Антон выписал на доску три натуральных числа: a, b,c. А Ира нарисовала на доске три прямоугольника: ab, ac и bc. Оказалось, что разность площадей какой-то пары прямоугольников равна 1, а разность площадей другой пары прямоугольников равна 64. Чему может быть равно a+b+c? Укажите все возможные варианты.
1,3^(5x-1) -1,3^(5x-3) > 0 ,69 ⇔ 1,3^(5x-3) *(1,3² -1) > 0 ,69 ⇔
1,3^(5x-3) *(1,69 -1) > 0 ,69 ⇔1,3^(5x-3) *0,69 > 0 ,69 ⇔1,3^(5x-3) > 1⇔
1,3^(5x-3) > 1,3⁰ ⇔ 5x-3 >0 ⇔x > 3 / 5 . || т.к. 1,3 >1 ||
наименьшее целое решение неравенств будет 1.
ответ : 1.
3.
0,6 ^ x > 3 ^x ;⇔ (3/0,6) ^x < 1 ⇔5^x < 5⁰⇒ x <0
наибольшее целое решение неравенства будет -1 .
ответ : -1.
4.
0,5^x ≤ 4^x ⇔ 1 ≤ (4 /0,5) ^x ⇔8^x ≥8 ⁰⇒ x ≥ 0.
ответ : x∈ [ 0 ; ∞).
5.
7,1^ ((x²+3) /(x-5) ) ≥1⇔ 7,1^ ((x²+3) /(x-5) ) ≥7,1⁰ ⇔ (x²+3) /(x-5 ) ≥ 0 ⇒
x >0 .
ответ : x∈ ( 0 ; ∞).
delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account.delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account.delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account.
delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account delete my account,delete my account,delete my account,delete my account, delete my account,delete my account,delete my account,delete my account.