Answer:
DE and BC are parallel line segments.
Step-by-step explanation:
Edmentum-
Answer:
44.4%
Step-by-step explanation:
The probability in this case would be the specific number of pairs of means that we are asked to calculate, that is, blue divided by the total number of pairs, which would be the sum of the different colors, then:
We have that blue there are 4 pairs, and in total it would be 2 + 4 + 3 = 9, that is to say 9 pairs of means.
therefore the probability is:
4/9 = 0.444
Which means that there is a 44.4% chance of drawing a blue pair.
Answer:
what.....
Step-by-step explanation:
Shown in the graph
<h2>
Explanation:</h2>
Using graph tools we can graph the function:
![g(x)=4x^2-16](https://tex.z-dn.net/?f=g%28x%29%3D4x%5E2-16)
which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:
![Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:](https://tex.z-dn.net/?f=Let%20%5C%20c%20%5C%20be%20%5C%20a%20%5C%20positive%20%5C%20real%20%5C%20number.%20%5C%20%5Cmathbf%7BVertical%20%5C%20and%20%5C%20horizontal%20%5C%20shifts%7D%20%5C%5C%20in%20%5C%20the%20%5C%20graph%20%5C%20of%20%5C%20y%3Df%28x%29%20%5C%20are%20%5C%20represented%20%5C%20as%20%5C%20follows%3A)
![\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)](https://tex.z-dn.net/?f=%5Cbullet%20%5C%20Vertical%20%5C%20shift%20%5C%20c%20%5C%20units%20%5C%20%5Cmathbf%7Bupward%7D%3A%20%5C%5C%20h%28x%29%3Df%28x%29%2Bc%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20Vertical%20%5C%20shift%20%5C%20c%20%5C%20units%20%5C%20%5Cmathbf%7Bdownward%7D%3A%20%5C%5C%20h%28x%29%3Df%28x%29-c%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20Horizontal%20%5C%20shift%20%5C%20c%20%5C%20units%20%5C%20to%20%5C%20the%20%5C%20right%20%5C%20%5Cmathbf%7Bright%7D%3A%20%5C%5C%20h%28x%29%3Df%28x-c%29%20%5C%5C%20%5C%5C%20%5Cbullet%20%5C%20Horizontal%20%5C%20shift%20%5C%20c%20%5C%20units%20%5C%20to%20%5C%20the%20%5C%20left%20%5C%20%5Cmathbf%7Bleft%7D%3A%20%5C%5C%20h%28x%29%3Df%28x%2Bc%29)
Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it
) will be:
![h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17](https://tex.z-dn.net/?f=h%28x%29%3D4%5Cleft%28x-9%5Cright%29%5E%7B2%7D-16-1%20%5C%5C%20%5C%5C%20Simplifying%3A%20%5C%5C%20%5C%5C%20h%28x%29%3D4%5Cleft%28x-9%5Cright%29%5E%7B2%7D-17)
This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:
![(0,-16)](https://tex.z-dn.net/?f=%280%2C-16%29)
By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:
![New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)](https://tex.z-dn.net/?f=New%20%5C%20vertex%3A%20%5C%5C%20%5C%5C%20%280%2B9%2C-16-1%29%20%5C%5C%20%5C%5C%20%289%2C-17%29)
<h2>
Learn more:</h2>
Cubic function: brainly.com/question/13773618#
#LearnWithBrainly
Answer:
$ 1.90 for 1 Gallon
Step-by-step explanation:
11.40/6 = 1.90
another way you can show the answer is: $1.90/1 Gal.