Answer:
- Unit price of a 2-liter bottle of soda:
- Unit price of a case of twelve 12 ounce cans:
- The better bargain is the case of 12 ounce cans.
Step-by-step explanation:
Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.
According to the data provided in the exercise, you know that:
1. The 2-liter bottle of soda is equal to 67.6 ounces.
2. That bottle costs $1.89
Then, the unit price is:
3. There are 12 ounce cans in the case. Then the total ounces is:
4. It costs $2.99. So the unit price is:
Since:
The better bargain is the case of 12 ounce cans.
Answer:
<h2>A. y = 5</h2>
Step-by-step explanation:
A horizontal line has an equation: y = a (a - any real number).
Each point on a horizontal line y = a, has coordinates (x, a) (x - any real number).
We have the point (-7, 5) → y = 5
Answer:
thanks for points
that's your only question?
Using translation concepts, it is found that the transformation is a reflection over the y-axis.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that A is mapped to C and vice-versa. Since they are equidistant to the y-axis, we have that the rule is given by:
(x,y) -> (-x,y).
Meaning that the transformation is a reflection over the y-axis.
For O and B, the rules are given as follows:
- O: (0,0) -> (-0,0) = (0,0).
- B: (0,4) -> (-0, 4) = (0,4).
Showing that points O and B are invariant, keeping the same coordinates and confirming that the transformation is a reflection over the y-axis.
More can be learned about translation concepts at brainly.com/question/4521517
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Tom and John are to sit in a row of 6 seats with 4 other people. Number of ways for 6 people to sit if Tom sits to the left of John (but not necessarily directly beside him) is given by N = John on extreme right seat (#6) P(5, 1)*P(4, 4) + John on seat #5 P(4, 1)*P(4, 4) + John on seat #4 P(3, 1)*P(4, 4) + John on seat #3 P(2, 1)*P(4, 4) + John on seat #2 P(1, 1)*P(4, 4) = P(4, 4)[5 + 4 + 3 + 2 + 1] = 24*15 = 360 ANSWER P(4, 4) is the number of ways seating 4 others on remaining 4 seats when John has seated and Tom has seated on his left in P(5, 1), P(4, 1), P(3, 1), P(2, 1), P(1,1) ways.
