Y > 2x - 3
3y - x ≤ 6
↓
y = 2x - 3
3y - x = 6
3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
6x - 9 - x = 6
6x - x - 9 = 6
5x - 9 = 6
<u> + 9 + 9</u>
<u>5x</u> = <u>15</u>
5 5
x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)
The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3
The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.
The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.
The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L
The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L
Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L
Let x = months
so we know that price of software package is $20
Now we need to find x the price of one month
we know that Angie and Kenny spent 115 total
Angie: 20 + 3x ( one software pack + 3(price of one month)
Kenny: 20+ 2x ( one software pack + 2( price of one month)
So Angie + Kenny = $ 115
20 + 3y + 20 + 2y = 115
combine like terms and solve for x. That will give you the cost of one month
40 + 5x = 115
-40 -40
5x= 75
5x/5 = 75/5
x=15
Answer:
I don't know the number of the ratio but i will create an example of 3 ways to write ratio
Let's use the number 10:8
you can write it like
- 10:8 (colon)
- 10 to 8
- 10/8 ( a fraction)
Answer:
x >= 0 & y<0
x >= 0 means that x is non-negative
y<0 means that y is negative