Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
Answer:
Mean: 11.5 Median: 6
Step-by-step explanation:
For the mean find the average by adding all of the numbers up and dividing by the number of numbers in the set.
For the median arrange the numbers in order of least to greatest then find the middle number if there is two add them together and divide by two.
<h3>hello!</h3>
Let's write this verbal phrase as an inequality.
First of all, let the number be n.
"three times n" can be written like so:-
Now, 18 is greater than 3n:-
Which means 3n is less than 18:-
<h3>note:-</h3>
Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
If you observe carefully, you can see that the graph is crossing x-axis at the points 1 and 9. This means x = 1 and x = 9 are the roots of the polynomials and x - 1 and x - 9 are thus the factors of the polynomial.
We can express the polynomial as the product of its factors. So the above polynomial can be expressed as (x - 1)(x - 9)
Thus, the answer to the question is option D
