Answer:
The maximum value of C is 68
Step-by-step explanation:
we have the following constraints
----> constraint A
----> constraint B
----> constraint C
----> constraint D
Find out the area of the feasible region, using a graphing tool
The vertices of the feasible region are
(0,0),(5,19),(5,0)
see the attached figure
To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results
For (0,0) -----> 
For (5,19) -----> 
For (5,0) -----> 
therefore
The maximum value of C is 68
We assume , A, B, and C are angles of a triangle.
The sum of angles of a triangle is equal to 180º; therefore:
A+B+C=180º
B is 45% of angle A; then B=0.45A
C is 35% of anble A; Then C=0.35A
We can suggest this equation;
A+0.45A+0.35A=180
1.8A=180
A=180/1.8
A=100
Answer: The measurement of angle A is 100º.
Answer:
The two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Step-by-step explanation:
When two polynomials are subtracted the difference is
-4x² - 7x + 9
One of the polynomials is
x² - 4x + 2
To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2
First Option:
(x² - 4x + 2) + (-4x² - 7x + 9)
= x² - 4x + 2 - 4x² - 7x + 9
= x² - 4x² - 4x - 7x + 2 + 9
= -3x² - 11x + 11
Secons Option:
(x² - 4x + 2) - (-4x² - 7x + 9)
= x² - 4x + 2 + 4x² + 7x - 9
= x² + 4x² - 4x + 7x + 2 - 9
= 5x² + 3x - 7
Therefore, the two options are:
-3x² - 11x + 11 and 5x² + 3x - 7
Subtract to find the weight she gained since birth.
32 - 8 = 24
Divide to see how many years passed.
24 / 4 = 6
Therefore, Darrel's baby sister is 6 years old.
Best of Luck!
Answer:
6 purses
Step-by-step explanation
1. Subtract 71 from 161 as that's how much Daniela needs to make to have 161, which is 90
2. Divide 15 by 90 as 15 is the profit, so the answer would be the amount of purses she needs to sell, then you get 6
Check
6 times 15, 90
71 + 90 = 161
