Answer:
<h2>c. x = -4 or x = 9</h2>
Step-by-step explanation:
Domain:
solution:
use <em>(a - b)(a + b) = a² - b²</em>
multiply both sides by (x - 3) ≠ 0
cancel (x - 3)
subtract from both sides
cross multiply
use FOIL
subtract 4x from both sides
combine like terms
change the signs
The product is 0 if one of the factors is 0. Therefore:
<em>add 9 to both sides</em>
<em>subtract 4 from both sides</em>
Flip the bottom part after the "/" so you get ((x+3)/9)*(6/(x+12)) Cancel and multiply to get 2(x+3)/3(x+12) this is as simplified as it is going to get.
Answer:
It takes her 25.2 mintes
Step-by-step explanation:
You can just multiply 21 by 1.2 because that's how long she takes per lap and you can get 25.2
Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:
y = -(1/8)*x² + 5.
<h3>
Which is the equation of the parabola?</h3>
The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.
Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.
Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.
Then the constant term must be 5.
So the correct option is the first one:
y = -(1/8)*x² + 5.
If you want to learn more about parabolas:
brainly.com/question/4061870
#SPJ1
Answer:
6
Step-by-step explanation: