You can buy 2 green shirts for 23 dollars, so you have 7.1 dollars left! Or $7.10 left.
Answer:
x = 15
Step-by-step explanation:
A full circle = 360°
Therefore,
(8x - 10)° + (6x)° + (10x + 10)° = 360°
Solve for x
8x - 10 + 6x + 10x + 10 = 360
Add like terms
24x = 360
Divide both sides by 24
x = 360/24
x = 15
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
Answer:
Equation: 65+1.50m=78.50
Solution to the equation= 9 minutes
Step-by-step explanation:
The parents have to give 65 dollars for their children to be under care till 6 o'clock. AFter 6 o'clock, they had to pay 1.50 dollars for one minute. This parent gives a total of 78.50 dollar for that day. So, the equation is :
65+1.50m=78.50
(btw, m stands for minutes)
So to solve the equation:
1.50m=13.50
m= 9
Answer:
Given functions,


Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))


Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))


Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))




Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)