Try this option:
the rule: if f(-x)=f(x), then the function f(x) is even, if f(-x)=-f(x) then the function is odd.
1. f(x)=-5x⁴-2;
if to substitute x→(-x), then f(-x)=-5*(-x)⁴-2; ⇔ f(-x)=-5x⁴-2, in other words f(x)=f(-x), it means that this function is even.
2. f(x)=x³+2x.
if to substitute x→(-x), then f(-x)=(-x)³+2*(-x); ⇔ f(-x)=-(x³+2x), in other words f(-x)=-f(x), it means that this function is odd.
Answer:
a) The demand function is
b) The nightly revenue is
c) The profit function is
d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:
Since the demand takes the value 79 in 7, then
b) The nightly revenue can be found by multiplying q by p
c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)
d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P
Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Answer:
y= 3x-17
Step-by-step explanation:
When finding a parallel equation to y=mx+b, mx will always stay the same. So we have to find b.
In order to do this you plug the parallel lines passing point into the equation.
-5(y) goes into the y's spot. 4(x) goes into the x's spot.
-5 = 3 x 4 + b
-5 = 12 + b
-5 - 12 = 12 - 12 + b
-17 = b
y=3x-17
A radius of a circle or sphere is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Set up the formula for the area of a circle. The formula is A = π r 2 it equals the area of the circle, and r equals the radius.
Solve for the radius.
Plug the area into the formula.
Divide the area by.
Take the square root.
Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
