Answer:
(RUS)={ a,c,d,ef,g}
Step-by-step explanation:
All the number of alphabets present in R and S will be the union of set R and S
Determine whether each point lies on the graph of the equation.(a) 2x - y - 3 = 0 (a) (1, 2)Yes, the point is on the graph.No, the point is not on the graph.(b) (1, -1)Yes, the point is on the graph.No, the point is not on the graph.
Answer:
a) (1, 2) not on the graph.
b) (1, -1) is on the graph.
Step-by-step explanation:
Given the equation of the line as:
[tex]2x - y - 3 = 0[/tex]
The points given are
a) (1, 2)
To determine whether it is on the graph of the line or not.
To do so, we can do 2 things:
1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.
2. To put the point in the given equation of the line, whether the equation is satisfied or not.
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=2[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - 2 - 3\\\Rightarrow -3 \neq 0 , RHS[/tex]
(1, 2) Not on the graph.
(b) (1, -1)
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=-1[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - (-1) - 3\\\Rightarrow 3-3 = 0 = RHS[/tex]
(1, -1) is on the graph.
Solve: 2x + 4 = 12. Show your work!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 12 - 4}}[/tex]
Subtract 4 from 12
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{\sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]2x+4=12[/tex]
To solve this equation, first we must minus out(subtract) 4 from both sides of the equation.
[tex]2x+4-4=12-4[/tex]
This equals [tex]2x=8[/tex]
Now we will make this into a fraction and divide the sides by 2.
[tex]\frac{2x}{2}[/tex] equals to [tex]\frac{8}{2}[/tex]
Now we got an answer!
[tex]x=4[/tex]
Hope this helps!
What is the domain for the green segment in the piecewise function
below? *
y
6
Х
1-8
1-4/
o
4
8
6
- 12
-18
1-24
O (-10,10)
O (2,10)
O 13,10]
O (1,9)
Answer:
(2,10)
Step-by-step explanation:
The x value for the green segment starts at 2 and ends at 10
Which value of x is a solution of the equation 4(x + 3)- 10 = 6(x - 2)?
Answer:
X=7
Step-by-step explanation:
4(x+3) - 10=6 ( x-2)
multiply
4x +12 - 10 = 6x - 12
4x + 2 = 6x- 12
subtract the positive 2 to the -12
4x = 6x -14
subtract 6x to the 4x
-2x = -14
divide -2 from the -14 (neg divided by a neg = positive)
x= 7
3(2x-1)=4x+12 what value of X satisfies the equation above
Answer:
[tex]x = \frac{15}{2} \\\\x =7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3\left(2x-1\right)=4x+12\\\\\mathrm{Expand\:}3\left(2x-1\right):\quad 6x-3\\6x-3=4x+12\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x-3+3=4x+12+3\\\\Simplify\\6x=4x+15\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\6x-4x=4x+15-4x\\\\Simplify\\2x =15\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{15}{2}\\\\Simplify\\x = 15/2[/tex]
Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3(2x-1)=4x+12\\[/tex]
Use 3 to open the bracket
[tex]3(2x-1) = 6x -3\\\\ 6x-3 = 4x+12\\[/tex]
Collect like terms and simplify
[tex]6x-4x = 12+3\\2x = 15[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{15}{2} \\\\x = \frac{15}{2} = 7\frac{1}{2}[/tex]
What is the volume of a sphere that has
a radius of 11.5 units?
Answer:
6370.63 is the volume
Step-by-step explanation:
V=4
3πr3=4
3·π·11.53≈6370.6263
I need help with this question
6^2-3*(3^2*2)+5
Answer:
-13
Step-by-step explanation:
Simplify the following:
6^2 - 3×3^2×2 + 5
3^2 = 9:
6^2 - 3×9×2 + 5
9×2 = 18:
6^2 - 318 + 5
6^2 = 36:
36 - 3×18 + 5
-3×18 = -54:
36 + -54 + 5
| 1 |
| 3 | 6
+ | | 5
| 4 | 1:
41 - 54
41 - 54 = -(54 - 41):
-(54 - 41)
| 5 | 4
- | 4 | 1
| 1 | 3:
Answer: -13
90 POINTS & Brainliest Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes
Using the numbers you have :
6 to -2
-2 to 2
4 to 1
-1 to 1
This is a function.
An input can only have one output, but an output can have multiple inputs.
We can make a table with the values we are given.
6 and -2
4 and -1
2 and 2
-2 and 1
Since no x-value repeats itself, it is a function. To make a function, no x-values can be repeated.
Best of Luck!
Write 20% as a decimal.
Answer:
0.2
Steps:
To convert to a decimal, divide the percent number by 100.
So, 20 divided by 100 = 0.2
30 points, help would be appreciated :)
Answer:
the answer is 77°
Step-by-step explanation:
26 +51 is 77 and they're opposite angles
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
Answer:
[tex]Per\ Capita = 64[/tex]
Step-by-step explanation:
Given
[tex]Books = 2.7 * 10^3[/tex]
[tex]People = 42[/tex]
Required
Determine the per capita
The per capita is calculated by dividing number of books by people as follows;
[tex]Per\ Capita = \frac{Books}{People}[/tex]
Substitute 2.7 * 10^3 for books and 42 for people
[tex]Per\ Capita = \frac{2.7 * 10^3}{42}[/tex]
[tex]Per\ Capita = 64[/tex] (Approximated)
Hence, the per capita is 64
HELP ASAPPPPP Becca is using a sheet of scrapbook paper with a width of x inches, and a length of 2x inches. She cut off one inch of both the length and the width. What is the area ( in square inches) of the newly cut paper, in terms of x?
Answer:
52 square in
Step-by-step explanation:
x2 is 25 by 50
The area of the new rectangle in terms of x is 2x² - 3x + 1 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
We know the area of a rectangle is (length×width).
Given, A paper with a width of x inches, and a length of 2x inches.
So, The area is (x×2x) sq inches.
= 2x² sq inches.
Now, he cut off one inch of both the length and the width which is,
= (x - 1)(2x - 1) sq inches.
= 2x² - x - 2x + 1 sq inches.
= 2x² - 3x + 1 sq inches.
learn more about rectangles here :
https://brainly.com/question/29123947
#SPJ2
How many ways can you choose seven people from a group of twenty?
Answer:
77520 according to google
Ashley Traveled 10 miles north, then 8 miles east, then 9 miles south on her boat
Please help me I’m rly confused
what number is the opposite of -24
Answer:
+24 is the opposite of -24 I think
Step-by-step explanation:
Hope it will help ^_^
Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
Answer:
perimeter: 14
Area: 10
Step-by-step explanation:
PERIMETER
2x(L+B) = 2x(5+2) = 2x(7) = 14
AREA
LxB = 5x2 = 10
PLEASE MARK ME BRAINLIEST
The tempature in Frwnoo is 71.8.
Round this temp. to nearest whole number.
Answer:
72
Step-by-step explanation:
Round to nearest whole number.
71.8 is rounded to 72.
72 is the answer to your question.
it 3x - 2 = 7, then 3x = 9
is an example of the ?
Answer:
Addition Property of Equality
Step-by-step explanation:
So we had:
[tex]3x-2=7[/tex]
And then we got:
[tex]3x=9[/tex]
We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:
[tex](3x-2)+2=(7)+2\\3x=9[/tex]
Since we added 2 to both sides, this is an example of the addition property of equality.
Al terminar de pintar la puerta de su recamara Gerardo observó que le quedaron 3/4 de litro de pintura, sí utilizó 5/8 de litro en pintar, ¿cuánta pintura tenía antes de empezar a pintar?
Answer: Tenias 1 3/8 de litros.
Step-by-step explanation:
Necesitas de sumar lo que quedo y lo que uso Gerardo, pero el 8 y el 4 necesitan de ser iguales. Si multiplicas 4x2 te da 8 y serían iguales. As lo mismo con el tres: 3x2 y te da 6. Suma el 6 por 5 y te da 11/8. Simplifica y te dará 1 litro y 3/8.
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Distributive Property Commutative Property of Addition Identity Property of Multiplication Inverse Property of Multiplication Addition Property of Equality
Answer:
Property of Equality
Y= -13/7
Step-by-step explanation:
7y – 15 = –29.
Applying rule of equality which is"anything done on one side of the equal sign should be done also on the other side of the equal sign"
7y – 15 = –29.
Adding 15 to both sides
7y - 15+15= -28+15
7y= -13
Dividing throughout by 7
7y/7= -13/7
Y= -13/7
Which of the following Expressions has a coefficient of 10 and a constant of 5?
Answer:
10r + 5
Step-by-step explanation: This is the correct answer also i just got my answer wrong lol for reals this is the correct answer
Answer:
its 10x + 5
Step-by-step explanation:
a) Let U = {1,2, ., 9} be the universal set, and let
A = {1,2,3,4,5),
C= {5, 6, 7, 8, 9), E= {2,4,6,8),
B = {4, 5, 6, 7),
D= {1, 3, 5, 7, 9), F = {1,5,9}.
Find: i) AUC
Step-by-step explanation:
(i) AUC={1,2,3,4,5,6,7,8,9}
2r-6+5r=3-r+7
pls explain how you get the answer. thanks
Answer:
r=2
Step-by-step explanation:
2r-6+5r=3-r+7
7r-6=10-r
7r+r=10-6
8r=16
r=2
Joe’s dad works 45 hours per week. He receives a weekly salary of $850, plus a 3.5% commission on sales over $6,500. Given the functions f(x) = 0.035x and g(x) = x - 6,500 and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ? (Ques 26)
Answer:
f(x) * g(x)
Step-by-step explanation:
Hours worked per week = 45 hours
Weekly salary = $850 plus ;
3.5% commission on sales above $6,500
Given the functions :
f(x) = 0.035x and
g(x) = x - 6,500
and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ?
Commission = 3.5 / 100 = 0.035
Let his sales for the week = x ; since his sales exceeds 6,500
Hence, sales on which commission is payable is x - 6,500
Hence, commission for the week :
0.035 × (x - 6,500)
f(x) = 0.035 ; g(x) = (x - 6,500)
Composition function:
f(x) * g(x)
The difference of two times a number and three
Answer:
2n - 3
Step-by-step explanation:
The difference of implies a subtraction between two terms. Two times a number, implies some number being multiplied by two. Hence, we can build the expression:
2n - 3
Where n represents the unknown number.
Cheers.
Can some body please help me with #12 pleassssssse T^T
Demitrius deposited $41.67, which was 60% of his paycheck.
Using this, we can make an equation.
If x is the amount of his paycheck,
[tex]0.6x=41.67[/tex]
[tex]x=69.45[/tex]
The value of the paycheck was $69.45.
Hope this helps.
頑張って!
x-c= y-rd, for x . . . . . . . . . . . . . .
Answer:
x = y - rd + c
Step-by-step explanation:
x - c = y -rd
x = y - rd + c
Which of the following expressions is equal to 5^6/5^2? A) 5 • 5 • 5 • 5 B) 5 • 5 • 5 C) 1/5•5•5•5 D) 3
Step-by-step explanation: To simplify, we will apply the Quotient Rule.
The 5's in this problem are bases so as you apply the quotient rule,
subtract the exponents but leave the base alone to get 5⁴.
We can also write 5⁴ as 5 · 5 · 5 · 5.
Answer:
A) 5*5*5*5
Step-by-step explanation:
Compete the equatuon descibing how x and y are related