If you would like to solve the system of equations, you can do this using the following steps:
4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3
<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2
1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)
The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
Answer:
28(1 + 2t + w)
Step-by-step explanation:
This polynomial can be factored by factoring out 28.
28 + 56t + 28w = 28(1 + 2t + w)
Answer:
22 + x ≤ 40
x ≤ 18 pounds
Step-by-step explanation:
Maximum weight = 40 pounds
Initial weight = 22 pounds
Let Maximum weight that can be added = x
Mathematically, this means :
Initial weight + additional weight ≤ 40
That is ;
22 + x ≤ 40
Additional weight, x :
x ≤ 40 - 22
x ≤ 18 pounds
Answer:
Step-by-step explanation:
Rate = 56 gal / 7 min
= 8 gal / min
Answer:
you would only need to add or multiply the numbers
Step-by-step explanation:
some of the equations could be-
95+ x =190
95 x 2 =190
x / 2 = 190
