Mathematics College

Find the domain D and range R of the function f(x)=|9+2x|. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol [infinity] for infinity and the appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)

Answers

Answer 1

Answer:

Domain of the function 'f' → [tex](-\infty,\infty)[/tex]

Range of the function 'f' → [tex][0,\infty)[/tex]

Step-by-step explanation:

Parent function of an absolute function is,

g(x) = |x|

Domain of the parent function → [tex](-\infty,\infty)[/tex]

Range of the parent function → [tex][0,\infty)[/tex]

If the function 'g' is vertically stretched by a factor of 2, the new function will be,

h(x) = |2x|

Function 'g' is translated by 9 units to the left, then the new function will be,

f(x) = |2x + 9|

By shifting the parent function on x-axis domain of the function will remain same as of the parent function.

Domain of the function 'f' → [tex](-\infty,\infty)[/tex]

Since, there is no shifting along the y-axis therefore, Range of the function will remain the same as the parent.

Range of the function 'f' → [tex][0,\infty)[/tex]

Find The Domain D And Range R Of The Function F(x)=|9+2x|. (Use Symbolic Notation And Fractions Where

Related Questions

Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover

Answers

Answer:

z (max) = 6.15

x₁ = 1 x₂ = 3 x₃ = 6

Amount of beef leftover 2 lb

Amount of onions leftover 0

Amount of Special Sauce leftover 61

Amount of Hot Sauce leftover 9

Step-by-step explanation:

Ingredients Beef Onions Special S Hot S Profit

Wimpy (x₁) 1 2 5 0 0.6

Dial 911 (x₂) 1 2 2 5 0.55

Fire Bowl (x₃) 1.5 2 3 6 0.65

Available 15 20 90 60

Objective Function z:

z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize

Subject to:

1) Quantity of beef : 15

x₁ + x₂ + 1.5*x₃ ≤ 15

2) Quantity of onions: 20

2*x₁ + 2*x₂ + 2*x₃ ≤ 20

3) Quantity of Special sauce: 90

5*x₁ + 2*x₂ + 3*x₃ ≤ 90

4) Quantity of hot sauce: 60

0*x₁ + 5*x₂ + 6*x₃ ≤ 60

5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.

x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃

x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0

- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0

6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.

x₃ - x₂ ≤ 3

7)the available number of servings for Dial 911 must be at least 2.

x₂ ≥ 2

General constraints:

x₁ ≥ 0 x₃ ≥ 0 all integers

With on-line solver solution is:

z (max) = 6.15

x₁ = 1 x₂ = 3 x₃ = 6

By sbstitution on the constraints

1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13

Amount of beef leftover 2 lb

2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20

Amount of onions leftover 0

3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29

Amount of Special Sauce leftover 61

4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51

Amount of Hot Sauce leftover 9

Asher solved the equation below:

4x = 64
4x − 4 = 64 − 4
x = 60

Is Asher's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (5 points)

Answers

No, he is incorrect because he should’ve divided 4 from both sides, rather than subtracting it. If he would’ve solved it correctly, he would have gotten x=16

Plz help me well mark brainliest if correct!!...

Answers

Answer:

You should stick with option D

Using the picture, find the measure of arc GR. (GK is the diameter)

Answers

Answer:

48°

Step-by-step explanation:

Given that GK is the diameter of the circle ;

Then GK which is the half of the circle is 360/2 = 180 (Angle at a Point = 360°)

Diameter =half of the entire circle = 360 /2 = 180

GK = 180°

GK =GR + KR = 180

KR = 132°

180 = GR + 132

GR = 180 - 132

GR = 48°

Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?

Answers

Answer:

He would need to visit a minimum of 12 times

Step-by-step explanation:

Tessellations

Determine whether the given figure tessellates the plane.

a. yes
b. no

Please select the best answer from the choices provided

Answers

Answer:

A. Yes

Step-by-step explanation:

I calculated it logically

Yes the given figure with rectangle tessellates the plane.

A rectangle cannot tessellate a plane by itself because it is not a regular polygon with equal angles and sides.

A rectangle can only tessellate the plane if it is combined with other shapes, such as squares or triangles, to form a regular tessellation.

Yes, the given figure tessellates the plane.

Hence, Yes the given figure tessellates the plane.

To learn more on Rectangles click:

https://brainly.com/question/20693059

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Item 1
Use the figure to find the measures of the numbered angles.

Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.

Answers

9514 1404 393

Answer:

∠1 = ∠3 = ∠5 = ∠7 = 81°

∠2 = ∠4 = ∠6 = 99°

Step-by-step explanation:

Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...

∠1 = 180° -99° = 81°

Then we have ...

∠1 = ∠3 = ∠5 = ∠7 = 81°

∠2 = ∠4 = ∠6 = 99°

the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours

Answers

Answer:

Step-by-step explanation:

Julie's recipe for lemonade made 2 quarts. What did she need to
multiply each ingredient by to make 8 gallons?

Answers

Answer:

She needs 16 recipe to make 8 gallons

2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer

Answers

Answer:

9x + 5y

Step-by-step explanation:

Here, in 2x + 5y+ 7x, the 'like terms' are 2x and 7x, and the sum of these terms is 9x. Thus, 2x + 5y+ 7x becomes 9x + 5y.

Last year the depth of the river was 4.2 feet deep.

This year it dropped 5%.

Find the depth of the river this year to cross it.

Answers

Answer:

3.15 ツ

Step-by-step explanation:

please help me thank you

Answers

Answer:

7.2 yds²

Step-by-step explanation:

6 × 1.2

7.2 yds²

(2x+1)(x+6)

A=
B=
C=

Answers

9514 1404 393

Answer:

A = 2B = 13C = 6

Step-by-step explanation:

In expanded form, the quadratic is ...

(2x +1)(x +6) = 2x(x +6) +1(x +6) = 2x² +12x +x +6

= 2x² +13x +6

Comparing this to ...

Ax² +Bx +C

we see that ...

A = 2B = 13C = 6

Answer:

the answer is

a=2

b=13

c=6

Find the slope of the line that passes through the points (-6,-2) and (-7,2)

Answers

Answer:

-4

Step-by-step explanation:

the steps are in the pic above

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS

Answers

Answer: B

Step-by-step explanation: Ez

please help with this question

Answers

7/14
1/2
.5
50%
i’m not sure tho

Answer:

1/2

Step-by-step explanation:

P= 7/14

= 1/2

The probability of Pickup Truck is 1/2

Someone, please help

Answers

Answer:

The answer is 45

Step-by-step explanation:

Answer:

I think 21,200,000,000

Step-by-step explanation:

because if you convert 4% in decimal it would be 0.04 then multiple

0.04 x 530,000,000,00 = 21,200,000,000

Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14

Answers

Answer:

Step-by-step explanation:

There are 36 people camping at Max's family reunion. They are sleeping in tents. If 4 people can sleep in each tent, how many tents are at the campsite?

Answers

9 because 4 times 9 =36

ANSWER ASAP DONT SEND A FILE WHATS THE RULE TRANSFORMATION FOR THIS DILATION ???

Answers

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.

Answers

Answer: 69

Step-by-step explanation: EZ

. If x = -1 and y = -2, what is the value of the expression 2x^2y - 3xy?

Answers

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

just plug in the numbers for each variable.

2(-1)^(2(-2)) - 3(-1)(-2) = 2 - 6 = -4

Keisha had $54 when she went to a bookstore. She
had $12 left after buying some books. Which
equation can be used to find a, the amount Keisha
spent on books?
54 - a = 12
B
a - 54 = 12
a +54 = 12
12 + 54 = a

Answers

54 - a = 12 i believe

It will be a: 54-a=12
This is because she started with 54 and ended with 12. You need to keep a in the middle since that’s the amount you spent to end up at 12. Have a good day :)

please help, will award brainliest

Answers

Answer:

First one

Step-by-step explanation:

Timed plz help meeee

Answers

i believe it's B
step by step

What quadrant does the angle 250 degrees lie in?

Answers

Answer: 3rd quadrant

Step-by-step explanation:

This is a question relating to trigonometry.

First quadrant = Angles between 0∘ and 90∘.

Second quadrant = Angles between 90∘ and 180∘

Third quadrant = Angles between 180∘ and 270∘

Fourth quadrant = Angles between 270∘ and 360∘

Therefore, since 250° is between 180° and 270°, it's in the 3rd quadrant.

One year, the population of a city was 209,000. Several years later it was 244,530. Find the percent increase

Answers

Answer:

17%

Step-by-step explanation:

（244530—209000）/209000*100%=17%

Answer: wait huh

Step-by-step explanation:

1) Simplify the product using the distributive property.
(x-2)(x+4)

Please help me answer this question

Answers

x^2 + 2x -8
Hope this helps :))

Jennifer wants to borrow $ 20, 000 . Her bank offers a 7.1% interest rate. She can afford $500 a month for loan payments. What should be the length of her loan to the nearest tenth of a year

Answers

Answer:

4.2 years

Step-by-step explanation:

20000(.071)t ≤ 500(12)

1420t ≤ 6000

t = 4.2

Her loan is 4.2 years long to the nearest tenth of a year.

How is compound interest determined?To calculate compound interest, multiply the original loan principle by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the loan's principal plus compound interest.Compound interest is one of the most useful financial concepts, which states that the interest you earn each year is added to your principal so that the balance not only grows, but grows at an increasing rate. It serves as the foundation for everything, including a person's personal savings strategy and the long-term growth of the stock market.

Therefore,

20000(.071)t ≤ 500(12)

1420t ≤ 6000

t = 4.2

Hence, Her loan is 4.2 years long to the nearest tenth of a year.

To learn more about compound interest, refer to:

brainly.com/question/12325365

#SPJ2

What is the greatest common factor of 16, 36, and 28?

Answers

It’s gotta be 4 because 8 dosent go into 28 and 6 dosent go into 28

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