Answer:
175 adults
360 senior citizens
Step-by-step explanation:
Let x be the number of senior citizens
There were a total of 535 people, so
(535-x)=total number of adults
Total receipts=$8,355
Adult payments+Senior payments=$8,355
21(535-x)+13x=$8,355
$11,235-21x+13x=$8,355
$11,235-8x=$8,355
-8x=$-2,880
x=360 senior citizens
Number of adults=535-360=175 adults
To check, just substitute...
21(175)+13(360)
3,675+4,680
Which equals.....
$8,355
Y=mx+b
Y1-Y2/X1-X2
14-10/5-3 = 4/2 = 2
Plug in (3,10):
(10)=2(3)+b
Solve:
10=6+b
B=4
M=2
Answer:
A.) the function is increasing on the interval (-∞, 0) and decreasing on interval (0,∞)
Step-by-step explanation:
9514 1404 393
Answer:
- -√5
- 3/5
- -4/5
Step-by-step explanation:
The relevant relations are ...
sec = ±√(tan² +1)
cos = 1/sec
csc = 1/sin = ±1/√(1 -cos²)
Sine and Cosecant are positive in quadrants I and II. Cosine and Secant are positive in quadrants I and IV.
__
1. sec(θ) = -√((-2)² +1) = -√5
2. cos(θ) = 1/sec(θ) = 1/(5/3) = 3/5
3. csc(θ) = -1/√(1 -(-3/5)²) = -√(16/25) = -4/5
2x - 3y = -24
x+ 6y = 18
you solve the first one by the x:
2x = -24 + 3y
x = (-24+3y)/2
then you substitute what you found in the other equation and you solve by y
(-24+3y)/2 + 6y = 18 multiply everything by 2
-24 + 3y + 12y = 36
3y + 12y = 36 + 24
15y = 60
y = 60/15
y = 4
Good job! You found your y! :D
Now let's substitute the y in the first equation with 4:
2x - 3(4) = -24
2x - 12 = -24
2x = -24 + 12
2x = -12
x = -12/2
x= -6
Done!! ;) <span />