crisely
03.11.2020 •
Mathematics
What property is 7.(x.3).y
Solved
Show answers
More tips
- L Leisure and Entertainment How to Land on the Moon: Your Comprehensive Guide...
- T Travel and tourism How to Use a Compass: A Beginner s Guide...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
- F Food and Cooking How many stages of coffee roasting are there?...
- F Food and Cooking From Latte to Espresso: Which Coffee Drink is the Most Popular on Earth?...
- F Food and Cooking Experts Name Top 5 Healthiest Teas...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Liver Cleansing - Rejuvenation for the Body?...
- S Style and Beauty Is Photoepilation the Solution to Unwanted Hair Forever?...
Answers on questions: Mathematics
- M Mathematics What s the answer to these questions...
- M Mathematics For f(x)=2x + 1 and g(x)= x^2 - 7, find (f + g)(x)...
- M Mathematics Round 3.884 to the nearest hundredths...
- M Mathematics Subtract: (2x2 − 9x + 2) − (−7x2 + 4x − 3) a. - 5x^2 - 13 + 5 b. - 5x^2 - 5x + 1 c. 9x^2 - 13x + 5 d. 9x^2 - 5x + 5...
- M Mathematics What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 5r ≤ 6r – 8...
- M Mathematics How do you do this and draw the guest and check list...
- M Mathematics Triangle b has 3 angels less than a right...
- M Mathematics Aculture started with 6000 bacteria after 2 hours it grew to 7800 bacteria predict how many bacteria will be present after 15 hours...
- M Mathematics The ratio of red jelly beans to yellow jelly beans in a dish is 3: 4. if greg eats 3 red jelly beans and six tallow ones, tie ratio is 4: 5. how many yellow jelly...
- M Mathematics Is 0. a rational number or irrational?...
Ответ:
Profit on every sandwich (x) is $2
Profit on every wrap (y) is $3
Profit last month is $1470
Profit next month is $1593
Find
A: put the equation for last month's profit in slope-intercept form; identify the slope and y-intercept
B: describe in complete sentences how to graph this equation
C: write the equation in function notation. Explain what the function represents.
D: Graph the function; label the intercepts.
E: Explain how the graphs of the functions for last month's profit and next month's profit are similar and different.
F: (graph not supplied) Explain how you would write the equation for the graph.
Solution
A: To put a standard form equation into slope-intercept form, solve for y. Do that by subtracting the x-term and dividing by the coefficient of y.
2x +3y = 1470
3y = -2x +1470 . . . . subtract the x-term
y = (-2/3)x + 490
slope = -2/3
y-intercept = 490
B: Graph this function by plotting the y-intercept on the y-axis. That point is (0, 490). Then find another point that is 2 units down for every 3 units to the right. Draw a line through that point and the y-intercept. (One such point is the x-intercept, (735, 0).)
C: The equation of part B can be written in function notation by replacing "y" with "f(x)".
f(x) = (-2/3)x + 490
The function represents the number of wraps that must be sold in order to have a profit of $1470 as a function of the number of sandwiches sold.
D: See the attached graph.
E: The graph of the function for next month's profit is a line parallel to the one for the last month's profit. The slopes of the two graphs are the same. The intercepts of the two graphs are different.
F: You can write the equation using the slope-intercept form, provided that the y-intercept is given or can be read from the graph. Likewise, if the x-intercept is given, you can write the equation using that:
y = (-2/3)(x - 'x-intercept')
Otherwise, you would have to determine a couple of points on the graph and use the 2-point form of the equation for a line to write the equation. For points (x1, y1) and (x2, y2), that form is
y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)