The first thing to do is to set this equal to zero, then move the constant over to the other side of the equals sign so we only have the x terms to worry about.
. Now we're ready to complete the square. We take half the linear term, square it, and add it in to both sides. Our linear term is -6x. Half of 6 is 3, and 3 squared is 9, so we add 9 to both sides:
. Now we will do the math on the right to get 4, and on the left we will express the perfect square binomial we created while completing this process.
. Now we can move the constant back over by subtraction to get
. Now we can see that the vertex is (3, -4). Since this is a positive parabola, it opens upwards, like a cup, which means that the lowest part of the parabola, the vertex, is sitting at the bottom, or at a minimum value. So our answer is C
B) 0.24
When you turn a percent into a decimal you move the decimal 2 spots to the right.
Hope this helps!
Answer:
The equation of the quadratic in standard form is:
Step-by-step explanation:
Since they give us the information about where the vertex of the parabola is located, and one extra points where it passes through, we can use the general form of a quadratic in vertex form:
where 
is the location of the vertex (in our case the point (-2,6).
Therefore the equation above becomes:
Now,we can use the fact that the point (-4,-2) is also a point of the graph, to find the value of the parameter 
:
Then, the equation of the quadratic with such characteristics becomes:
which is the equation of the quadratic in standard form.
time= distance/speed
take distance as d. take time as t.
the time taken: d/ 65 for the train however it is the same distance for d/130 so we can say (d/65)-3 = d/130
now solve the equation, multiply both sides by 130
2d-390=d
2d-d=390
so d=390 mi
Answer:
$31
Step-by-step explanation:
You have to do 6.5*4 first since 4 is the number of hours. With that, you will get 26. After that, you need to add a 5 since 5 is the flat fee. At the end, you will get $31.
