Answer: -15
Step-by-step explanation: negative times a positive is a negative.
Answer:
x = π/2, 7π/6, or 11π/6
Step-by-step explanation:
sin² x − cos² x − sin x = 0
Use Pythagorean identity to write cosine in terms of sine.
sin² x − (1 − sin² x) − sin x = 0
sin² x − 1 + sin² x − sin x = 0
2 sin² x − sin x − 1 = 0
Factor:
(2 sin x + 1) (sin x − 1) = 0
Solve:
sin x = -1/2 or 1
x = π/2, 7π/6, or 11π/6
Answer:
C
Step-by-step explanation:
Multiply by 12 on both sides.
Start with step one
y/3 - 1/4 = 5 Multiply both sides by 12
12(y/3 - 1/4) = 5*12
12*y/3 - 12 * 1/4 = 60
3 goes into 12 four times
4 goes into 12 three times. In both cases you are cancelling.
4y - 3 = 60
F(x)=x^2+2x+1 & g(x)=3(x+1)^2
now, f(x)+g(x)
=x^2+2x+1+3(x+1)^2
=x^2+2x+1+3(x^2+2x+1)
=x^2+2x+1+3x^2+6x+3
=4x^2+8x+4<===answer(c)
next:
f(x)=x^2-1 & g(x)=x+3
now, f(g(x))=(x+3)^ -1
=x^2+6x+9-1
=x^2+6x+8<====answer(b)
i solve two of ur problems.
now try the 3rd one that is similar to no. 1
and try the last two urself.