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 cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.
Step-by-step explanation:
Given:
Cost of 15 ounces of oat cereal box = $3.90
Cost of 11 ounces of rice box = $3.30
To compare the unit prices of the the boxes.
Solution:
Using unitary method to find the unit prices:
If 15 ounce of oat box cost =$3.90
∴ 1 ounce of oat cereal would cost = 
∴ Per ounce cost of oat cereal = $0.26
If 11 ounce of rice box cost =$3.30
∴ 1 ounce of rice would cost = 
∴ Per ounce cost of rice = $0.3
Difference in unit costs of oat and rice = 
On comparing the the unit costs of oats and rice, we find out that the cost of per ounce of oat cereal is $0.04 less than per ounce cost of rice.
Answer: 5
Step-by-step explanation:
Range = highest value - lowest value
The highest value from the data set given = 1
The lowest value = -4
Therefore :
Range = 1 - (-4)
Range = 1 + 4
Range = 5
In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.
17^2-8^2 = 289 - 64 = 225 = 15^2.
Therefore, the answer to first question is yes
Then, for question 2, you do the same thing.
41^2 - 40^2 = 51
Here, 51 is not a square number. Most importantly it is not the square of9,
So this triangle is not right angled
Answer:
B
Step-by-step explanation:
the reason is, i suffered it ;)
