
22. 6.2 < 6.5
23. 4.1 < 4.5
24. 7 < 7.1
25. 9.9 > 9.3
26. 4.1 < 4.5
27. 8.6 >8.1
28. 3.4 < 4.5
29. 4 > 3.9
30. 1.4 < 1.75
31. 7.1 < 7.5
32. 3 < 3.01

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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.

7 0

3 years ago

I did 24 hours on my speed paint if i did it for 4 more days how many minutes would that be?

Juli2301 [7.4K]

Answer:

7,200 minutes.

Step-by-step explanation:

5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours

120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.

Hope this helps, and I love your art!

7 0

3 years ago