Answer:
Step-by-step explanation:
12C = 36
A-the data set is symmetrical
4(x + 9) + 5x = 9x - 36
=> 4x + 36 + 5x = 9x - 36
=> 9x + 36 = 9x - 36
=> 9x - 9x = -36 - 36
=> 0 = -72
You can see that the equation doesn't hold true.
So there is no solution for this equation.
Answer is C. no real solutions
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:
243 or 3^5
Step-by-step explanation:
You can do the product by multiplying starting from the left.
3 * 3 * 3 * 3 * 3 =
= 9 * 3 * 3 * 3
= 27 * 3 * 3
= 81 * 3
= 243
You can also change it to an exponential form.
3 * 3 * 3 * 3 * 3 = 3^5
