1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dafna1 [17]
4 years ago
15

The shape of a quartic with a negative leading coefficient most closely resembles what letter

Mathematics
1 answer:
Sonbull [250]4 years ago
4 0

Answer:

M

Step-by-step explanation:

A quartic equation/function is a fourth degree polynomial. The general form is:

ax^4+bx^3+cx^2+dx+e

We can put any values for the variables a, b, c, d, and e.

The general shape of a fourth degree polynomial is in the shape of the English letter "W".

The leading coefficient is the value of "a".

If a is negative, the curve gets upside down, so a "W" going upside down would resemble an "M".

A graph of a quartic with negative leading coefficient is shown attached. The equation is:

-x^{4}+2x^{3}+x^{2}-2x-2

You might be interested in
Which of the following best describes a simple random sample?
Mice21 [21]
The answer is A hope this helps
3 0
3 years ago
The difference between teenage female and male depression rates estimated from two samples is 0.07. The estimated standard error
KATRIN_1 [288]

Answer:

The 95%  confidence interval is  0.0112 <  \mu_m - \mu_f < 0.1288

Step-by-step explanation:

From  the question we are told that  

      The  sample  mean difference is  \= x_m - \= x_f  =  0.07

       The  standard error  is  SE  =  0.03

Given that the confidence interval is  95% then the level of significance is mathematically evaluated as

               \alpha  =  100 -  95

               \alpha = 5\%

               \alpha =0.05

Next  we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is  Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

         E =  Z_{\frac{ \alpha }{2} } *  SE

substituting values

         E =  1.96 *  0.03

         E =  0.0588

The 95% confidence interval  is mathematically represented as

      (\= x_m - \= x_f  ) - E  <  \mu_m - \mu_f

substituting values

     0.07 - 0.0588  <  \mu_m - \mu_f

    0.0112 <  \mu_m - \mu_f < 0.1288

     

3 0
3 years ago
Steve has three times as many quarters as half-dollars. The coins total $13.75. How many total coins does he have, how would you
statuscvo [17]
Hello,
Let assume x the number of half-dollars3x is the number of quarters.
The coins total $13.75.
0.50 *x+ 0.25 *3x=13.75\\&#10;&#10;\Rightarrow\  \dfrac{x}{2}+ \dfrac{3x}{4}=13.75\\&#10;&#10;\Rightarrow\  \dfrac{2x}{4}+ \dfrac{3x}{4}=13.75\\&#10;&#10;\Rightarrow\  \dfrac{5x}{4}=13.75\\&#10;&#10;\Rightarrow\  5x=4*13.75\\&#10;&#10;\Rightarrow\  5x=55\\&#10;&#10;\Rightarrow\  x=11\\&#10;&#10;

11 is the number of half-dollars

33 is the number of quarters.
8 0
3 years ago
If m = 3 and n = 2, then m 2 - n 2 is equal to _____. 2 5 1 13
bekas [8.4K]

Answer:

6-4=2

Step-by-step explanation:

3x2=6 2x2=4

8 0
3 years ago
Read 2 more answers
Find the table with unit rates greater than the unit range in the graph. Then arrange these tables in order from least to greate
Lubov Fominskaja [6]

Answer:

Except table 2, all tables have greater unit rate than the graph.

The required arrangements of tables is  

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < table 7 < Table 6

Step-by-step explanation:

Formula for unit rate :

m=\dfrac{y_2-y_1}{x_2-x_1}

From the given graph it is clear that the line passes through the points (0,0) and (11,20). So, unit rat of graph is

m=\dfrac{20-0}{11-0}=1.8181...

Similarly, we need to calculate the unit rate for each table.

m_1=\dfrac{26-13}{14-7}=\dfrac{13}{7}=1.85714

m_2=\dfrac{18-9}{10-5}=\dfrac{9}{5}=1.8

m_3=\dfrac{34-17}{18-9}=\dfrac{17}{9}=1.88..

m_4=\dfrac{42-21}{22-11}=\dfrac{21}{11}=1.9090..

m_5=\dfrac{38-19}{20-10}=\dfrac{19}{10}=1.9

m_6=\dfrac{50-25}{26-13}=\dfrac{25}{13}=1.923

m_7=\dfrac{46-23}{24-12}=\dfrac{23}{12}=1.9166..

Except table 2, all tables have greater unit rate than the graph.

The required arrangement of tables is  

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < Table 7 < Table 6

4 0
3 years ago
Other questions:
  • Don tracked the price of gas for several months. In January gas cost $2.65, in February the price had risen $0.56, in March decr
    10·1 answer
  • An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individ
    15·1 answer
  • Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an 1 point
    9·1 answer
  • Choose a counterexample that proves that the conjecture below is false.. abc is a right triangle, so angle A measures 90 degrees
    10·2 answers
  • PLS HELP ILL MARK BRAINLIST
    15·2 answers
  • WILL GIVE BRAINLIEST PLS ANSWER IT PLS
    7·1 answer
  • Please Help me with a 8th-grade math question please
    9·1 answer
  • The sum of 9 times a number and 5 is 3.
    8·1 answer
  • Anyone help ASAP pls!!!
    11·1 answer
  • Point e is on line segment df. given de=3 and df=15, determine the length of ef
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!