Explanation
Problem #2
We must find the solution to the following system of inequalities:
(1) We solve for y the first inequality:
Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:
The solution to this inequality is the set of all the points (x, y) over the line:
This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:
The solution to this inequality is the set of all the points (x, y) below the line:
This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions:
Answer:
The length of Ms. Ford's kitchen is 57.5 feet.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The kitchen is rectangular.
- Ms. Ford wants to buy 5 extra feet of wallpaper border.
- She buys a total of 62.5 feet of wallpaper border.
2. Therefore, to calculate the length of Ms. Ford's kitchen, you only need to substract 62.5 feet and the 5 extra feet of wallpaper border. Therefore, the result is:
Answer:
275
Step-by-step explanation:
6+23=29 and 32-25=7
29 x 7 = 203
203 + 72 = 275
The final answer is 275.
Hope this helps!
we know that
The Zero Product Property states that if 
, then either 
or 
(or both)
we have
rewrite the expression
so
therefore
<u>the answer is the option</u>
x = –3 or x = 2
If that is the position function, velocity is the derivative of it.
v(t)=-14
Since velocity is a constant -14, the value of t has no bearing on the result. The instantaneous velocity is always -14.
