Answer:
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Step-by-step explanation:
There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?
Answer:
y = 5x - 9
Step-by-step explanation:
y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)
y - 6 = 5(x - 3)
y = 5x - 15 + 6
y = 5x - 9
Answer:
X-12
X×4
X + 7
X x 2/3
Step-by-step explanation:
The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
