Answer:
y = -2/7x - 22/7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula: 
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, -2)
Point (3, -4)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Add:
<u>Step 3: Find y-intercept </u><em><u>b</u></em>
- Define: y = -2/7x + b
- Substitute: -4 = -2/7(3) + b
- Multiply: -4 = -6/7 + b
- Isolate <em>b</em>: -22/7 = b
- Rewrite: b = -22/7
<u>Step 4: Write linear equation</u>
y = -2/7x - 22/7
Hello!
For every 1 blue marble there are 5 greens
You add the numbers in the ratio
1 + 5 = 6
Divide this number from the amount of marbles
60 / 6 = 10
Multiply the ratio by this
1 * 10 = 10
5 * 10 = 50
There are 10 blue marbles and 50 green ones
The answer is 10
Hope this helps!
Answer:
i think the first one and thrid
Step-by-step explanation:
Answer:
(4,5)
Step-by-step explanation:
The "feasible region" has vertices (0,0), (7,0), (5,4), and (4,5)
P = 5x + 6y
Plug in each vertices in P and find out which give maximum value
(0,0) => P= 5(0) + 6(0) = 0
(7,0) => P= 5(7) + 6(0) = 35
(5,4) => P= 5(5) + 6(4) = 49
(4,5) => P= 5(4) + 6(5) = 50
We got maximum P=50 for vertex (4,5)
So the coordinates of the point that has the maximum value is (4,5)
