Answer:
x-8<-15
Step-by-step explanation:
Answer:
MOE= ± 0.098
Step-by-step explanation:
-The margin of error is calculated using the formula:

#Substitute to solve for MOE:

Hence, the margin of error is ± 0.098
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.
Answer: 8:54
Step-by-step explanation:
Answer:
x=16
Step-by-step explanation:
First, since a and b are parallel, infer that 4x and 60 can be added together to reach 124 (4x+60=124). Then, solve the equation.
4x+60=124
subtract 60 from both sides
4x=64
divide by four
x=16