Evaluate the expression. 5 x (-6 / -1 + -10)
1 answer:
Answer:
-20
Step-by-step explanation:
According to PEMDAS, we need to do the math in the parentheses first.
Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.
Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.
Subtracting, we get 6 - 10 = -4 and we're left with:
Multiplying, <u>our final answer is -20.</u>
Hope this helps!
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Answer:
(5,-6)
Step-by-step explanation:
ONE WAY:
If , then
.
Let's simplify that.
Distribute with :
Combine the end like terms :
Use identity for
:
Combine like terms and
:
We are given .
So we have that .
The vertex happens at .
Compare to
to determine
.
Let's plug it in.
So the coordinate is 5.
Let's find the corresponding coordinate by evaluating our expression named
at
:
So the ordered pair of the vertex is (5,-6).
ANOTHER WAY:
The vertex form of a quadratic is where the vertex is
.
Let's put into this form.
We are given .
We will need to complete the square.
I like to use the identity .
So If you add something in, you will have to take it out (and vice versa).
So we have in vertex form is:
.
The vertex is (3,-6).
So if we are dealing with the function .
This means we are going to move the vertex of right 2 units to figure out the vertex of
which puts us at (3+2,-6)=(5,-6).
The coordinate was not effected here because we were only moving horizontally not up/down.