Lol it says 25 points but I’m not sure about the answer maybe look it up
Answer:
Least value of the smaller number is -8.
Step-by-step explanation:
Let the smaller number be x and the higher one y.
So y = x + 12 and
xy = -32
Substitute for y in the second equation:
x(x + 12) = -32
x^2 + 12x + 32 = 0
(x + 8)(x + 4) = 0
x = -4, -8.
So the least value of the smaller number x is -8.
Answer:
so A= (-4.5,2) and B=(0,-3.5)
10 - 5x < 6x - 8
We can treat this inequality like a normal algebraic equation.
<em><u>Add 5x to both sides</u></em>
10 < 11x - 8
<em><u>Add 8 to both sides</u></em>
18 < 11x
<em><u>Divide both sides by 11</u></em>
1.64 < x
X is greater than the value 1.64.
Let's plug the number 2 into each value of x to verify.
10 - 5x < 6x - 8
10 - 5*2) < (6 * 2) - 8
10 - 10 < 12 - 8
0 < 4
It's correct.
Now let's plug 1, which is less than 1.64.
10 - 5x < 6x - 8
10 - 5 < 6 - 8
5 < -2
This is not correct, which means that our answer was correct.