Answer:
- First choice: <u><em>n² + n - 210 = 0</em></u>
Explanation:
1) If you use n to name the smaller number of two integer numbers, then the next consecutive number is n + 1.
2) The product of those two numbers is n × (n + 1) = n (n + 1).
3) Half of that product is n (n + 1) / 2.
And the question states that thas is equal to 105, so the equation becomes:
4) n (n + 1) / 2 = 105
Now you have to simplify that equation until you have an expression equal to one of the choices:
5) Simplification:
- Multiply both sides by 2: n (n + 1) = 210
- Distributive property on the left side: n² + n = 210
- Subtract 210 from both sides: n² + n - 210 = 0
And that is the first choice, so you have your answer.
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.
D it's undefined because it has no where else to go.
Answer:
XGU for both
Step-by-step explanation:
Answer:24%
Step-by-step explanation:
6 divided by 25 is .24