Answer:
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Step-by-step explanation:
sinx can run from -1 to +1
2sinx can run from -2 to +2
2sinx -1 can run from -3 to +1
However, the square root is imaginary when x < 0. So, the condition is
2sinx -1 ≥ 0
2sinx ≥ 1
sinx ≥ ½
x ≥ π/6 (30°)
So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6
However, the sine is a cyclic function and repeats itself every 2π.
Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).
The domain is then
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
ANSWER: 1 is a subset of 3,5,7
Answer is in a photo. I can only upload it to a file hosting service. link below!
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<u>Answer:</u>
The net price of the product is $1445.
<u>Solution:</u>
Given, regular price of a product is $1500 and it has a discount at the rate of 3%
We have to find the final price of the product.
We know that, <em>final product of price = regular price – discount price
</em>
Final price of product = 1500 – 3% of 1500
Final price of product 
= 1500 – 3
15 = 1500 – 45
Final price = 1455
Hence, the net price of the product is $1445.
Answer:
(-(7-9))(z)-6z= 8(-6+2)
Simplify
-(-2)(z) -6z =8(-6+2)
Multiply 8*-6 and 8*2
2z -6z= -48+16
Combine like terms
2z+-6z =-32
-4z=-32
Divide both sides by -4
z=8
Step-by-step explanation: