Answer:
The minimum value is 24
Step-by-step explanation:
we know that
The "feasible region" has vertices
The objective function is
To determine the minimum value of the objective function, substitute the value of x and the value of y of each vertex in the objective function and then compare the values
1) For (4,5)
x=4,y=5
2) For (4,6)
x=4,y=6
3) For (7,4)
x=7,y=4
4) For (3,6)
x=3,y=6
therefore
The minimum value is 24
Answer:
Option D.
Step-by-step explanation:
The given statement is
x-4 is difference between x and 4.
|x-4| distance from x because distance can not be negative.
Inequality sign "<" means less than.
represent all values of x whose distance from 4 is less than 0.5.
Therefore, the correct option is D.
Answer:
Please find attached the required inverse of a function chart
Step-by-step explanation:
The inverse of a function is found by reversing the operations of the function
The inverse of the function f(x) = 2·x - 4 is found as follows;
x = 2·x - 4
x + 4 = 2·x
x = (x + 4)/2 = x/2 + 2
Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2
The inverse function is plotted by generating data points as follows;
x
f(x)
0 2
1 2.5
2 3
3 3.5
4 4
5 4.5
6 5
7 5.5
8 6
9 6.5
10 7
11 7.5
12 8
13 8.5
14 9
15 9.5
16 10
A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is A.
<h3>What is a parallelogram?</h3>A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, the pair of opposite sides are equal and parallel. Therefore,
1.) For the first pair.
(x+8) = 15
x = 7
2.) For the second pair
(x+2)=(2x-5)
x + 2 = 2x - 5
2 + 5 = 2x - x
x = 7
(x+2) = (7+2) = 9
Since the measure of the pair of opposite sides is 15 units, the pair of the other two sides measure 9 units.
Hence, the correct option is A.
The complete question is mentioned in the below image.
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