A = {0, 1}
B = {2, 3, 4}
C = {3, 5}
Then we have
A × (B U C)
= {0, 1} × {2, 3, 4, 5}
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and
(A × B) U (A × C)
= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}
(underlined pairs are duplicates and common to both A × B and A × C)
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and these two sets are clearly identical.
To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you
come up with values to use in the graph?
T-chart using positive real numbers C. T-chart using all real numbers
b. T-chart using negative real numbers d. T-chart using random values for x and y
a.
Please select the best answer from the choices provided
OA
ОВ
D
and Guit
Submit
To graph an exponential,
d. T-chart using random values for x and y.
What is mean by graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Now,
We know an exponential function is a function in which the independent variable is the exponent.
One such function is y = eˣ
Now, To graph an exponential function you come up with values to use in the graph should be a T-chart using random values for x and y.
As it would result in graphing the complete nature of the function.
Learn more about graphs here :
brainly.com/question/2288321
#SPJ7
Solve the compound inequality. Graph the solution
Answer: Choice B
Work Shown:
[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]
This says that x is between 1 and 4; it can equal 1, but it can't equal 4.
To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.
>
→
PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines
Answer:
Parallel lines
Step-by-step explanation:
What is the volume of the following rectangula
prism?
4
units
3
23
units
4
SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW
The y-intercept of the line with equation 8x-4y=12
Answer:
y- intercept, x=0
8(0)-4y=12
y=-3
This is my question:
Answer:
48 children went to the big picnic
Step-by-step explanation:
hope that helps>3
Answer:
48 children
Step-by-step explanation:
1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.
Step-by-step explanation:
ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.
In ∆ABD and ∆BAC
•AD=BC. (given)
•<DAB=<CBA (given)
•AB=BA. (common side)
Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}
Find (fog)(x).
f(x) = -5x - 2
g(x) = -6x – 6
Write your answer as a polynomial in simplest form.
(fog)(x) =
Answer:
30x + 28
Step-by-step explanation:
To evaluate (f ○ g)(x), substitute x = g(x) into f(x) , that is
f(g(x))
= f(- 6x - 6)
= - 5(- 6x - 6) - 2 ← distribute parenthesis and simplify
= 30x + 30 - 2
= 30x + 28
Please Help im being timed!!! Is this True or False
Answer:
True
Step-by-step explanation:
[tex]f(x)=y=-8x+5: exchanging\ x\ and\ y\\\\x=-8y+5\\\\8y=-x+5\\\\f^{-1}(x)=y=\dfrac{-x}{8}+\dfrac{5}{8} =g(x)\\\\\\[/tex]
The two functions are inverses.
Solve for x please will mark brainliest
Answer:
[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]
Please can you solve this questions for me!!
It's important
15:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^5y^6}{xy^2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}y^{6-2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^4y^4[/tex]
16:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^2y^5}{xy^4}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{2-1}y^{5-4}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto xy[/tex]
17;-
[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{4x^5y}{16xy^4}\right)^3[/tex]
[tex]\\ \qquad\quad\sf\longmapsto (4^{1-2}x^{5-1}y^{1-4})^3[/tex]
[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^4y^{-3})^3[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 4^{-3}x^{12}y^{-9}[/tex]
18:-
[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{5x^3y}{20xy^5}\right)^4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^{2}y^{-4})^4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 4^{-4}x^8y^{-16}[/tex]
19:-
[tex]\\ \qquad\quad\sf\longmapsto y^{-7}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{y^7}[/tex]
20:-
[tex]\\ \qquad\quad\sf\longmapsto 7^{-2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{7^2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{49}[/tex]
21:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^{-5}}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^5[/tex]
22:-
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{2^{-4}}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 2^4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 16[/tex]
23:-
[tex]\\ \qquad\quad\sf\longmapsto x^5\times x^{-1}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^4[/tex]
24:-.
[tex]\\ \qquad\quad\sf\longmapsto x^{-6}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^6}[/tex]
25:-
[tex]\\ \qquad\quad\sf\longmapsto x^9(x^{-7})[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^{9-7}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto x^2[/tex]
The graph of y = 2x + 1 is:
True or False
Answer:
False
Step-by-step explanation:
If the graph represented y = 2x + 1, then the y-intercept would be 1. The slope is correct(-ish), the y-intercept is not.
Are 8x²y and -5yx2 like terms? Explain.
Answer:
In algebra, like terms are terms that have the same variables and powers. ... Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
Answer:
These are not like terms.
Step-by-step explanation:
Although their variables are the same, the exponents are different. LIke terms must have the same variables AND same exponents. The first term's variables are: x raised to the second power times y, while the other term's variables are: y times x times 2
2x ≠ x²
8, 13, 18, 23 how to write out the sequence Nth term
Answer:
5n+3
Step-by-step explanation:
:)
Answer:
[tex]\alpha n=5n+3[/tex]
Step-by-step explanation:
HELP PLEASE I NEED THIS ONE!!!
If n/30 lies between 1/5 and 1/3, what are all the possible values of n if n is a whole number?
I’ll give brainliest
Answer:
7, 8, 9
Step-by-step explanation:
1/5 = 6/30
1/3 = 10/30
Find the quotient. Round to the hundredths place.
99.466 divided by 14.8
Answer:
6.72
Step-by-step explanation:
I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148
Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72
help please!!
angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?
Answer:
angle 1 + angle 2 = ∠DEB
angle 7 + angle 8 = ∠NEG
angle 1 + angle 6 = ∠NEA
Jon has to pay $7.00 admission for the skating rink in $1.50 per hour to rent rollerblades. How many hours can he skate for $19?
Answer: 8 hours
Step-by-step explanation:
Given information
Admission fee = $7.00
Hour rent fee = $1.50
Number of hours = h
Total fee = $19
Set equation according to the given information
Total fee = admission fee + (hours) × (hour rend fee)
Substitute values into the equation
19 = 7 + 1.5h
Subtract 7 on both sides
19 - 7 = 7 + 1.5h - 7
12 = 1.5h
Divide 1.5 on both sides
12 / 1.5 = 1.5h / 1.5
[tex]\boxed{h=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Help me pls i have to finish my homework i have more questions to post too
Answer:
17) 19
19) 8
Step-by-step explanation:
17)
(6 +6² -4)÷2
(6 +36 -4)÷2
(38)÷2
19
19)
3³ ÷3 - 1
27 ÷3 -1
9 -1
8
Make the number 16 using six "1"s. Example: Make the number 18 using six "1"s. A: (11-1-1)(1+1)= 18
help pls its ez :))))))))))))))))
Answer:
Yes
Step-by-step explanation:
6 × 18.75 = 112.50
8 × 18.75 = 150.00
11 × 18.75 = 206.25
Simplify.
What is the answer?
Answer:
81[tex]y^{8}[/tex][tex]z^{4}[/tex]
Step-by-step explanation:
Which equation has the solution x=-4? a 2(x-4)=16 b 3x+6-2x=-2 c 1/4x+4=3 d(x+6)3=-6 need help plz
Answer:
C: 1/4x + 4 = 3
Step-by-step explanation:
1/4x + 4 = 3
1/4x = 3 - 4
x = - 4
Thus, option c gives out the solution x = - 4.
How many solutions does the following equation have? 7 x - 5(2x - 4) - 8 = 15 - (3 - x) - 4x
a. no solution
b. exactly one solution
c. at least two solutions
d. infinitely many solutions
Answer:
no soultion
Step-by-step explanation:
did on paper
Answer:
exactly one solution
Step-by-step explanation:
got it right on khan lol
Solve for x 3/4x + 5/4 = 4x
(9the grade Algebra 1 )
Answer:
[tex]x = \frac{5}{13} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} x + \frac{5}{4} = 4x[/tex]
[tex]3x + 5 = 16x[/tex]
[tex]3x - 16x = - 5[/tex]
[tex] - 13x = - 5[/tex]
[tex]x = \frac{5}{13} [/tex]
If 2^10 + 2^10 = 2^x, what's x?
Answer:
11
Step-by-step explanation:
2^10 + 2^10 = 2^x
1024 + 1024 = 2^x
2,048 = 2^x
x = 11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2^{10}+2^{10} = 2^x\\--------------\\\rightarrow 2^{10} = 1024\\\\\rightarrow 1024 + 1024 = 2^x\\\\\rightarrow 2048 = 2 ^x\\\\\rightarrow log(2^x)=log(2048)\\\\\rightarrow xlog(2)=log(2048)\\\\\rightarrow \frac{log(2)}{log(2)} =\frac{log(2048)}{log(2)}\\\\\rightarrow x = \frac{log(2048)}{log(2)}\\\\\rightarrow \boxed{x = 11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0
Answer:
0.0300300030000...
Step-by-step explanation:
An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.
1632 can be written as 3264/2
0.25 can be written as 1/4
0 could be written as 0/0
but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.
Expand and simplify 5)3x+2)-2(4x-1)
Answer:
It is 7x + 12
Step-by-step explanation:
[tex]5(3x + 2) - 2(4x - 1)[/tex]
open brackets:
[tex] = 15x + 10 - 8x + 2[/tex]
group like terms together:
[tex] = (15x - 8x) + (10 + 2)[/tex]
factorise out x :
[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]
please help with this one
A. is the correct answer
Answer:
A
Step-by-step explanation:
(x-3)(2x+1)= (due to FOIL(First Outer Inner Last)) (First)2x^2-(Outer+Inner)5x-(Last)3. 2x^2-5x-3 is what A says, so A is the answer.
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]