Answer:g(x) = (x+3)/(x2-4)
The domain refers to all of the x values that the function can take on. In a rational expression like the one above, we have to be careful that the denominator is never 0, since division by 0 is undefined. We can factor the denominator of g(x) as follows:
g(x) = (x+3)/((x+2)(x-2)
The denominator will be zero when x = 2 or -2. Otherwise, g(x) is defined on all other values of x. So the domain of g(x) is "x = all x not equal to -2 or 2". In interval notation, the domain is:
(-∞,-2)U(-2,2)U(2,+∞)
On a number line, draw it as follows:
-∞ <======o=====o=======> +∞
-2 2
Step-by-step explanation:
Can someone help me thank you I have to show my work for these problems
Answer:
4. perimeter = 232cm
area = 1600cm²
5. perimeter = 30m
width = 8m
Step-by-step explanation:
Perimeter is the sum of the all the sides of a figure.
Area is given as length times breadth
message me for the rest of the answers and explanation
what is the solution to the system of equations?
Find the unit rate for this situation: type 145 words in 5 minutes
Answer:
29 words per minute
Step-by-step explanation:
[tex] \frac{145}{5} = 29 \\ \frac{29}{1} = 29[/tex]
Answer:
29 words per minute
Step-by-step explanation:
145/5 = 29 words per minute
Hope that helps!
3
5
7
9
у
6
12
18
24
Step-by-step explanation:
3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11
I need to find what x
Answer:
Step-by-step explanation:
Add the 21 then divide by 2
Answer:
x = 16, x = -7
Step-by-step explanation:
The question is;
35 * 4 = ( x - 7 ) ( x - 3 )
Combine like terms on one side;
140 = ( x - 7 ) ( x - 3 )
Distribute, remember to multiply every term with one another;
140 = [tex]x^{2}[/tex] - 3x - 7x + 21
Combine like terms;
140 = [tex]x^{2}[/tex] - 10x + 21
Inverse operations;
140 = [tex]x^{2}[/tex] - 10x + 21
-21 -21
119 = [tex]x^{2}[/tex] - 10x
Factor;
119 = x ( x - 10 )
At this point it is fairly obvious that;
x = 16, x = -7
Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain
Plzzzzz help need fast if cannn plzzz
Answer:
D) 2.1
Step-by-step explanation:
HOPE IT HELPS YOU
YOU CAN MARK ME AS BRAINIEST IF YOU WANT
Answer: 2.1 I think please don’t be mad if I’m wrong
Step-by-step explanation:
Pleasee helpppp
If you are using indirect measurement, what is true?
A.You must convert dimensions to the same unit of measurement.
B.You do not have to convert dimensions to the same unit of measurement.
Answer:
The anwser is B forsho
Step-by-step explanation:
'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.
write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3
Answer:
y-1=-3(x+2)
Step-by-step explanation:
the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?
A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches
GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!
Answer:
Between 5 and 5 1/2 inches
Step-by-step explanation:
Solve the simultaneous equations
3
2x - y = 7
xy = 15
Answer:
(5, 3 ) and (- [tex]\frac{3}{2}[/tex], - 10 )
Step-by-step explanation:
Given the 2 equations
2x - y = 7 → (1)
xy = 15 → (2)
Rearrange (1) expressing y in terms of x , that is
y = 2x - 7 → (3)
Substitute y = 2x - 7 into (2)
x(2x - 7) = 15
2x² - 7x = 15 ( subtract 15 from both sides )
2x² - 7x - 15 = 0 ← in standard form
(x - 5)(2x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
Substitute these values into (3) for corresponding values of y
x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )
x = - [tex]\frac{3}{2}[/tex] : y = 2(- [tex]\frac{3}{2}[/tex] ) - 7 = - 3 - 7 = - 10 ⇒ (- [tex]\frac{3}{2}[/tex], - 10 )
What is the area of the trapezoid below? 7in 4 in 5 in 12 in
Answer:
1680 inches
Step-by-step explanation:
All you have to do is to multiply the numbers together.
7 × 4 = 28 in
5 × 12 = 60 in
60 × 28 = 1680
Therefor, the answer is 1680.
find the 7th term of 4,5,6.25
Answer:
same i dont know just need points but good luck
What is the value of x? 5 + 1/5x = 5
Answer:
x = 0
Step-by-step explanation:
5 + 1/5x = 5
Subtract 5 from both sides.
1/5x = 0
Divide both sides by 1/5
x = 0
I hope this helps!
A bottle contains 500 ml of orange juice. Write an expression for EACH of the following.
The amount of juice left in the bottle after pouring out
(i) p ml.
(ii) q glasses each containing r ml
Answer:
1. 500-p
2. qr=500
(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]
Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex] [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]
An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.
Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]
(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]
(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]
So,
Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]
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https://brainly.com/question/11227332?referrer=searchResults
Write an equivalent expression by factoring for 6a + 15
i am finding the volume of a shape, the area is 20mm and the length is 5cm what is the answer?
Answer:
Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.
Different Ways to Find Volume
Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...
Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...
Solve for Volume by Displacement.
Step-by-step explanation:
PLZ HELP ME LLZ I WILL DO ANYTHING
Answer:
X=45
Step-by-step explanation:
45+3x=180
180-45=135
135/3=45
x has to be 45
x=45
solve for x
3x + 4 = 13
Answer:
x = 3
Step-by-step explanation:
3x = 13-4
=> 3x = 9
=> x = 3
Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x
A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x
Answer:
A. (7 - √14x) /(7 - 2x)Step-by-step explanation:
Given the fraction:
7 / (7 + √14x)Rationalize the denominator by multiplying (7 - √14x):
7 / (7 + √14x) =7(7 - √14x) / (7 + √14x)(7 - √14x) =7(7 - √14x) /(49 - 14x) =7(7 - √14x) /7(7 - 2x) =(7 - √14x) /(7 - 2x)Matching choice us A
someone pls help it's worth tons of points
Answer:
x = 8 b = -1 m = 3 x = 4
k = 4 m = 5 n = 8 x = -3
p = -7 x = -3 x = 8 v =1 x = 0
Step-by-step explanation:
Using technology, determine the monthly payment on a 35 month loan of $28,000 at 8.1% compounded monthly. Round your answer to the nearest cent.
Please select the best answer from the choices provided
A. $900.90
B. $875.02
C. $1,102.94
D. $1,012.10
Answer: a
Step-by-step explanation:
Took test
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start. Understanding the Competition 1. Explore the three competitors in your area to learn more about the services they offer and how they reach their customers. Fill in the table below to help you compare their businesses. (12 points: 1 point for each table cell)
Outward HoundA1-Pet Services Debbie's Daily Dog Walks What services does the business offer? What do you know about the type of business and its staff? Who are the target customers? How much does the business charge?2. Now that you know a bit about the competition, it's time to get more specific about your business offering. (6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you would like to offer. Do any of these services require you to buy special items? If so, what would you need to buy? Describe the type of customer you believe your business will appeal to and explain why. If you had to guess now, how much do you think you should charge for a 30-minute dog walk? Calculating Your Business Costs 3. Use the table below to summarize your monthly business costs. Record each option you choose in the "Options selected" column. (9 points: 1 point for each completed table cell)
Cost type Total cost per month Options selected Advertising Goods Transportation Licensing TOTAL 4. Explain the choices you made that determined your business costs in each cost category. (4 points: 1 point for each explanation) In your explanation, be sure to describe: ❑ Your advertising choices ❑ The goods you will purchase ❑ Your transportation needs
❑ Whether you chose bonding ❑ The reasons for your choices Advertising: Goods: Transportation: Bonding:
loading...
With every price decrease of $1, Caleb (gained/lost) ___________ customers. 6. Write a profit equation for Caleb's business. Profit = Price • Number of customers – Cost To write the profit equation, use the following assumptions: ❏ Express price and number of customers in terms of the same variable, x. ❏ Let x = the change in price from the price that gave Caleb the greatest revenue. Use the information in the table to answer these questions. (9 points: 1 point per blank) a. At what price did Caleb make the most revenue per month? How many customers did he serve at that price? Price: _________ Number of customers: _________ b. Write an expression for price. Use the price identified in part a. Let x represent the change in Caleb's price from this price. Price = __________ + ____________ c. Write an expression for the number of customers. Use the number of customers identified in part a, and the decrease in number of customers when Caleb increases his price by $1 (from question 5). Number of customers = _________ – __________x d. Write Caleb's profit equation. Use the expressions you identified in parts b and c. Assume Caleb's costs amounted to $200 each month. Profit = Price • Number of customers – Cost Profit = ___________ • ____________ – _________
Maximizing Your Profits You've done a lot of research. Now it's time to try to maximize the profit of your new business. 7. Write and simplify your personalized profit equation. Complete the profit equation, using the price and customer expressions from question 6 and your total cost from question 3. (6 points: 1 point for each element: price, number of customers, and cost; 3 points for writing and simplifying the profit equation) 8. Now find the maximum point on the graph of your profit equation (the vertex). (5 points: 1 point for each box in part a; 2 points for part b) a. b. Substitute x into the profit function to find the maximum profit. Maximum profit: . According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation) 10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value) 11. According to your model, between what two prices should you price your service? Why would you want to keep your price between those limits? (4 points: 2 points for the break-even values, and 2
.
+
1
Answer:
Here is the answer. :)
Please do mark me brainlist.
Answer:
3.7.2 Project: Your Dog-Walking Business Project
Algebra I Sem 2 (S4982522) Ahmad Anwar
Points possible: 80 Date: 3/27/19
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own
neighborhood. Caleb has had his business for more than a year and has experimented with different
prices for his services. He is willing to share what he has learned with you as you begin to plan your
business.
The Project: Use the information provided in the Performance Task to learn more about your
competition and the costs of your business. See what you can discover by looking at Caleb's
sales records to help you decide how to set up and price your own dog-walking services.
Use the questions below to help you gather information and get your new business off to a
profitable start.
Understanding the Competition
1. Explore the three competitors in your area to learn more about the services they offer and how
they reach their customers. Fill in the table below to help you compare their businesses.
(12 points: 1 point for each table cell)
Outward Hound A1-Pet Services Debbie’s Daily Dog Walks
What
services
does the
business
offer?
Their unique services focus
on off-leash dog park play,
nature trails and wilderness
hikes, and social play with
other dogs
Their services include private
walks, distribution of food,
water, and medications,
stop-in pet sitting,
mail-pickup, and plant
watering
Her services include daily
leash-walks and playtime
supervision, distribution of
food and fresh water, mail
and newspaper pickup, and
turning house lights on and
off
What do you
know about
the type of
business
and its
staff?
Outward Hound is a small
business staffed by dog
lovers with extensive
training in animal behavior
and nutrition.
A1-Pet Services is a
nation-wide franchised
pet-service company. They
specialize in caring for pets
when their owners are away
from home.
Debbie's Daily Dog Walks is
a one person business. Her
services are available for a
day or an extended period of
time.
Who are the
target
consumers?
Outward Hound's
customers pay a premium
for their staff's expertise and
innovative services. They
are licensed, bonded, and
insured.
Their customers have pets
that need a strict schedule,
and the reliability of this
service is most important.
Her customers are
cost-conscious and
appreciate the low cost of her
services.
How much
does the
business
charge?
They charge per day at a
rate equivalent to $35 per
30 minutes.
Their rates are considered
average at $20 per 30
minutes.
She charges $12 per 30
minutes.
2. Now that you know a bit about the competition, it’s time to get more specific about your business
offering.
(6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you
would like to offer.
The services I would like to offer are daily leash-walks and playtime supervision,
distribution of food and fresh water.
Do any of these
services require you to
buy special items? If so,
what would you need to
buy?
I need to buy leashes and leads, fetching toys, treats, cleanup bags.
Describe the type of
customer you believe
your business will
appeal to and explain
why.
The type of customer I believe my business appeals to is a casual person who
needs their dog watched by.
If you had to guess
now, how much do you
think you should charge
for a 30-minute walk?
I think I should charge around $20 for a 30-minute walk.
Calculating Your Business Costs
3. Use the table below to summarize your monthly business costs. Record each option you choose in
the “Options selected” column.
(9 points: 1 point for each completed table cell)
Cost-Type Total Cost per Month Options Selected
Advertising $12 Color flyers
Business website
Business cards
Social media advertising
Goods $37 Leashes and leads
Fetching toys
Treats
Cleanup bags
Transportation $75 Walking
Bicycle Maintenance
Bus/metro pass
Gas for vehicle
Licensing $160.75 Insurance
Business registration
Bonding
Total $284.75
4. Explain the choices you made that determined your business costs in each cost category.
(4 points: 1 point for each explanation)
In your explanation, be sure to describe:
❑ Your advertising choices
❑ The goods you will purchase
❑ Your transportation needs
❑ Whether you chose bonding
❑ The reasons for your choices
Advertising:
Goods:
Transportation:
Bondin
Step-by-step explanation:
please mark me brainliest!!
Zenaida shares 1/5 bag of cookies equally among herself and 2 her friends. What fraction of the cookie bag will each girl receive?
Answer:
1/15
Step-by-step explanation:
1/5 divided by 3
=1/5 times 1/3
= 1 × 1
-------
5 × 3
= 1/15
Answer:
The answer is 1/10
Step-by-step explanation:
1/5 divided by 2
1/5 times 1/2
1 x 1 = 1
5 x 2 = 10
1/10
given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?
its line a
Step-by-step explanation:
One number exceeds another by 5. The sum of the numbers is 89. What are the numbers ?
Answer:
42
Step-by-step explanation:
89-5=84
84÷2=42
and reverse it to check
(42+5)+(42)=89
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!
Answer: -5 Hope this helps :)
Step-by-step explanation:
Brainlist Plz?
The main mast of s sailboat is supported by a rope that extends from the top of the mast to the deck. If the mast is 23 feet tall and the rope attaches to the deck 15 feet away from the base of the mast, how long is the rope?
Answer:
27.46
Step-by-step explanation:
Ron purchases $32,000 worth of stock on his brokers advice and pays his broker a 1.25% broker fee. How much did he pay his broker! Show work please !!
Julie earns $9 each week as an allowance. If she spends $5 each week for lunch money and saves the rest, which expression shows how much money she will save in x weeks?
Answer:
(x)4
Step-by-step explanation:
(x) is the amount of weeks and 4 is the amount of money that is saved every week.
(3a - 1/2) (3a - 1/2)
Answer: The answer is 9a^2 - 3a + 1/4
Step-by-step explanation:
Hope this helpfull.
But Im so sorry if this not helpfully
