Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
5/6 + (-4/9)-(-2) ??????
Answer:
2 7/18
Step-by-step explanation:
Follow the pemdas order of operations, apply the + (-a) = a Rule. Add and subract from left to right. 5/6 - 4/9 = 7/18 with 2 and it gives you your answer but keep in mind the two multiples are 6,9. Hope this helps!
How many department stores have exactly 37 pairs of glasses?
A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning.
Given:
Total number of marbles in the bag = 150
There are 21 blue marbles for every 4 white marbles.
To find:
The number of blue marbles in the bag.
Solution:
Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.
Let the number of blue marbles be 21x and white marbles be 4x.
Total number of marbles in the bag = 150
[tex]21x+4x=150[/tex]
[tex]25x=150[/tex]
Divide both sides by 25.
[tex]x=\dfrac{150}{25}[/tex]
[tex]x=6[/tex]
Now,
[tex]\text{Blue marbles}=21x[/tex]
[tex]\text{Blue marbles}=21(6)[/tex]
[tex]\text{Blue marbles}=126[/tex]
Therefore, the number of blue marbles is 126.
what is coefficient in front of a variable by itself
Answer:
Step-by-step explanation:
Well Coefficent means its by it self with is called a constant. A coffecient is a number used to mulitpy a varable
PLZZZ HELP DUE IN 5 MINS
Which set of ordered pairs represents a function?
{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}
{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)}
{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)}
{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)}
Answer:
{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}
Step-by-step explanation:
recall that for a function to be valid, every input must give one and only 1 output. (i.e every x-ordinate must have only one unique corresponding y-ordinate)
I have highlighted in bold and underlined the entries for each of the other choices where an x-value gives more than one possible y-value, hence these are not functions. only the first option satisfies this condition:
{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)} Every x-value has a unique y-value, so it is possible that this is a function.
{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)} (not a function)
{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)} (not a function)
{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)} (not a function)
Help please I’m really having trouble on my class work please help w all 3
Answer:
Number 4. A
Number 5. B
Number 6. B
Step-by-step explanation: On god
Can You write me a three-paragraph reflection about how the first trimester went. Since I helped you plz
Brainleist!!!!!!!!!!!!
Answer:
I can't make a table but it would be like year to inches of percipitation Like:
Year | Precipitation (Inches)
2015 | 44.83
2016 | 45.18
2017 | 47.87
2018 | 35.73
2019 | 33.88
For the relationship just determine the pattern if it is addition subtraction e.t.c
Ex. The relationship is +30 or -56
Last but not least determine if it is a function pretty simple
And for my effort please name me the brainliest I really need Thank u
Answer:
2015 | 44.83
2016 | 45.18
2017 | 47.87
2018 | 35.73
2019 | 33.88
Step-by-step explanation:
Find the standardized test statistic t for a sample with n = 15, = 10 , s = 0.8, and if Round your answer to three decimal places.
Complete question :
Find the standardized test statistic t for a sample with n = 15, x = 10, s = 0.8, H0: μ = 10.5. Round your answer to three decimal places.
Answer:
−2.420614
Step-by-step explanation:
Given that:
Given that:
n = 10
s = 0.8
X = 15
μ = 15.9
Using the relation :
(x - μ) / (s/√n)
(10 - 10.5) / (0.8/√15)
-0.9 / 0.2065591
= −2.420614
Hence, the standardized test statistic = −2.420614
please help me I need this for school
Answer:
It would be c!
Step-by-step explanation:
please help me
evaluate
-x^2 + 2
for
x=5
Answer: Answer is 27.
Step-by-step explanation: -5 squared is 25 plus 2 is 27.
Answer:
27
Step-by-step explanation:
-x^2+2
Substitute the x for a 5
-5^2+2
-5^2=25
25+2=27
The answer is 27
A bat can fly 84 feet in four seconds. A dove can
fly 35 feet in two seconds. Which can fly faster and by
how much?
Answer:
A bat
Step-by-step explanation:
Answer:
The bat flies faster by 7 feet
Step-by-step explanation:
first, you need to find some common ground. 84 and 4 can both be divided by two 84/2=42 so now we know that:
-The bat flies 42 feet in two seconds
-The dove flies 35 feet in two seconds
So we know that the bad flies faster because the number is greater, but by how much?
To find this just subtract 35 from 42 to get 7.
So to summarize
The bat flies faster by 7 feet
Solve this equation:
2.7x (27 + 4x) - 45y + 2
if y = 3
and x = 5
Sorry if this is a tough problem.
Answer:
501.5
Step-by-step explanation:
Fill it in.
2.7(5)(27+4(5))-45(3)+2Multiply, 13.5(27+20)-135+2Add, 13.5(47)-133Multiply, 634.5-133Subtract, 501.5Answer: 2.7x (27 + 4x) - 45y + 2 = 501.5
Step-by-step explanation:
Start with 2.7x (27 + 4x)
so 2.7(5) = 13.5
and then you change the number that multiplies with the others:
13.5 (27 + 4x)
Then multiply them:
364.5 + 54x
And then add them with the rest of your equation:
364.5 + 54x - 45y + 2
Now multiply the numbers that have the variables:
364.5 + 54x - 45y + 2
54(5) = 270 and -45(3) = -135
then add them to the equation again:
364.5 + 270 -135 + 2
And then add them or subtract them altogether (I added 364.5 and 270 first and I got: 634.5. And then I subtracted/added -135 + 2 second and I got: -133.
then do 634.5 - 133 and you should get 501.5.
Solve the system:
2x - y = 4
x + y = 5
( 3 , 2 ) Equation Form: x = 3 , y = 2
Answer:
(x=3, y=2)
Step-by-step explanation:
2x-y=4------equation1
x+y=5-----equation2
Add equation 1 to equation2
3x=9
x=9/3
x=3
substitute x=3 into equation 2
x+y=5
3+y=5
y=5-3
y=2
Ivan purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Ivan paid.
Answer:
4n=c
Step-by-step explanation:
your trying to figure out how how much he paid and how much money it cost total so you have to multiply the cost of one by the number of notebooks you have n and by doing that you would be able to get your total cost c
Answer:
The cost of n notebooks is 4n dollars.
Step-by-step explanation:
C(n) = 4n
example. consider the function f (x) = x^3 – 3x + 1 (1) find the critical points of f(x) and the intervals on which the function f(x) is increasing and decreasing, and determine relative extrema of f(x) (11) find the intervals on which the function f(x) is concave up and concave down and locate the inflection points of f(x)
Answerdddddddddddddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
An expression is written as m−5(m+3) +7m.
What is the value of the expression when m=x+1?
The lawful speeds S on an interstate highway satisfy |S-60| <= 17.5. Find the maximum and minimum speed limits by solving the absolute value equation |S-60| = 17.5
Answer:
Step-by-step explanation:
Given the expression of the speed satisfying the equation |S-60|≤17.5
The inequality expression will return both a negative and positive value.
For the positive value of the function;
S-60 ≤17.5
S ≤17.5+60
S ≤ 77.5
For the negative value of the function;
-(S-60) ≤17.5
-S+60 ≤17.5
-S ≤17.5 -60
-S ≤ -42.5
multiply through by -1
S≥42.5
Hence the minimum speed limit is S≥42.5 while the maximum is S ≤ 77.5
Case #3
All of Mr. Bassett's science classes are going to the Natural
History Museum. A tour guide is needed for each group of
eight students. His classes have 28 students, 35 students,
22 students, 33 students, and 22 students.
How many tour guides are needed?
Answer:
17.5 tour guides are needed . In my idea.
Answer:
18
Step-by-step explanation:
If you add all of the students then divide by 8 you get 17.5. However, you can't have .5 of a tour guide, so you round up to 18.
28+35+22+33+22=140
140/8=17.5
17.5 ≈ 18 tour guides
Hope this helps!
plz answer its due in 5 min,
!!!!!!!
Answer:
the answer is 2x-22
Step-by-step explanation:
Answer:
x = 22Step-by-step explanation:
4x = 6x - 44
4x - 6x = -44
-2x = -44
x = 44/2
x = 22
Kayla has $35 in her wallet. She just got a babysitting job and now makes $50 more a week.
Write an equation to express how much money Kayla has at any point in time.
Answer:
She has $85 and now she will make $50 more each week.
Step-by-step explanation:
She has $85 and now she will make $50 more each week.
100 POINTS! PLEASE HELP
Please please please get this correct!
Answer:
y = -1/4x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
Slope m = -1/4
y-intercept b = 5
Step 2: Write linear equation
Define general: y = mx + bSubstitute: y = -1/4x + 5And we have our final answer!
Answer:y = -1/4x + 5
Hope this helps
24 pointss helpssss..tysmmm
Answer:
B
Step-by-step explanation:
Answer:
im not sure but i think its d
Step-by-step explanation:
What is the value of the expression below when x=1?
4x² + 5
Answer:
its 9
Step-by-step explanation:
bec 1 square is 1 and 4 +5 is 9
Answer:
9
Step-by-step explanation:
4x^2+5=
4(1)^2+5=
4(1)+5=
4+5=
9
Rosa needs 3 pounds of ground beef to make a recipe. She has 3.68 pounds of ground beef. Does Rosa have enough ground beef to make her recipe
Answer:
yes
Step-by-step explanation:
3.68-3=0.68 (SHE HAS ENOUGH!!!)
I WILL MARK BRAINLIST
help ASAP and please answer both questions asked
Answer:
1. 768 square yards
2. 384 square yards
Step-by-step explanation:
1. 16 x 16 = 256
256 x 3 = 768 square yards
2. 16 x 16 = 256
256/2 = 128
128 x 3 = 384 square yards
The table below shows the number of different types of animals available at a pet store.
Types of Animals Number of Animals
puppies
17
kittens
12
rabbits
6
hamsters
2
If two puppies are purchased, what is the ratio of the number of puppies remaining to the total
number of animals remaining?
A
19
B
ch
D
Answer:
remaining amount of animals should be 35
Step-by-step explanation:
First add up all the pets in the store = 37
Then minus the 2 puppies = 35
then put it as 2:35
Answer:
3:7
Step-by-step explanation:
Show that x = 0 is not a solution to the equation 2x = x + 5. Explain your answer. will brainlist
Answer:
Step-by-step explanation:
If you substitute 0 to x the equation will not be right.
2*0 = 0 + 5
0 ≠ 5
0 is not equal to right. So 0 is not a solution for the equation.
The solution is actually 5. X=5
Answer:
:3))
Step-by-step explanation:
2x = x + 5 original equation
2(0) = 0 + 5 plug in 0 ("solution") for x
0 = 0 + 5 simplify 2(0)
0 = 5 (not true) simplify 0 + 5
Because the final answer to the equation wasn't true when using the input value of 0 for x, we know that 0 is not a solution to this equation.
Which graph would be the best to represent the amount of rainfall each month for one year?
A)
bar graph
B)
pie graph
flow chart
D)
auto graph
E)
box-and-whisker plot
Answer:
B
Step-by-step explanation:
This is just personal preference, I prefer a flow chart because I can clearly see the difference between the amount of rainfall each month.
Find a third degree polynomial with rational coefficients that has the given numbers as given roots
4 and 3 - [tex]\sqrt{2}[/tex]
Answer:
[tex]x^3-10x^2+31x-28[/tex]
Step-by-step explanation:
Since we are looking for a polynomial with RATIONAL coefficients, then we know that if [tex]3-\sqrt{2}[/tex] is a root, then its conjugate [tex]3+\sqrt{2}[/tex] must also be a root
Therefore, we build the polynomial using binomial factors with the given roots as shown below:
[tex](x-4)*(x-3+\sqrt{2} )*(x-3-\sqrt{2} )= (x-4)((x-3)^2-2)=\\=(x-4)*(x^2-6x+9-2) =(x-4)*(x^2-6x+7)=\\=x^3-10x^2+31x-28[/tex]
(2x+3y=23)(3x+4y=15)using ellimination method.
Answer:
x = -47, y = 39
Step-by-step explanation:
2x+3y=23 →equation 1
3x+4y=15 →equation 2
by elimination method,
(2x+3y=23) × 4
(3x+4y=15) × 3
8x + 12y = 92
(-) (-) (-)
9x + 12y = 45
---------------------
-1x + 0 = 47
-x = 47
x = -47
substitute x=-47 in equation 1
2(-47) + 3y = 23
-94 + 3y = 23
3y = 23 + 94
3y = 117
y = 117/3
y = 39
therefore, x = -47 and y = 39
hope you understood ❤❤❤