Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex =
Where,
- is the coefficient of
- is the coefficient of
From our equation given, and
Now, coordinate of vertex is
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the value [ ] into the equation. So we have:
Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
Answer:
-5 degrees per hour
Step-by-step explanation:
In 10 hours, the temperature dropped -50 degrees (38 + 12, and make it negative because the temperature went down, not up).
So divide -50 by 10
-50/10 = -5
The wording "earns 8% interest each year" does not make it clear whether the savings account interest is compounded. (It usually is in real life, but not always in math problems.) The graphical solution shows both simple interest and interest compounded annually.
Simple interest: the balances will both be $2941.18 after 5.88 years.
Compound interest: the balances will both be $3111.06 after 5.74 years.
Answer:
The expression is not factorable with rational numbers.
Except if you made a typo in your equation and it's x^2-4x-12
calculation:
-6x2=12
-6+2=-4
Then the answer will be (x+2)(x-6)