Probably C because it’s the smallest one
L(x) = f'(a)(x - a)
f(x) = x^(-1), f'(x) = -x^(-2)
Let a = 1, f'(a) = -(1)^(-2) = -1
L(0.9) = f'(1)(0.9 - 1) = -1(-0.1) = 0.1
Therefore, linear approximation of f(x) = x^(-1) for x = 0.9 is 0.1
Let x equal the # of coach tickets
Let y equal the # of first class tickets
x + y = 16
260x + 970y = 10,550
Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.
x + y = 16
x = 16 - y
Now substitute the resulting expression into the other equation and solve for y.
260( 16 - y ) + 970y = 10,550
4160 - 260y + 970y = 10,550
Combine like terms
4160 + 710y = 10,550
Subtract 4160 from both sides
710y = 6390
divide by 710
y = 9
Substitute the value of y into the equation that we solved for x, x=17−y.
x = 17 - 9
x = 8
Therefore the answer is, 8 coach tickets and 9 first class tickets.
Answer:
x = -12
Step-by-step explanation:
−10x + 1 + 7x = 37
Combine like terms
-3x+1 = 37
Subtract 1 from each side
−3x + 1 -1 = 37-1
-3x = 36
Divide each side by -3
-3x/-3 = 36/-3
x = -12