Answer:
56 7/10
Step-by-step explanation:
convert 40 1/2 to a fraction 40 1/2 = 81/2
multiply both sides by 7/5
this gets w by itself on the left
81/2 x 7/5 = 567/10 = 56 7/10
Answer:
- one negative real root in [-5, -4]; two complex roots
- the complex roots cannot be isolated in the same way.
Step-by-step explanation:
A graphing calculator is a wonderful tool for this. It shows the one real root to be near -4.062, so between -5 and -4.
The value of the cubic at x = -5 is -315; at -4 it is +15, so the root is definitely between those values.
The one real root is isolated to being between (-5, -315) and (-4, 15). The complex roots are not isolated.
Answer:
Length of side of square
Step-by-step explanation:
Sides of rectangle
let
be diagonal of rectangle
<u><em>Pythagorean theorem : The square of hypotenuse is equal to sum of square of sides.</em></u>
Here hypotenuse 

Diagonal of square 
let side of square
again use pythagorean theorem

Answer:
When we have a function y = f(x)
The set of the possible values of x is called the domain, and the set of the possible values of y is called the range.
In this case, we have:
x = age, and y = price.
x y
< 5 $0
5 - 17 $25
18 - 64 $40
≥ 65 $35
Then the range is the possible age of the customer, and it goes for all the possible ages (as whole numbers)
So the domain will be the set of all the positive integers:
D = {1, 2, 3, 4, 5, ...}
(of course, we can not have an age equal to 1300 or infinity, but we really can not cap the domain)
The range is the possible values of y, in this case is discrete, because we have only 4 possible prices, so the range is:
R = {$0, $25, $40, $35}