Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Answer:
D
Step-by-step explanation:
We need the formula for arc length (in radians) to solve this problem. The formula is:
Where
s is the arc length
r is the radius of the circle
is the intercepted angle
In this diagram, we can see that is beign intercepted by the big arc with measure 20 cm. So arc length, s, is 20
Also, if we look, we see that the radius is 5 cm, so r = 5
Now, we substitute into formula and find :
This is given in radians, so is 4 radians
D is the correct answer choice.
Travis got 43 dollars
Robin collected 35 percent more so we can model this with
Travis + (Travis x .35)
43 + 15.05 =58.05
Jessica colelcted 20 percent less so
Travis - (Travis x .20)
43 - 8.6 = 34.3
34.4 + 58.05 + 43 = 135.45
C is the closest
Answer:
x ≤ 25mph
Step-by-step explanation:
Given that :
Speed limit drops to 15 miles per hour at curve
Driver slows down by 10 miles per hour as he drives around the curve
The driver's speed before reaching the curve is :
Let speed befure curve = x
Lowest speed before curve = 15 +. 10 = 25 mph
x ≤ 25mph
