Help!!!
Find the domain of the function. Write the answer in interval notation.
Answers
Answer:
A
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{3x+2}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - [tex]\frac{2}{3}[/tex] ← excluded value
Then
domain is ( - ∞ , - [tex]\frac{2}{3}[/tex] ) U ( - [tex]\frac{2}{3}[/tex], ∞ ) → A
Related Questions
what is the missing reason in the proof?
Answers
One number is 96 more than another. Their ratio is 5:17. Find the numbers
Answers
Answer:
40 and 136
Step-by-step explanation:
The ratio of the 2 numbers = 5 : 17 = 5x : 17x ( x is a multiplier )
One number is 96 more than the other then
17x = 5x + 96 ( subtract 5x from both sides )
12x = 96 ( divide both sides by 12 )
x = 8 , then
5x = 5 × 8 = 40
17x = 17 × 8 = 136
The 2 numbers are 40 and 136
7. Give an example of a polynomial with a degree of 3.
Answers
[tex]\large{\textrm{{{\color{navy}{ax³ + bx² + cx + d}}}}}[/tex]
It is a cubic polynomial.This cubic polynomial has 3 zeros.solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
50.8°
Step-by-step explanation:
In ∆ IJK :-
sin x = 6.2/8 x = sin -¹ ( 62/80) x = sin -¹ ( 31/40 ) x = 50.8°Three exterior angles of a pentagon measures 60,80and 90.Find the measure of other two exterior angle, assuming them equally Thanks!
Answers
Given:
The three exterior angles of a pentagon measures 60,80 and 90.
To find:
The measure of other two exterior angle, assuming them equally.
Solution:
Let x be the measure of two other exterior angles of the pentagon.
We know that the sum of all exterior angles of a pentagon is 360 degrees.
[tex]60^\circ+80^\circ+90^\circ+x+x=360^\circ[/tex]
[tex]230^\circ+2x=360^\circ[/tex]
[tex]2x=360^\circ-230^\circ[/tex]
[tex]2x=130^\circ[/tex]
Divide both sides by 2.
[tex]\dfrac{2x}{2}=\dfrac{130^\circ}{2}[/tex]
[tex]x=65^\circ[/tex]
Therefore, the measures of both exterior angles are 65 degrees.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Write using exponents.
5.5.5. b. b. b.b
1 2 3 4 5 6 89
F9 CDI
a|b|x
NEXT QUESTION
O ASK FOR HELP
TURN IT IN
Answers
The answer will just be 125b^4
Step-by-step explanation:
Basically multiply 5 by 5 by 5 and then count all of the b’s (4 b’s) and add it to the product as an exponent
Final answer: 125b^4
Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum of b?
What is the factored form of the trinomial?
Answers
Answer:
(x - 1)(7x + 4)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × - 4 = - 28 and sum = - 3
The factors are - 7 and + 4
Use these factors to split the x- term
7x² - 7x + 4x - 4 ( factor first/second and third/fourth terms )
= 7x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term
= (x - 1)(7x + 4) ← in factored form
Answer:
-7 and 4
(7x+4)(x-1)
Step-by-step explanation:
The graph shows a proportional relationship. Which equation matches the
graph?
10
14
12
10
8
6
4
2
10
2
14
4
8
10 12
O A. y = x
O B. y = 2
O C. y = 50
O D. 9=152
Answers
Answer:
C.
Step-by-step explanation:
i guess it's letter c. y=50
Tell whether the angles are adjacent or vertical. Then find the value of x.
The angles are angles
The value of x is
Answers
Answer:
If two angles have common side and they shares common vertex, they are called adjacent angles.
When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.
Two angles shown in diagram are adjacent as they are on common side.
Both the angles are on a straight line, hence
Subtracting 109 from both sides
Both angles shown in diagram are opposite to each other, hence vertical angles.
As they are opposite to each other, they both are equal.
Subtracting x from both sides
Subtracting 1 from both sides
Both angles are having a common side means they are adjacent angles.
As they are on straight line, both angles will add up to 180 °.
Subtracting 96 from both sides
Dividing from 6 in both sides
Hope it will help :)
Select the two values of x that are roots of this equation.
x² + 3x-6=0
A. X=
-3+ /33
2
B. x=-3-83
c. x. -3-15
D. x. -3*4/15
please help
Answers
Answer:
[tex]x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
Step-by-step explanation:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 3 + - \sqrt{9 + 24} }{2} \\ x1 = \frac{ - 3 - \sqrt{33} }{2} \\ x2 = \frac{ - 3 + \sqrt{33} }{2} [/tex]
Try Again
Alvin is 7 years older than Elga. The sum of their ages is 79. What is Elga's age?
39 уга
years old
?
Answers
Answer:
36 years
Step-by-step explanation:
Let
x = Elga's age
Alvin's age = x + 7
Sum of their ages = 79
Sum of their ages = Alvin's age + Elga's age
79 = (x + 7) + x
79 = x + 7 + x
79 = 2x + 7
79 - 7 = 2x
72 = 2x
x = 72/2
x = 36
Elga's age = x = 36 years
Alvin's age = x + 7
= 36 + 7
= 43 years
Ashvin want to replace the carpet in your living room and hallway with laminate flooring.
Find the total area of the hallway and living room.
Answers
Answer:
I’m sorry but you need to edit this question, it is incomplete.
Step-by-step explanation:
I see nothing, if there is supposed to be an image attached, please i attach it again, tnx!
I could help you though
−3x−6+(−1)
need answer pls
Answers
Step-by-step explanation:
−3x−6+(−1)
-3x-7
Hope it helps youAnswer:
−3 −7
Step-by-step explanation:
-3x-6-1
-3x-7
Pes
Refer to the figure below to answer the following questions.
2 ft
4 ft
Find the surface area. Round to the nearest tenth.
75.4 ft2
50.3ft2
62.8 ft2
0 25.1 ft2
Answers
Answer:
75.4
Step-by-step explanation:
75.4area of cylinder is 2pie r h plus 2 pie * 2^2
simplify the ratio 4.5: 3 1/2 in its simplest form
Answers
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 [tex]\frac{1}{2}[/tex] ( multiply both parts by 2 to clear the fractions )
= 9 : 7
Ali sold some cakes at a cake sale.
The cakes are chocolate, lemon or vanilla flavoured.
The cakes are either large or small.
complete the two way table
Answers
Answer:
vanilla small= 14
lemon large= 25
Step-by-step explanation:
total= 120
120÷3= 40
each of flavoured cake have 40
lemon= 40 - 26= 14
vanilla= 40- 15= 25
A circular garden is surrounded by a circular path of 7m width.If the area of path is 770m²,find the area of the garden without path.
help me this question ⁉️
Answers
Answer:
Answer:
Radius of the circular garden
= 210 sq
=105m
Radius of the region covering the garden and the path =105m+7m
=112m
Area of the region between two concentric circles
with radius of outer circle R, and inner circle r =π(R sq−r sq)
Hence, the area of the path
=π(112sq−105 sq)= 7/22
(12544−11025)
= 33418/7
=4774m sq
HOPE THIS WILL HELP YOU MATE
1. Paul uses a coordinate plane to design
his model town layout.
Paul moves the market 2 units left and 3
units down. He says the ordered pair for
the new location of the market is (0,6).
Explain Paul's mistake and write the
correct ordered pair for the new location of
the market.
PLZ ALSO INCLUDE WHAT HIS MISTAKE WAS!
ANSWER FOR Brainiest!!!
Answers
if you know the value of X and Y.. please let me know.
Answers
Hopefully, this was helpful
hope you understand what i’m trying ti explain for you
Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50. Please help ASAP!!!!
Answers
Answer:
what is the question you are only telling us the fact
Step-by-step explanation:
help plss i will make you brainl
Answers
Answer:
3
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
4 vehicles have been driven between 50 and 100 thousand kilometers.
2 vehicles have been driven at 250 and 300 thousand kilometers.
4 - 2 = 2
PLS MARK BRAINLIEST
What is domain and range of the following graph? 10 points!!!
Answers
Answer:
domain R
range is ] - infinity, -4]
to assure u :)
What is the result of isolating x^2 in the equation below?
y^2-3x^2 = 6
Answers
Answer;
x² = 42 - 2
3
Step-by-step explanation:
#carryonlearning
Answer:
Step-by-step explanation:
y² - 3x² = 6
Subtract y² from both sides
-3x² = 6 - y²
Divide by -3
[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]
Please send me answer please
Answers
the answer will be
11.25÷15=0.75Hooe it helps!
Someone please help me out
Answers
Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)( {x}^{2} - 1)[/tex]
Question 4
Points 2
A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to
cover a total of 24 kilometers? Solve using unit rates.
Answers
3km = 1 trip
24 km = 8 trips
There are 103 pounds of wood pieces in a bag. Each wood piece weighs 53 pounds. How many wood pieces are there in the bag?
Answers
Answer:
Approximately 2
Step-by-step explanation:
103 divided by 53 is 1.94
Round 1. 94 up to a whole number is approximately 2 wood pieces.
I need who help .. who can be my lifesaver
Answers
Answer:
Q = G
Step-by-step explanation:
We are already given that angle P = angle H
We are also given that side QP = side GH
Remember if two sides are congruent then so are their opposite angles meaning that the opposite angle of GH ( which would be angle F ) would be congruent to the opposite angle of QP ( which would be angle R )
The remaining angles would be angle q and angle g so the additional information needed would be G = Q
2(4+2x)≥5x+5 solve inequality
Answers
Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
Luigi uses 39 cups of flour for every 6 pizzas he makes. How many cups of flour does he need to make 4 pizzas? If he uses 13 cups of flour how many pizzas can he make?
Answers
Answer:
4 pizzas - 26 cups
13 cups - 2 pizzas
Step-by-step explanation:
4 pizzas:
39 cups : 6 pizzas
6.5 cups : 1 pizza
6.5×4 cups : 4 pizzas
4 pizzas = 26 cups
6.5 cups : 1 pizza
13/6.5 cups : x pizzas
13 cups = 2 pizzas
Answer:
1) necesita 26 tazas de harina .
2) puede hacer solo 2 pizzas .
espero te sirva :)
Step-by-step explanation:
1) 39 dividido en 6 = 6,5 , 6,5 por 4 = 26.
2) 6,5 por 2 = 13.