Answer:
(de/dt) = 0.70929
Step-by-step explanation:
Given
V = 4*e² + 4*g³
where
- V is the value of the graduate
- e is the number of years of prior business experience
- g is the graduate school grade point average
If V = 300 (constant)
g = 2.9
dg/dt = - 0.4
de/dt = ?
we have to get e as follows
V = 4*e² + 4*g³ ⇒ (V/4) = e² + g³ ⇒ e = √((V/4) - g³)
⇒ e = √((300/4) - (2.9)³)
⇒ e = 7.1141
Then we apply
dV/dt = d(4*e² + 4*g³)/dt
d(300)/dt = 4*((2*e*de/dt) + 3*g²*(dg/dt))
0 = (2*e*de/dt) + 3*g²*(dg/dt)
⇒ 0 = 2*(7.1141)*(de/dt) + 3*(2.9)²*(- 0.4)
⇒ (de/dt) = 0.70929
Answer: y-7 = 4(x+3), choice B
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Point slope form is generally
y-y1 = m(x-x1)
we have m as the slope and (x1,y1) as the point this line goes through. In this case,
m = 4
(x1,y1) = (-3,7) so x1 = -3 and y1 = 7
So,
y-y1 = m(x-x1)
y - 7 = 4(x - (-3))
y - 7 = 4(x + 3)
which is why choice B is the answer
Answer:
1 theater
Step-by-step explanation:
Given
--- Popcorn
--- Movie
See attachment for the table that shows ticket and popcorn prices at five movie theater chains
Required
The number of theaters that supports the given inequality
The given inequality can be combined to give:
From the table entries, only one theater supports this inequality.
Where
--- Movie
--- Popcorn
Which gives:
Answer:
-13
Step-by-step explanation:
{(-4)² + (-2)(-5)} / -2
= {16 + 10} / -2
= 26 / -2
= -13
Answer:
1. -21
2 . 14
3. -5
sorry if I'm wrong
Step-by-step explanation:
1. f(x) = 4 (-3) -9
f(x) = -12 - 9
f(x) = -21
2. f(x) = 1/3(-3) +13
f(x) = 1 + 13
3. f(x) = -2 (-3) -11
f(x) = 6 - 11
