Larry pours 11 gallons of water equally into 4 containers. Which equation shows how to find how many gallons of water there are
1 answer:
You might be interested in
Answer:
Given equations:
- a) -3x + 3y = 9
- b) 2x - 7y = -14
<u>Make x the subject in equation 1</u>:
- -3x + 3y = 9
- -3x = 9 - 3y
- x = y - 3
<u>Substitute this into equation 2</u>:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)
Answer:
-6
Step-by-step explanation:
Given that :
we are to evaluate the Riemann sum for from 2 ≤ x ≤ 14
where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.
The Riemann sum can be computed as follows:
where:
a = 2
b =14
n = 6
∴
Hence;
Here, we are using left end-points, then:
Replacing it into Riemann equation;
Estimating the integrals, we have :
= 6n - n(n+1)
replacing thevalue of n = 6 (i.e the sub interval number), we have:
= 6(6) - 6(6+1)
= 36 - 36 -6
= -6