Answer:
y = 108x + 216
Step-by-step explanation:
given
y = 4x³ then 
= 12x² = 
x = 3 ⇒ m = 12(- 3)² = 108
equation of tangent in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept ), hence
y = 108x + b
To find b substitute (- 3, - 108) into the equation
- 108 = -324 + b ⇒ b = - 108 + 324 = 216
y = 108x + 216 ← equation of tangent
We can determine the value of the adult ticket cost and student ticket cost by following these steps:
1. solve form one of the variables from one of the equations
Let's solve for a from 2a + 2s = 40
2a + 2s = 40
2a + 2s - 2s = 40 - 2s
2a = 40 - 2s
2a/2 = 40/2 - 2s/2
a = 20 - s
2. Replace the expression found and solve for s
4a + 5s = 87
4(20 - s) + 5s = 87
4×20 - 4×s + 5s = 87
80 - 4s + 5s = 87
80 + s = 87
80 - 80 + s = 87 - 80
s = 7
3. Replace 7 for s into a = 20 - s
a = 20 - 7
a = 13
Then, a = 13 and s = 7.
Then the adult ticket cost is $13 and the student ticket cost is $7
<em>11</em>
5 pound = 500 pence
500 pence/ 45 pence= 11.1111111
4 is 101 and 1 and 3 are 129
So there are 64 * 5/8 guitarists.
That means that there are 40 guitarists.
Out of the 40, 3 out of 4 have classical solos.
So 40 * 3/4 is 30 classical solos.
