Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?
f(x): {yly >____}
g(x): {yly >____}

Answers

Answer 1

Answer:

0

6

Step-by-step explanation:

<3

Answer 2

The ranges are:

f(x): {y | y ≤ infinity}

g(x): {y | y ≤ infinity}

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.

Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.

Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.

The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:

f(x): {y | y ≤ infinity}

For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.

The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.

Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:

g(x): {y | y ≤ infinity}

To learn more about the function;

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Related Questions

In the rectangle, find the length of AD.

Answers

Answer:

required answer is 9 of your question

Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!

Answers

Answer:

$1608.48

Step-by-step explanation:

A = P(1 + r/n)^nt

P: 1100   3: 3.8% / year     n: 365/year   t: 10 years

A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48

Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)?

Answers

Answer:

y=-6

Step-by-step explanation:

the line needs to be vertical to be parallel to y=2, and pass through (-1,-6)

an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park​

Answers

Answer:

457

Step-by-step explanation:

value of 1556

explanion

Solve the inequality -2/9b>-12

Answers

Answer:

1/2

Step-by-step explanation:

what does 72 x ? = 300

Answers

Answer: 25/6

Step-by-step explanation:

Answer:

? = 4.1667

Step-by-step explanation:

300/72 = 4.1667

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS

Answers

Step-by-step explanation:

Since area of Square A = 7 ft²,

Side length of Square A = √7 ft.

Length of Rectangle B = √7 ft

Width of Rectangle B = 4/√7 ft

Hence Area of Square C

= (4)² / (√7)² ft² = 16/7 ft².

The area of Square C is the square of the height of the Rectangle B.

Correct responses:

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex]

[tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]

Methods used for finding the area of Square C

The given area of square A = 7 ft.²

The given area of rectangle, B = 4 ft.²

Let s represent the side length of square C and let S represent the side length of square A, we have;

Area of rectangle B = S × s = S·s

Area of square A = S × S = S²

Area of square C = s × s = s²

[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]

Therefore, the expression for the area of Square C in terms of the area

of Square A and Rectangle B is presented as follows;

[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]

Which gives;

[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]

By simplification, we have;

[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]

[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]

Learn more about squares and rectangles here:

https://brainly.com/question/2288475

https://brainly.com/question/14044544

https://brainly.com/question/8428727

I need help please!!!!

Answers

Answer:

A) intersecting, 1 solution

B) Same Line, infinite number of solutions.

jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?

Answers

The total cost would be $100

Answer:

$100

Step-by-step explanation:

since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100

Plss answer
i will give brainliest

Answers

Answer:

sorry im doing a challenge but i will have someone answer it    

Step-by-step explanation:

Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain

Answers

f(4-x)=12
Domain:(-oo,oo) these are infinity symbols by the way.

Please help!! Find the length of the radius of circle O.

Answers

Answer:  4.5 units

Step-by-step explanation:

OD and OC are both radii of the circle O.  All radii of the same circle are equal.  Thus,

[tex]6x+2=10x-16[/tex]

18=4x

x=4.5

Hope it helps :)

Eidoskaijsizjzkxkxdkjajjsjeksjsii

Answers

Answer:

Yes, Yes, No, Yes

Step-by-step explanation:

Noah was assigned to make 64 cookies for the bake sale. He made 25% MORE than that. How many cookies did Noah make? Explain how you got your answer.



PLEASE HELP MEH! WILL MARK BRAINLIEST!! DUE TODAY

Answers

Answer:

8 cookies were left after the bake sale. 72 were sold.

Step-by-step explanation:

64*1.25= 80

80*.9= 72

8

125% of 64 is equal to 80.

90% of 80 is equal to 72.

The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was 8

 10% × 125% × 64 = 0.125 × 64 = 8

thats all i could really come up with at the top of my head

Which graph represents the solution to the system of inequalities?




{y<−4x+1
{y≥−14x

Answers

Answer:

1st graph on line 2

Step-by-step explanation:

Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?

Answers

It would be 11 pounds 6 ounces

Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68

Answers

Answer:

C.16, 32, 38, 39, 41, 42, 58

and

E.18, 30, 34, 38, 43, 45, 68

its C. & E.

they both have outliers lol

5(-6 + 4)=..................​

Answers

Answer:

-10

Step-by-step explanation:

5(-6 + 4)

=-30+20

=-10

Answer:

-10 or just 10 in general

Step-by-step explanation:

Shelley is visiting from London and uses her ATM card to withdraw $200 at local bank B. If local bank B charges $4 for ATM fees per foreign transaction plus 3% of the withdrawal, how much would she own in fees for what transaction? Round to the nearest dollar amount, such as: $6


$5

$4

$10

$7

Answers

Answer:

Transaction Fee =  $10

Step-by-step explanation:

Transaction fee = $4 for ATM fees per foreign transaction + 3% of the withdrawal

Withdrawal = $200

3% of the withdrawal = 3/100    *   $200 = $6

Transaction Fee =  $4  +  $6 =  $10

An integer can be positive, negative, or _____. opposite zero equivalent

Answers

Answer:

Zero is nor a positive or negative number, so im guessing the answer is 0.

Step-by-step explanation:

PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND

Answers

Answer:

hate to break it to ya but their is no question-

Step-by-step explanation:

A what you need help with

Step-by-step explanation:

Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11(4-1)

Step-by-step explanation:

11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms

44/11=4

11/11=4

Therefore the answer is 11(4-1)

6 times 7 is 42 6 times 5 is 30 if that's any help please help me out.

Answers

6 * 5 = 30

42 - 30 = 12

? * 2 = 12

? = 6

I need help ASAP!!!,

Which of the following would be a possible solution to the system of inequalities given below?

Answers

Answer:

b

Step-by-step explanation:

i just took the quiz plz mark brainliest

What is the solution to −6x−4≥−2(x−4) ?

x≤−3

x≥3

x≥2

x≤−1

Answers

Answer:

The correct answer is: Option 1: x≤-3

Step-by-step explanation:

Given inequality is:

[tex]-6x-4\geq -2(x-4)[/tex]

First of all, we will distribute -2 into the bracket

[tex]-6x-4\geq -2x+8[/tex]

Then we will add 4 on both sides

[tex]-6x-4+4\geq -2x+8+4\\-6x \geq -2x+12[/tex]

Adding 2x on both sides

[tex]-6x+2x\geq -2x+12+2x\\-4x\geq 12[/tex]

Dividing both sides by 4

[tex]\frac{-4x}{4} \geq \frac{12}{4}\\-x \geq 3[/tex]

As there should be only x on the left side of the inequality we will multiply the inequality with -1.

Multiplying the inequality with -1 reverses the sign of inequality

So,

[tex]x \leq -3[/tex]

Hence,

The correct answer is: Option 1: x≤-3

You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?

Answers

Answer: 52

Step-by-step explanation: Friend me and yes that is right!


Find the degree of the monomial.
9b6c5
The degree of the monomial is

Answers

Answer:

6

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

9b⁶c⁵

Step 2 Identify

Our largest degree is the variable raised to the highest exponent.

b⁶ > c⁵

Therefore our degree is 6.

Find the value of (x) in the triangle shown below.

Answers

the right side will also be 62° so 62+62 is 124

180-124= 56°

x=56°

illustrates whather the two ratios are equal or not using cross 3/27, 1/9​

Answers

Answer:

They are equal

Step-by-step explanation:

Given

[tex]\frac{3}{27}\ and\ \frac{1}{9}[/tex]

Required

Determine if they are equal

We start by equating both:

[tex]\frac{3}{27} = \frac{1}{9}[/tex]

Cross Multiply

[tex]3 * 9 = 1 * 27[/tex]

[tex]27 = 27[/tex]

Because both sides of the equation are equal, then the ratios are equal

Kelli has $33 in her checking account. She then writes a check for $42. What is the balance of Kelli's bank account?

Answers

Answer:

-9

Step-by-step explanation:

42-33= 9

But she is writing a check for $42 and only has $33 so that will send her into negatives.

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