The quantity of lemonade Regan sold on Saturday is 11/4 gallons
<h3>How to solve fraction?</h3>
- Mark = 2 7/8 gallons
- Regan = 2/3 gallons as much as mark
Amount of lemonade Regan sold = 2 7/8 × 2/3
= 23/8 × 2/3
= 66 / 24
= 11/4 gallons
Complete question:
On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons did Regan sell?
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Answer:
+15
Step-by-step explanation:
An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.
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<em>Additional comment</em>
If units are dimes, then the number would be +150. So, you see, <em>the units are important </em>to know.
It also depends on <em>what is increasing</em> and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.
The graphed polynomial seems to have a degree of 2, so the degree can be 4 and not 5.
<h3>
Could the graphed function have a degree 4?</h3>
For a polynomial of degree N, we have (N - 1) changes of curvature.
This means that a quadratic function (degree 2) has only one change (like in the graph).
Then for a cubic function (degree 3) there are two, and so on.
So. a polynomial of degree 4 should have 3 changes. Naturally, if the coefficients of the powers 4 and 3 are really small, the function will behave like a quadratic for smaller values of x, but for larger values of x the terms of higher power will affect more, while here we only see that as x grows, the arms of the graph only go upwards (we don't know what happens after).
Then we can write:
y = a*x^4 + c*x^2 + d
That is a polynomial of degree 4, but if we choose x^2 = u
y = a*u^2 + c*u + d
So it is equivalent to a quadratic polynomial.
Then the graph can represent a function of degree 4 (but not 5, as we can't perform the same trick with an odd power).
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Step-by-step explanation:
step 1. x - 70 = 135
step 2. x = 205. add 70 to each side
