Answer:
169 Speeding Tickets, 206 Warnings.
Step-by-step explanation:
If there were 37 more warnings than tickets, then the first thing you want to do is remove that from the total by subtracting it: 375-37 = 338.
You then halve this to split them into tickets and warnings: 338/2 = 169.
Lastly, you add back the 37 more warnings, giving you 169 speeding tickets and 206 warnings.
Answer: The side length of the pet shop sign=5/4 inches
Step-by-step explanation:
Given: Candy draws a square design with a side length of x inches for the window at the pet shop.
She takes the design to the printer and asks for a sign that has an area of 
square inches.
Let y(x) =
differentiating both sides w.r.t x we get
y'(x)=32x-40
to find critical point x ,Put y'(x)=0 then
⇒32x-40=0
⇒x=5/4
Therefore the side length of the pet shop sign=5/4 inches.
A.) P(t) = 130t - 0.4t^4 + 1200
The population is maximum when P'(t) = 0
P'(t) = 130 - 1.6t^3 = 0
1.6t^3 = 130
t^3 = 81.25
t = ∛81.25 = 4.3 months.
Maximum population P(t)max = 130(4.3) - 0.4(4.3)^4 + 1200 = 1,622
b.) The rabbit population will disappear when P(t) = 0
P(t) = 130t - 0.4t^4 + 1200 = 0
t ≈ 8.7 months
Answer:
x = -7/4
Step-by-step explanation:
"Eight times a number equals 4 times that number less 7."
Subtracting 4x from both sides of this equation, we get:
4x = -7
Dividing both sides of this result by 4 yields
x = -7/4
x^( 2a - b ) + ( 2b + c ) + ( 2c + a ) =
x^2a + a + 2b - b + 2c + c =
x^3a - b + 3c
