Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)
Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;
The n'th term of a Arithmetic Sequence let's say it be is given by ;
Where , <u>d</u> is the common difference
Now , here we are given with ;
We have to find the 2nd , 3rd and 4th term respectively ,
Now , by using the above formula , 5th term can be written as ;
Putting the values and transposing 1st term to RHS , we have ;
Now , as we got the common difference , so we can find out the missing terms now ;
Now
Also ,
Now , The given table can be written as ;
Note :- Kindly view the answer from web , if you're not able to see the full answer from here ;
brainly.com/question/26750175
I think it is a but I’m not sure
Answer: 10.4
Step-by-step explanation:
According to the right angle triangle, the longest side is the hypothenus, d side facing the angle is the opposite and the other side is the adjacent
So we this we will use tan
Tan 30= opp/adj
Tan 30= 6/x
Cross multiply
Xtan30= 6
X= 6/tan 30
X= 6/1/square root of 3
X= 6 x square root of 3
X= 10.39 ~ 10.4