Answer:
Minimum Values:
x = 0, y = 1, z = 3
Maximum Values:
x = 7 , y = 11 , z = 47
Step-by-step explanation:
FOR MINIMUM VALUES:
0<= x <= 7
It is clear from the above inequality that the minimum value of x must be 0.
y>= 1
This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:
z = 2x + 3y
z = (2)(0) + (3)(1)
z = 3 (Minimum)
FOR MAXIMUM VALUES:
0<= x <= 7
It is clear from the above inequality that the maximum value of x must be 7.
x + y <= 11
To calculate maximum value of y we can use the minimum value of x in this inequality:
0 + y <= 11
y <= 11
Hence, the maximum value of y is 11.
Using these maximum values of x and y to get the maximum value of z:
z = 2x + 3y
z = (2)(7) + (3)(11)
z = 47 (Maximum)
Answer: 23 units just took the test
Answer:
Step-by-step explanation:
P' (2,4)
Q' (4,4)
M' (2,1)
K' (4,1)
The value of x in the triangle is 70°
<h3>What is a scalene triangle?</h3>
A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°
i.e
- Let's assume that angle y = 60° and angle z = 50°
Then;
x + 110° =180°
x = 180° - 110°
x = 70°
Learn more about scalene triangle here:
brainly.com/question/16589630
Answer:
m = 8 and b = 3 OR m = 15 and b = 0
Step-by-step explanation:
Note that the conditions on this problem could be contradictory (they are likely not, but could be)
let m be the number of magazines bought
let b be the number of books, then
3m is the cost of the magazines bought and
7b is the cost of the books bought, since $45 exactly must be spent then
3m + 7b = 45
Let us assume m = 8 and see what happens
3(8)+7b = 45
24+7b=45
7b=21
b=3, this meets the requirements and results in an integer (whole) number of books, if b had ended up as a fraction, then m=8 would have to be wrong and we would have tried m=9 , then 10, 11, 12, up to 15 if necessary until we got a whole number of books. Notice that 15 magazines and 0 books also works