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
Snowcat [4.5K]
4 years ago
10

Which is the intersection of the sets R={0, 1, 2, 4}, S={4, 9, 12, 13}, T={13, 15, 19, 20}?

Mathematics
2 answers:
Zepler [3.9K]4 years ago
8 0

Answer:

Null set

Step-by-step explanation:

4 intersects sets R and S but not T

13 intersects sets S and T but not R

So this would result as a null set.

Sonbull [250]4 years ago
8 0

Answer:

R\cap S\cap T= \{ \} \text{ or } \phi \text{ aka null/empty/void set}

since there is no common element in all the three sets.

since intersection is associative,

you can do it in simpler ways as:

L \cap (R \cap T) = \{0,1,2,3,4\}\cap\left(\{4,9,12,13\}\cap\{13,15,19,20\}\right) \\ =\{0,1,2,3,4\}\cap(\{13\} = \phi

or

(L \cap R) \cap T = \left(\{0,1,2,3,4\}\cap\{4,9,12,13\}\right)\cap\{13,15,19,20\} \\ =\{4\}\cap(\{13,15,19,20\} = \phi

You might be interested in
Draw array for each profuct to find the partial products and product dor 18x4=
romanna [79]
18×4=72  :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) your wecome
                                                                                                                                     
8 0
3 years ago
What does the symbol 0 with a horizontal line it mean?
Law Incorporation [45]
It means it has no rise or run it means it’s 0 on the plot
6 0
3 years ago
Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph
Dennis_Churaev [7]

ANSWER TO QUESTION 1


f(x)=(x-2)(x+3)(x-1)^2.



EXPLANATION


The function given to us is,


f(x)=x^4-x^3-7x^2+13x-6


According to rational roots theorem,


\pm1,\pm2,\pm3,\pm6 are possible rational zeros of  


f(x)=x^4-x^3-7x^2+13x-6.


We find out that,


f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6


f(-3)=81+27-63-39-6



f(-3)=6-6



f(-3)=0


Also




f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6



f(2)=16-8-28+26-6



f(2)=6-6



f(2)=0


This implies that  


x-2 and x+3 are factors of



f(x)=x^4-x^3-7x^2+13x-6 and hence (x-2)(x+3)=x^2+x-6 is also a factor.



We perform the long division as shown in the diagram.



Hence,


f(x)=(x-2)(x+3)(x-1)^2.


ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots  

x=2 and x=-3 have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.


Also the root x=1 has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.



Now we determine the position of the graph on the following intervals,


x\le -3


f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6


f(-4)=150\:>0



-3\le x \le 1


f(0)=-6\:


1\le x\le 2


f(1.5)=-0.56\:



x \ge 2



f(3)=24\:>0



We can now use these information to sketch the function as shown in diagram



4 0
3 years ago
Algebra 2 help needed asap
gtnhenbr [62]

Answer:

The number of beads Emery uses to calculate how many 4 necklaces and 7 bracelets are 152 beads.

Step-by-step explanation:

This is a simultaneous equation.

let's make n the number of necklaces, and b the number of bracelets.

8n + 3b = 172. 1st equation

1n + 5b = 77. 2nd equation.

you have to make one of the Bs or the Ns the same.

I chose B. it doesn't matter which side you choose.

40n + 15b =860. I multiplied by 5

3n + 15b =231. I multiplied by 3

then you subtract. because the signs are the same.

40n - 3n = 37n, 15n - 15n = 0, 860 - 231 = 629

37n =629. we divide both sides by 37

n = 17. one necklace has a total of 17 beads.

we substitute to find the number of bracelets (b).

choose any of the 1st or 2nd equations.

1n + 5b = 77

(17) + 5b = 77

5b = 77- 17

5b = 60

b = 12. one bracelet has a total of 12 beads.

NOW: find how many beads Emery uses to calculate how many 4 necklaces and 7 bracelets.

equation: 4n + 7b = ?

4(17) + 7(12) = 152

which means there are 152 beads.

YOU SHOULD BE GRATEFUL. :D

8 0
3 years ago
If y varies directly with x and y = 2 when x = 10, then what is the value of y when x = 40? A. 8 B. 45 C. 200 D. 320
Leto [7]

Answer:

A

Step-by-step explanation:

given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 2 when x = 10

k = \frac{y}{x} = \frac{2}{10} = \frac{1}{5}

y = \frac{1}{5} x ← equation of variation

when x = 40, then

y = \frac{1}{5} × 40 = 8 → A


3 0
4 years ago
Read 2 more answers
Other questions:
  • The circumference of a sphere was measured to be 74 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
    9·1 answer
  • Alyaa gets 15 signatures each day for 12 day. One the thirteenth day Alyaa get 55 signatures. Alyaa is trying to get 500 signatu
    10·1 answer
  • What angle relationship best describes angles AFC and DFB?<br> WILL GIVE BRAINLIEST
    13·2 answers
  • Complete the tasks to subtract the polynomials
    6·1 answer
  • Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gem
    10·1 answer
  • An amusment park charges $35.50 for admission. On Saturday, 6,789 people visited the park. ABOUT how much money did the park ear
    13·2 answers
  • .25 x .22<br> what is the answer
    9·2 answers
  • Easy question for lots of points
    14·1 answer
  • Sorting Quadratic Function Discriminants
    10·1 answer
  • Suppose these show number of hours each student in a class slept last night:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!