#1)
-5-3=-8
-2x=-8
x=4
#2
D.) 5-2=3
#3
D.) 5×-2=-10
Answer:
Yes,he can go to scuba diving
Step-by-step explanation:
Given the has $118 american dollars
Also given that the relation betweeen the australian and american currency is y = 1.03x where y is the amount in australian currency and x is the amount in the american currency.
Now we have x= 118.
So the guy has $121.54 Australian dollars and the scuba diving is $120 Australian dollars.Since it cost's less he can afford the scuba diving.
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:
f(w) = 120 + 5(30-h)
Step-by-step explanation:
It is given that, Andrew gets paid $4 for first 30 hours of the week
So,
For first 30 hours, his wage will be:
4(30) = $120
Now, let w denote wages and h denote total number or hours he works in the week
So he will be paid $5 for h-30 hours
So the function will be
f(w) = 120 + 5(30-h)
Where $120 is the fixed income for first 30 hours and the second term is the wage of hours more than 30 at the rate of $5 per hour..
The answer would be x = 85
