Verified answer

the answer is 7. its always 7

"whats yor fav color??"

7

"where do you live?"

7

I did the vertex one at your other post

x² - 6x + 10 = 0

x = [-b ± √(b² - 4ac)] / 2a

x = [6 ± √(36 - 40)] / 2

x = [6 ± √(-4)] / 2

x = [6 ± √(4i²)] / 2 ... [b/c i² = -1]

x = [6 ± 2i] / 2

x = 3 ± i

x³ + 8c³ = x³ + (2c)³

= (x + 2c)(x² - 2cx + 4c²) ... [using the rule a³ + b³ = (a + b)(a² - ab + b²)]

4^x = 11

take logs to base 10 of both sides:

x log 4 = log 11

x = log 11 / log 4 ←←[exact answer]

x = 1.7297 ←←[approximate answer to 4 dec pl]

EDIT: oops they want to the nearest hundredth ... so x = 1.73 (to nearest hundredth)

2 log x + log 11 = log x² + log 11

= log (x² * 11)

= log (11x²)

log (base 4) (5x - 1) = 3

4³ = 5x - 1

64 = 5x - 1

5x = 65

x = 13

The last two I did at your other post