Graph the inequalities to find the vertices of the shaded region: (2, 3) and (8, 0).
Now, evaluate the the function C = x + 3y at those vertices to find the minimum value.
C = x + 3y at (2, 3) ⇒ C = (2) + 3(3) ⇒ C = 2 + 9 ⇒ C = 11
C = x + 3y at (8, 0) ⇒ C = (8) + 3(0) ⇒ C = 8 + 0 ⇒ C = 8
The minimum value occurs at (8, 0) with a minimum of C = 8
Answer: A
Answer:
1
Step-by-step explanation:
Keep-Change-Flip
4/12 (keep) × (change) 12/4 (flip)
4/12 × 12/4
4 × 12 = 48
12 × 4 = 48
48/48 = 1
Answer:
A=24 sq ft
P=20 ft
Step-by-step explanation:
To make this easier, separate the triangle and the rectangle. To find the area of the triangle multiply the bases and the height and then divide the answer by. So,
(6x4)/2
(24)/2
A=12
The base of the triangle is the same as the base on the rectangle. To get the perimeter, add the 3 side values up.
5+5+6
P=16
For the rectangle, to get the area, just multiply the base value and the height value. So,
(6x2)
A=12
To get the perimeter, add all the side values up. So,
6+6+2+2
P=12
Add the 5 sides of the pentagon up for the perimeter.
5+5+2+2+6
P=20
And finally, add the area of the triangle and the rectangle to get the area of the pentagon.
12+12
A=24
The vertical asympototes of f(x) are at x = -6 and x = 6
Step-by-step explanation:
To find the vertical asymptote(s) of a rational function,
- Equate the denominator by 0
- Solve it for x
- If x = a, then the vertical asymptote is at x = a
∵ 
- Equate the denominator x² - 36 by 0
∵ x² - 36 = 0
- Add 36 to both sides
∴ x² = 36
- Take √ for both sides
∴ x = ± 6
∴ There are vertical asymptotes at x = -6 and x = 6
The vertical asympototes of f(x) are at x = -6 and x = 6
Learn more:
You can learn more about the asymptotes in brainly.com/question/6459599
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Answer: 24
Step-by-step explanation:
Follow PEMDAS. Parentheses: 16+a, which is 18. There are no exponents so move on to multiplication. 6b. B is equal to 3, and 6x3 is 18. Next, division. 18/3 is 6. Now do addition so add together 18+6 which is 24.
