9514 1404 393
Answer:
see attached
Explanation:
First of all, you must be completely comfortable plotting points on a graph, and reading the coordinates of a point.
Second, you need to understand that "slope" or "rate of change" is the ratio "rise over run". In this context, "rise" is the vertical change, and "run" is the horizontal change. Typically "run" is left to right, so is in the +x direction. "Rise" is positive if the line slopes upward toward the right, and negative if the line slopes downward.
A vertical line has a "run" of zero, so you end up with rise/0, which is "undefined." Whenever you see "undefined" as the slope, it means the line is vertical. (Its equation is x=constant.)
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With these things in mind, you work this problem by first plotting the point (4, 3). Then for each of the given slopes, you identify a suitable "rise" and "run" that will get you to another point on the line. Draw the line through the original point and the point you found.
(a) rise/run = 1, so you go the same number of grid squares up as you do to the right.
(b) rise/run = -2, so you go down 2 grid squares for each 1 to the right.
(c) rise/run = -3/2, so you go down 3 grid squares for each 2 to the right.
(d) "undefined" means the line is vertical. The x-value of the given point is 4, so the vertical line has equation x=4. You draw it through the given point.
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Additional comment
Here, we use our understanding of slope to draw the line on the graph. Other times, you will need to use your understanding of slope to figure out what the slope is of a line plotted on a graph. It is usually useful to identify points on the line where it crosses grid intersections. That way, computation of rise and run do not involve any guessing as to what the coordinates are.
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Answer:
Explanation:
Part D
For d, the very first thing you need to do is figure out which one of the steps you are going to use. You have 2 in b^2 + 2, so even if b = 0 the two still matters. It means that you use f(x) = -x + 3 because that's what you use when you have 2 or above.
The second thing you have to realize is that f(x) = -x + 3 has the meaning of what ever you see on the left in the place of x, you put on the right wherever there is an x.
In this case f(b^2 + 2) = -b^2 - 2 + 3 = 1 - b^2
I'm not sure enough to give you an answer for the domain and range, not this time of night.
9514 1404 393
Answer:
a) 9
b) 1
c) -1
d) -b² +1
domain: (-∞, ∞)
range: (-∞, 1] ∪ [3, ∞)
Explanation:
When you evaluate a piecewise function, the first step is to determine what piece is applicable. Then, you fill in the argument value and do the arithmetic.
a) -6 < 2, so the first piece applies. f(-6) = |-6| +3 = 9
b) 2 = 2, so the second piece applies. f(2) = -2 +3 = 1
c) 4 > 2, so the second piece applies. f(4) = -4 +3 = -1
d) b² +2 ≥ 2, so the second piece applies. f(b² +2) = -(b² +2) +3 = -b² +1
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The function is defined for all values of x, so the domain is (-∞, ∞).
The minimum value of the first piece is +3. The maximum value of the second piece is f(2) = 1. So, values of y between 1 and 3 are not part of the range.
The range is (-∞, 1] ∪ [3, ∞).
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Additional comment
The square of a real number can never be negative, so b²+2 cannot be less than 2.
Moana is a single taxpayer who operates a sole proprietorship. She expects her taxable income next year to be $250,000, of which $200,000 is attributed to her sole proprietorship. Moana is contemplating incorporating her sole proprietor-ship. Using the single individual tax brackets and the corporate tax brackets,find out how much current tax this strategy could save Moana (ignore any So-cial Security, Medicare, or self-employment tax issues). How much incomeshould be left in the corporation?
Answer:
well, around atleast 100,000 to 150.000 including taxes of all kinds but of 250,000 i think around 200-175 k should be left , if not, more
Explanation:
In the term myoparwsis the suffix paresis mean
Answer:
Explanation:
The whole word means slight muscle paralysis. Paresis has the meaning of slight + muscle
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PLEASE Include the steps, I'm trying to learn this for a test next week
Question: Find an equation of the line that passes through the given points.
I’m nobody! Who are you?
Are you nobody, too?
Then there’s a pair of us—don’t tell!
They’d banish us, you know.
Which statement best explains the central idea of this stanza?
The poet has something to hide.
The poet identifies with private people.
The poet is afraid of authority figures.
The poet seeks fame and recognition.
Answer:
The poet is afraid of authority figures.
Explanation:
The addition of the phrase "They'd banish us, you know" proves that the character is attempting to evade an authority that has the power to do so.
Answer: I think it should be, "The poet has something to hide."
Because he/she is hidding his/her identity by saying he/she is nobody. Then the poet is showing a panic behaviour which is often found when someone is lieing or hidding anything.
This also creates a sort of humour that the poet shows when he is messing around the person who has actually caught him sneeking around or doing something suspicous.
Also, banish is a word which is usually used during the king's and queen's rulling periods. That is what usually they would do in the historical times where a king or queen would banish someone if they had done a serious sin or upsetted anyone.
in Class of 80 students in debrebirhan university, 45 are good in mathematics, 15 are good in both mathematics and English, 13 are good in both mathematics and psychology, 16 are good in both English and psychology only, 20 are good in psychology and 9are in both of the three courses
Answer:
no. of people good at English only=24
Explanation:
The explanation is in the attached image. I hope it is helpful.
