Answer:
0.77
Step-by-step explanation:
17/22=0.772727273
Rounded to the nearest hundredth that would be
0.77
The correct answer is
![A) x^2 - 6x + 9](https://tex.z-dn.net/?f=A%29%20x%5E2%20-%206x%20%2B%209)
In fact, this is a trinomial of the form
![ax^2-bx+c](https://tex.z-dn.net/?f=ax%5E2-bx%2Bc)
, whose solutions are given by
![x_{1,2}= \frac{-b\pm \sqrt{b^2 -4ac} }{2a}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%20%20%5Cfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2%20-4ac%7D%20%7D%7B2a%7D)
Using this formula for the trinomial of the problem, we find:
![x1,2= \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3](https://tex.z-dn.net/?f=x1%2C2%3D%20%20%5Cfrac%7B6%20%5Cpm%20%5Csqrt%7B6%5E2-4%5Ccdot%201%5Ccdot%209%7D%7D%7B2%7D%20%3D3)
<span>we see that this trinomial has two coincident solutions (x=3 with multiplicity 2). This means that it can be rewritten as a perfect square, in the following form:
</span>
![(x-3)^2](https://tex.z-dn.net/?f=%28x-3%29%5E2)
<span>
</span>
<span>a. n/4 ≤ -1
Multiply both sides by 4 => n ≤ - 4, which is all the real numbers less or equal than - 4.
That in the real number line is all the numbers to the left of - 4 (including -4)
The matching graph is the B.
b. -10n ≥ -100
Divide both sides by - 10 => n ≤ 10
That is all the real numbers less or equal than 10.
In the real number line it is all the numbers to the left of 10, including 10.
So, the matching graph is the A.
c. 5x ≥ 20
Divide both sides by 5 => x ≥ 4
That is all the real numbers greater or equal to 4.
In the real number line it is all the numbers to the right of 4, including 4.
The matching graph is C.</span>
Answer:
alternate interoir
Step-by-step explanation:
12.5 kilometers per liter