Answer:
12y-8
Step-by-step explanation:
If you distribute the 2 you will 12y-8
Answer:
D
Step-by-step explanation:
15.
6 pachages
each pcage has 30
6*30=180 total
17 left over
how many used
used=total-left over
used=180-17
used=163
16. xy is 2 digit number
multiplules of 10 (whole multipules) always end with 0 so y=0
and has 3 as one of its factors
factors of 3 is 3,6,9,12
30,60,90 is answer
17.
30 in 9 parks
30 times 9
30=10 times 3
3*10*9
group the 3 and 9
10*(3*9)
3*9=27
10*(27)
270
15. 163
16. 30,60,90
17. see above, 270
Answer: 120
<u>Step-by-step explanation:</u>
Ratio Quantity
Boys: 5 80 + x
Girls: 3 x
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
#SPJ1
