MATHEMATICS HIGH SCHOOL

Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function?

What is Molly's winning answer? Explain in complete sentences.

Answers

Answer 1
Answer: key fetures (that I think are helpful) are finding where the vertex (if applicable), x and y intercepts, and the horizontal and vertical and slanted assymtotes and holes in the fn are. Assume you have a function in the form (P(x))/(Q(x)). To find the x intercepts, reduce/simpify the fraction and set the numerator to 0 and solve. To find the y intercepts, use  the reducd fraction and find the result when you replace all x's with zero.  To find the vertical asymtotes, you reduce/simplify the fraction and set the deomenator to zero, the result is the equaton of the vertical asemtote which the function never crosses. then, to find the horizontal assymtotes, you have 2 options: if the degree if P(x)<Q(x) then the horiziontal assymtote is y=0. If degree P(x)>Q(x), divide the leading coeficient of P(x) by the leading coeficient of Q(x). I don't rmember how to find slant assymtotest. To find whether the line crosses the horizontal assymtote, set the reduced function equal to the value of the horizontal assymtote, if you get a true statment, that is where it crosses, if false, it doesn't cross.
when you eliminated something in reducing the fractio, that thing you elimated was a hole. Set that equal to zero and solve for x value, to get y value, input that x value  into  the reduced function and solve fo y value of hole.

to graph, plot x and y intercepts. remember that the lines get close to but never cross the vertical assymtotest, but they can cross the horizontal assymtotes sometimes. remember to plot the hole and draw the assymtotes.  

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You add two numbers together, and the total is 122. If you triple the smaller number and subtract 34, it will equal the larger number. What are the two numbers?

According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?


(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.

(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.

(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.

Answers

Answer:

Options A and B are true

(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.

B. (B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.

Step-by-step explanation:

A. In a developed society, it's imperative for the authority to hold public hearings with stake holders to air their views before the tolls are increased, this would enable the authority to carry out proper assessment to know both the positive and negative impact of increasing the toll.

B. Increasing the tolls implies that there must be adjustment in the automated tolling machines and this would incur cost on the authority, this contract would be executed by private contractors.

Which of the following expressions is equivalent to 3?7 + (-4)
-7 + 4
7 - (-4)
-7 - (-4)

Answers

-7 - (-4)   

is your answer. hope I helped

Answer:

first one

Step-by-step explanation: 7 + (-4) = 3

hope this helps.

Calculate the perimeter of the rectangle

12cm 12cm 6cm 6cm
​

Answers

Answer:

The perimeter of a rectangle with the sides

12cm 12cm 6cm 6cm

would have a perimeter of 36cm

Step-by-step explanation:

Pls answer this correct ;( don't answer it nonsenses. :) Thanks!A. in 20 tries, Riza Beat Jennifer 5 times. What is the probability that Jennifer won?

B. In 50 tries, Mark won over Martin 26 times. What is the probability that Mark Won? ​

Answers

Answer:

jennifer won 15 time and mark won 24

if the answer is wrong i am really sorry

The box plots below show the average daily temperatures in July and August for a U.S. city: two box plots shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom box plot is labeled August. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100 What can you tell about the means for these two months?

Answers

The correct answer is:


The mean for July is smaller than the median; and

the mean for August is larger than the median.


Explanation:


A distribution with a positive skew would have a longer whisker in the positive direction than in the negative direction. A larger mean than median would also indicate a positive skew.


Alternatively, a distribution with a negative skew would have a longer whisker in the negative direction than in the positive direction. A smaller mean than median would also indicate a negative skew.


The whisker in the negative direction for July is longer than the whisker in the positive direction. This indicates a negative skew.


The whisker in the positive direction for August is longer than the whisker in the negative direction. This indicates a positive skew.

Answer:

its b

Step-by-step explanation:

i just got it right!!!!

A store manager did a study to determine the amount of money the first 50 customers spent in her store. The data are approximately normally distributedwith a mean of $29.60 and a standard deviation of $10.50. The formula for normalizing data is: Z= (X−μ / σ) Z is the normal score X is a discrete data value μ is the mean σ is the standard deviation Determine the probability that a customer spent over $35. Enter your answer as a decimal to the hundredths place.

Answers

Simply input the data given, using the mentioned formula.
X=$35.00
μ=$29.60
σ=$10.50

Z= (X−μ / σ)
^^ This formula is actually wrong though... the correct way to write it is:

Z= (X−μ) / σ
Z=(35.00-29.60)/10.50
Z=5.4/10.50
Z=0.51
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