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 equation of the
following line written in slope-Intercept form?
Answers
Answer:
y = -7x - 11
Step-by-step explanation:
Jamel made $3.50 for taking 10 pounds of aluminum cans to a recycling plant. At that rate how much would Jamel make for 18 pounds of aluminum cans?
Answers
Answer:
Jamel would make $6.30 for 18 pounds of aluminum cans.
Step-by-step explanation:
Lets find the unit rate per pound:
3.50 ÷ 10 = 0.35
1 pound of aluminum cans = $0.35
To find how much it will cost to take 18 pounds of aluminum cans to a recycling plant, multiply the unit rate by 18 pounds:
0.35 x 18 = 6.3
Therefore, Jamal would make $6.30 for 18 pounds of aluminum cans.
Hope this helps
Solve for x. Round your answer to the nearest tenth if necessary.
Answers
Answer:
12.6
Step-by-step explanation:
[tex]\frac{84}{87}[/tex] = [tex]\frac{x}{13}[/tex]
cross multiply
87x = 1092
x = 12.6 rounded
Huilan's age is three times Thomas's age. The sum of their ages is 100. What is Thomas's age? 1 years old
Answers
Answer:
thomas is 25 years old
Step-by-step explanation:
ratio = 3:1
3+1=4
total age=100
Thomas age = 1/4 × 100 = 25
2 thirds divided by 4
Answers
Help please... What is the measurement of arc AC?
Answers
Answer:
D) 88 degrees
Step-by-step explanation:
Angle ABC is 1/2Arc AC (Inscribed angle theorem)
Explain how the quotient of powers was used to simplify this expression
Answers
Answer:
See explanation
Step-by-step explanation:
Given:
5⁴/25 = 5²
25 = 5²
Then,
5⁴ / 25
= 5⁴/5²
Note:
• multiplication sign means addition in indices
• Division sign means subtraction in indices
Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers
So,
5⁴/5²
= 5^(4 - 2)
= 5^(2)
= 5²
Therefore,
5⁴ / 25 = 5²
Which number produces an irrational number when multiplied by 3/4
Answers
any irrational number would do, like pi or root(2)
the lateral surface area of right circular cylinder is 120 pi cm squared and the circumference is 12 cm find the height
Answers
Answer:
h=31.4 cm
Step-by-step explanation:
A=lateral surface area
c=circumference
h=height
A= c*h
solving for h we get:
h=A/c=120pi/12=10pi
Y
U
R
R
R
I really need help, pls help. :)
Which properties justify the steps taken to solve the system?
{2x−4y=−63x+2y=−1
Drag and drop the answers into the boxes to match each step.
Answers
Answer:
Step-by-step explanation:
1). 6x - 12y = -18
6x + 4y = -2
Multiplication property of equality.
2). -16y = -16
Substitution property of equality.
3). y = 1
Division property of equality.
4). 2x - 4(1) = -6
Substitution property of equality.
5). 2x - 4 = -6
Simplify.
6). 2x = -2
Addition property of equality
7). x = -1
Division property of equality
Bus A and Bus B leave the bus depot at 7 am.
Bus A takes 30 minutes to complete its route once and bus B takes 50 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.
Answers
Answer:
9:30 am
Step-by-step explanation:
We can make a chart and keep filling it in until we see the same time in both columns.
Bus A Bus B
7:00 7:00
7:30 7:50
8:00 8:40
8:30 9:30
9:00 10:20
9:30
Answer: 9:30 am
We can also use the least common multiple of 30 and 50.
We need to find the smallest number that is a multiple of both 30 and 50.
30 = 2 * 3 * 5
50 = 2 * 5^2
LCD = 2 * 3 * 5^2 = 150
The first time the buses will be at the depot together after 7:00 am is 150 minutes later. 150 minutes = 2 hours 30 minutes.
7:00 am + 2 hours and 30 minutes = 9:30 am
Answer: 9:30 am
Answer:
they never get back together bus b is always behind
Step-by-step explanation:
i need help.
A. 145
B. 35
C. 55
D. 75
Answers
Explanation:
Angles 4 and 8 are corresponding angles since they are both in the southwest corner of their respective 4 corner configuration.
Corresponding angles are congruent when we have parallel lines like this.
Set the expressions equal to each other and solve for x
angle 4 = angle 8
x+20 = 2x+5
x-2x = 5-20
-x = -15
x = 15
Use this x value to find the two angles to help confirm we have the correct x value, and to finish up to answer the question.
angle 4 = x+20 = 15+20 = 35angle 8 = 2x+5 = 2(15)+5 = 30+5 = 35So that's why the answer is B) 35 degrees
one more question
(-8)+___=-17
Answers
Answer:
-9
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
-8 +___= - 17
___=-17 +8
___=-9
=-9
Find a recursive rule for the nth term of the sequence.
-10, 2, 14, 26, ...
Answers
9514 1404 393
Answer:
a[1] = -10
a[n] = 12 + a[n-1]
Step-by-step explanation:
First differences are ...
2 -(-10) = 1214 -2 = 1226 -14 = 12A constant first difference of 12 means this is an arithmetic sequence. Each term is 12 more than the previous, so the recursive rule is ...
a[1] = -10
a[n] = 12 + a[n-1]
NEED HELP ON This!! 5 points!!!
Answers
Answer:
Step-by-step explanation:
Relations are functions if you can run a perfectly vertical line through it and it only goes through the graph in one place each time. This is a function.
A relation is one to one if it passes the horizontal line test. In other words, if you run a perfectly horizontal line through this graph, it will pass through in more than one place.
Summary: it is a function, but it is not one to one. Last choice shown.
CO
Evaluate the function for an input of 0.
x
f(x)
-2
0
IX-2
0
-1
3
3
O
4
4
1
3
2.
0
Answers
Explanation:
Refer to row three of the table. The table shows that when x = 0, we have f(x) = 4. This is the same as saying f(0) = 4.
Answer:
the answer
-2 0-2
someone help me please with this algebra problem
Answers
Answer:
x=44-y
Step-by-step explanation:
In this problem, there are 44 glasses in total. Additionally, we want to know how many ice teas she can have; therefore, we must find x. The problem tells us that when x and y are added together they should equal 44. One way to solve this is to write the equation, x+y=44, because we know it is true and then solve for x. To find x subtract y from both sides. This equals x=44-y, the final answer.
explanation: y is the lemonade, and every time a glass of it is poured it is taking away from the 44 glasses. after the lemonade is poured it leaves x iced tea glasses. you can eliminate half of the answers off the bat because you know you’re looking for iced tea glasses, so whatever equation is there must equal x which elimates option 1 and 3.
if P = (1,6) find r90° (P)
Answers
Answer:
(-6,1) got you homie
Step-by-step explanation:
A savings account for a car is set up with an initial balance of $1500, and 250 is added every month (no other
transactions occur on the account). Write the expression: Write the equation equal to the $5,000 car goal: M=
1. How long will it take:
Answers
Answer:
ok so first we subtract 1500
5000-1500=3500
3500 divided by 250= 14
So it will take 14 months
Hope This Helps!!!
álgebra 1 solve -7 + 18(17h + 19)
Answers
Answer: =360h+335
Step-by-step explanation:
Answer:
306h + 281
Step-by-step explanation:
-7 + 18(17h + 19)
-7 + 306h + 288
306h + 281
2
What is the value of x in the equation 7x + 2y = 48, when y = 3?
Answers
Answer: 6
Step-by-step explanation: 7x+2y=48
7x+2(3)=48
7x+6=48
7x=48+6
7x=42
x=42/7
x=6
please help me it’s urgent
Answers
Answer:
600g of Flour
Step-by-step explanation:
According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.
Answer:
600 g of flour.
Step-by-step explanation:
If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.
If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.
Therefore, she will need 600 g of flour.
Question 3: use the image and your knowledge of the isosceles triangle to find the value of x
Answers
Answer:
72 +72=144
180-144=36
the answer is 36°
The measure of the angle x is 36° obtained by the concept of an Isosceles triangle and interior angle sum.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know an isosceles triangle has two similar sides and angles opposite to the similar side and also measures the same.
So, By the interior angle sum concept,
72° + 72° + x = 180°.
x = 36°.
learn more about triangles here :
https://brainly.com/question/16886469
#SPJ2
What else would need to be congruent to show that triangle EFG=~ triangle HIJ by SSS?
A
P
E
X
Answers
Answer:
C
Step-by-step explanation:
In order to prove congruency using SSS, we need to prove that all three pairs of sides are congruent.
We are already given that EF ≅ HI and that FG ≅ IJ.
Therefore, the last bit of information we need to prove congruency using SSS is that EG ≅ HJ.
Hence, our answer is C.
Which statement is not always true for a parallelogram?
A. Consecutive angles are supplementary.
B. Diagonals are congruent.
C. Opposite sides are congruent.
D. Opposite angles are congruent.
Answers
Explanation:
If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.
If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.
Choices A, C and D are true for any parallelogram (rectangle or not).
Which of the following is not a function?
O A. {(1,2), (2,2), (3,2), (4,2)}
B. {(1,2), (9,-3), (-3,-1), (8,2)}
C. {(1,2), (2,3), (3,4), (4,5)}
D. {(1,2), (-2,3), (1,3), (-2,2)}
Answers
Answer:
D......................
Help me if you dont mind
Answers
Answer:
B
left side results in 42 and right side results in 42
On a Venn diagram, shade the region:
1. AnB
2. (BnC)nA
Answers
Answer:
hope it will be helpful to you
Step-by-step explanation:
anb shade and anbnc shade
which country won
the last world cup
Answers
Answer:
The country is France.
The correct answer is France
If f(x) = [tex]\frac{1}{9}[/tex] x-2, what is [tex]F^{-1}[/tex](x)
Answers
Answer:
Solution given:
f(x) = [tex]\frac{1}{9}[/tex] x-2
let f(x)=y
y = [tex]\frac{1}{9}[/tex] x-2
interchanging role of x and y
x= [tex]\frac{1}{9}[/tex] y-2
x+2= [tex]\frac{1}{9}[/tex] y
y=9(x+2)
y=9x+18
So
F-¹(x)=9x+18
and
F-¹(-1)=9*-1+18=-9+18=9
