Answer:
axis of symmetry is 
.
The ordered pair of the vertex is 
.
Step-by-step explanation:
Your function is a quadratic.
Compare 
to 
.
You should see that 
.
The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing 
.
So here we go!
The axis of symmetry is 
.
When you write your axis of symmetry be sure to write it as an equation.
That is the axis of symmetry is .
Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for 
into
.
Put into calculator:
when
The ordered pair of the vertex is .
Answer:
158.11
Step-by-step explanation:
Let's solve your equation step-by-step.
24(log(2x))=60
Step 1: Divide both sides by 24.
24(log(2x))
/24
=
60
/24
log(2x)=
5
/2
Step 2: Solve Logarithm.
log(2x)=
5
/2
10log(2x)=10
5
/2
(Take exponent of both sides)
2x=10
5
/2
2x=316.227766
2x
/2
=
316.227766
/2
(Divide both sides by 2)
x=158.113883
Answer:
x=158.113883
720 ways... if you divide six into all answers, 720 is the only rational number
Answer:
-0.25 or -1/4
Step-by-step explanation:
Remember slope is : change in y's over change in X's
Answer:
y - intercept. = 2.
Step-by-step explanation:
Given : The equation of a line is 5x − 3y = 6.
To find : Which is the y-intercept of the line.
Solution : We have given 5x − 3y = 6.
Equation of line y = mx +b
Where , m = slope , y intercept = b
Now we convert the 5x − 3y = 6 in line form y = mx +b
5x − 3y = 6
On subtracting both sides by 5x
-3x = - 5x + 6
On dividing both sides by - 3.
x = 
.
We cans see m = 
, y - intercept. = 2.
Therefore, y - intercept. = 2.
