For the given parabola, the axis of symmetry is x = 2.
<h3>
How to get the axis of symmetry?</h3>
For any given parabola, we define the axis of symmetry as a line that divides the parabola in two equal halves.
For a regular parabola, we define the axis of symmetry as:
x = h
Where h is the x-component of the vertex.
Remember that for the general parabola:
y = a*x^2 + b*x + c
The x-value of the vertex is:
h = -b/(2a)
Then for the function:
f(x)=−2x²+8x−2
We get:
h = -8/(2*-2) = 2
Then the axis of symmetry is x = 2.
If you want to learn more about parabolas, you can read:
brainly.com/question/1480401
Answer:
As this is triangular height and floor length we multiply and divide by 2 (representing halving the square)
= 3.5 x 6= 19 19/2 = 9.5ft
To thereafter measure the angle we can see 9.5/3.5 =2.711
so we have 90, 27 and 63 degree.
As this is decimal we round up to 30 degree. and round down to 60 degree.
Step-by-step explanation:
Answer:
The value will satisfy the equation.
Step-by-step explanation:
Given equation is . We need to find the value of
Step-1: Multiply both sides by
Step-2: Divide both sides by
So, we get after simplifying the equation.
Answer:
median
Step-by-step explanation:
in a box plot, it does not represent the mean, just so you know.
mode = largest number.
range = difference between largest number and smallest number
<h3>
Answer: 28</h3>
==========================================================
Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
----------------------------------
Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
----------------------------------
Method 3
Use the nCr combination formula with n = 8 and r = 2
There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.