1) 3cos²x - 5(1 - sin²x) = 3cos²x - 5cos²x = - 2cos²x
2) √(2 - √5)² + 2⁴√25 = |2 - √5| + 16 · 5 = √5 - 2 + 80 = √5 + 78
F(-3) = 2*(-3) -3 = -6-3=-9
F(2-3x) = 2*(2-3x) - 3= 4-6x-3=1-6x
F(x^2 - 4) = 2*(x^2 - 4) -3= 2x^2-8-3=2x^2-11
2(1/2*sin3x-√3/2cos3x)=0
2sin(3x-π/3)=0
3x-π/3=πn
3x=π/3+πn
x=π/9+πn/3,n∈z
1. 1-5х² при х=-4
1 - 5•(-4)² = 1 - 5•16 = 1-80=-79
2. а^10•а^15=а^(10+15) = а^25 а^16:а^11=а^(16-11)=а^5
(а^7)³=а^(3•7)=а²¹
(3х)^5=3^5•х^5=15х^5
а а⁴ а⁴
(——)⁴ = — = —
5 5⁴ 625
(10^15•10^7)/10^19 = 10^22/10^19 = 10^(19-22) = 10^-3
7^8/(7•7^5)=7^8/7^6=7^2
(13²-12²)²+(6²+7⁴)^0 = (13²)²-2•13²•12²+(12²)²+1= 13⁴-2•156²+12⁴+1=
10^6х=1000
х=-3
10^(6-3)=10^3=1000
(25²•5^5)/5^7 = 25²/5² = 2
шестую задачу не видно:)
3y + 9/5 + 5y - 5/4 = 6 + 3y + 1/2
8y + 1,8 - 1,25 = 3y + 6,5
8y + 0,55 = 3y + 6,5
8y - 3y = 6,5 - 0,55
5y = 5,95
y = 5,95 ÷ 5
y = 1,19