Answer:
The result in standard form is: 
Step-by-step explanation:
Dividing the values:
To find the real part, we divide 2.645 by 1.15. So
2.645/1.15 = 2.3
Finding the power:
Its a division, so we keep the base, and subtract the exponents. So

Result in standard form:
The result in standard form is: 
Answer:
if the outputs can be whole number then,
(x,y) = (0, 10) or (6,5) or (12,0)
if the outputs can be natural number then,
(x,y) = (6,5)
Answer:
<u>The correct answer is B. 36</u>
Step-by-step explanation:
1. Let's review the information given for answering the question correctly:
Data set given:
18
36
11
45
36
19
14
18
36
2. What is the mode for this data set?
Let's recall that the Statistical Mode is the number that is more frequently repeated in a group of numbers. If no number is repeated, then there is no mode for the list or set.
In this specific set, we can notice that 18 is repeated two times and 36 is repeated three times. Therefore, the mode for this set of ages of people riding a bus is 36.
<u>The correct answer is B. 36</u>
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.