Answer:
y=3,6,9,12,15
Step-by-step explanation:
Y=3x+6
y=3(-1)+6
y=3
y=3(0)+6
y=6
y=3(1)+6
y=9
y=3(2)+6
y=12
y=3(3)+6
y=15
Answer:
(a) B
(b) $2
Step-by-step explanation:
(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:
12t + 8p = 184
9t + 6p = 138
We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:
3 * (12t + 8p = 184)
4 * (9t + 6p = 138)
We get:
36t + 24p = 552
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 36t + 24p = 552
________________
0 = 0
Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.
(b) Our equation from this, if we still use t and p, is:
5t + 4p = 82
Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:
5t + 4p = 82
9t + 6p = 138
To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:
6 * (5t + 4p = 82)
4 * (9t + 6p = 138)
We get:
30t + 24p = 492
36t + 24p = 552
Subtract the second from the first:
36t + 24p = 552
- 30t + 24p = 492
________________
6t + 0p = 60
So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:
5t + 4p = 82
5 * 10 + 4p = 82
50 + 4p = 82
4p = 32
p = 32/4 = $8
So the ticket costs 10 - 8 = $2 more dollars than the popcorn.
Answer:
The period is 360° ( in radians, the period is 2π)
Step-by-step explanation:
For a sine/cosine (sinusoidal) function in the form
y = ASin(Bx-C) + D, we can say
A is the amplitude
360/B is the period
C is the phase shift
D is the vertical translation
<em>The function given is y = 2Sinx</em>
To find the period, we need 360/B. Since "B" is just "1", the period is
360/1 = 360
So the mean without 894 would be 52.57
with the 894, the mean would be 157.75
idk what your options are, but there ya go
Yes bc 6 groups and a bout 4 are in it ...........
