Answer:
x >>>>>>>> f(x)
–9 >>>>>> 10
–7 >>>>>>> 0
0 >>>>>>>> –35
5 >>>>>>>> –60
Step-by-step explanation:
f(x) = –5(x + 7)
1. x = –9, f(x) =?
f(x) = –5(x + 7)
f(x) = –5(–9 + 7)
f(x) = –5(–2)
f(x) = 10
2. f(x) = 0, x =?
f(x) = –5(x + 7)
0 = –5(x + 7)
Divide both side by –5
0 / –5 = x + 7
0 = x + 7
Collect like terms
x = 0 – 7
x = –7
3. x = 0, f(x) =?
f(x) = –5(0 + 7)
f(x) = –5(7)
f(x) = –35
4. f(x) = –60, x =?
f(x) = –5(x + 7)
–60 = –5(x + 7)
Divide both side by –5
–60 / –5 = x + 7
12 = x + 7
Collect like terms
x = 12 – 7
x = 5
SUMMARY:
x >>>>>>>> f(x)
–9 >>>>>> 10
–7 >>>>>>> 0
0 >>>>>>>> –35
5 >>>>>>>> –60
Answer:
5.25 is the lenght of the arc AB.
Step-by-step explanation:
First, since we are told the answer should be expressed in radians, we need to convert the arc angle into radians, we do that by multiplying the angle by π and dividing by 180.
60° * π/180 = 1.05rad
Now, there is a simple formula to calculate the arc lenght, A = Ф*r, where:
A = arc lenght
Ф = arc angle (60°=1.05rad)
r = radius (5cm)
A = 1.05*5cm
A = 5.25cm
Answer:
$5829.57
Step-by-step explanation:
Annually compounding interest formula: 
5000(1+.0525)^3
5829.567266
which rounds to: 5829.57
Answer:
all are functions
Step-by-step explanation:
a function is when each x has a y
a relation is when 1 x has more than 1 y which makes it invalid therefore not a function
The sine of 1/2 the angle = 13 / 32
so this angle = 23.9695 degrees
Therefore the required angle = 2 * 23.9695 = 47.939 to 3 DP's.
