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;

brainly.com/question/28303908

#SPJ7


Related Questions

simplify the expression t+2+6t

Answers

Answer:

2+7t

Step-by-step explanation:

combine like terms

t+2+6t

2+7t

-8x+1/4(20x-12)=qx-3

Answers

Answer:q= -3

Step-by-step explanation:

Let's solve for q.

8

x

+

1

4

(

20

x

12

)

=

q

x

3

Step 1: Flip the equation.

q

x

3

=

3

x

3

Step 2: Add 3 to both sides.

q

x

3

+

3

=

3

x

3

+

3

q

x

=

3

x

Step 3: Divide both sides by x.

q

x

x

=

3

x

x

q

=

3

Answer:

PLS HELP!!! due to inflation nominal prices are usually there were to demand increases. After the second increase the price for a certain item was twice as big as the original. By what percent was the first increase, if the second increase was 25%

Answers

Answer:

The first increase was of 60%.

Step-by-step explanation:

The initial value of the product is x.

The first increase was of y.

The second increase is of 25%, that is, 1.25.

The final price was double the original, so 2x.

This situation can be modeled by the following equation:

[tex]xy(1.25) = 2x[/tex]

We want to find y.

Simplifying by x

[tex]1.25y = 2[/tex]

[tex]y = \frac{2}{1.25}[/tex]

[tex]y = 1.6[/tex]

After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.

Please help this is due in tomorrow you dont have to answer all questions

Answers

Answer:

1 is multiplication

2 is division

3 is parentheses

4 is exponents

5 is parentheses

6 is exponents

7 is G.

8 is F.

9 is H.

10 is A.

11 is C.

12 is E.

13 is D.

14 is B.

Step-by-step explanation:

PEMDAS

parentheses

exponents

multiplication

division

addition

subtraction

do it in that order. but multiplication and division are on the same level so whichever comes firsts gets solved first and addition and subtraction are on the same level so whichever that come first gets solved first

A high school club has 10 members who are seniors and 8 members who
are juniors. If a member is randomly selected to be the club president,
what is the probability that the person will NOT be a senior?

Answers

Answer:

The probability that the person will not  be a senior

P(E⁻) = 1 - P(E)

       =  [tex]1- \frac{5}{9} = \frac{4}{9}[/tex]

Step-by-step explanation:

Explanation:-

Given A high school club has 10 members who are seniors and 8 members who  are juniors

n(S) = 10 + 8 = 18

If a member is randomly selected to be the club president

Let 'E' be the event that the person will  be a senior

The probability that the person will  be a senior

      [tex]P(E) = \frac{n(E)}{n(S)}[/tex]

     [tex]P(E) = \frac{n(E)}{n(S)} = \frac{10}{18} = \frac{5}{9}[/tex]

The probability that the person will not  be a senior

P(E⁻) = 1 - P(E)

       =  [tex]1- \frac{5}{9} = \frac{4}{9}[/tex]

     

The sum of -5, -9, and 10 is _______.
A. 14
B. -14
C. 4
D. -4

Answers

Answer:

D. -4

Step-by-step explanation:

-5 + -9 = -14

-14 + 10 = -4

Answer:

the sum of -5, -9, and 10 is -4

Step-by-step explanation:

add all of them together

Aubrey's coach asks her to bring 5 liters of water to practice.
How many 500-milliliter bottles does Aubrey need to buy to have
exactly enough water?
500
A. 1 bottle
b. 5 bottles
c. 10 bottles
d. 15 bottles ​

Answers

Answer:

C

Step-by-step explanation:

This is because a liter is 1000 milliliters, so multiplying the amount of liters to the milliliters you would get 5000, you would then divide that by 500  since a bottle would contain that much, giving you 10 bottles

Helppppppppppp Bobby hill I need help

Answers

Answer:

a and d

Step-by-step explanation:

trust

Please need help ASAP I would really appreciate if you help me

Answers

Answer:

y = 900(1 - .40)^3

y = 194.4 or rounds to $194

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve this equation and show your work step by step using PEMDAS
3y + 6 = 30

Answers

Answer:

3y+6=30

-6  

3y=24

divde by 3

y=8

:)

if h(x)=0 then does h([tex]x^{2}[/tex])= 0
TRUE or FALSE?

Answers

Answer:

true

Step-by-step explanation:

Find the height of an equilateral triangle with side length 8.

Answers

Answer:

4 root 3

Step-by-step explanation:

formula of height equalitral triangle:

side/2 root 3:

side = 8

8/2*root 3

4 root 3

1. A store sold 700 motorcycles last year. This year the store sold 820 motorcycles. What is the percent change in the number of motorcycles sold from las year to this year?​

Answers

Answer:

120 or 120%, hope this helps!

Step-by-step explanation:

11
10
8
7
6
4
2
1
-12-11-10-9-8
6-548-21
1 2 3 4 5 6 7 8 9 10 12
-3
4
-5
6
7
8
- 10
- 12

Answers

Answer: -502

Step-by-step explanation: I think

Answer:-502

Step-by-step explanation:

hope this helps

have a great day!

3.
5y + 3y for y = 2

Answers

Answer:

16

Step-by-step explanation:

You plug in the value of y into the expression:

5(2) + 3(2)

10 + 6 = 16

The answer is 16 because 5(2) + 3(2) = 16

CJ walks 8 miles in 3 hours. at what unit rate does CJ walk? Please only answer is you understand the question

Answers

Answer:

B

Step-by-step explanation:

I had this on my previous test, lol

Solve the inequality -15k>-120

Answers

Answer:

-15k<-120

Step-by-step explanation:

15k isbigger than -120 but less close to 0 as 15k is

Trevor is making 2/3 of a recipe for chicken noodle soup. He adds ½ cup of chopped celery. The equation 2/3 c = 1/2 can be used to find the number of cups c of chopped celery in the original recipe. How many cups of chopped celery does the original recipe call for?

Answers

Answer:

Cups of chopped celery in original recipe = [tex]\frac{3}{4}\ cups[/tex]

Step-by-step explanation:

Given that:

Trevor is making 2/3 of a recipe

Number of cups of chopped celery used = 1/2 cup

The following equation can be used to find the original number of cups of chopped celery used in recipe.

[tex]\frac{2}{3}c=\frac{1}{2}[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{2}{3}c=\frac{1}{2}*\frac{3}{2}\\\\c= \frac{3}{4}\\[/tex]

Hence,

Cups of chopped celery in original recipe = [tex]\frac{3}{4}\ cups[/tex]

Question???
-9 - (-4) =

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Please mark as brainliest if this helped you the most, thanks if you do and have a good day/night!

What the answer? plzzz help be serious

Answers

Answer:

It’s the 3 one

Step-by-step explanation:

281.25ft you are yyyyyyyyyou and lord president lord

7/8 divided by 1/8 pluse 2by the power of 2​

Answers

Answer:

Hey

Step-by-step explanation:

You answered a similar way on my page so im taking revenge :)

getting those points back

Paul had a job during his summer vacation. He earned $8.75 per hour. He worked 20 hours per week for 8 weeks. How much money did Paul earn?​

Answers

Answer:

$40.00

Step-by-step explanation:

Answer:

$1400

Step-by-step explanation:

here is the question and again if you were on the other question and u get it right then i will give brainilst on both

Answers

Answer:

[tex]3x^3-3y-3[/tex]

Step-by-step explanation:

[tex]3-3+x^{3}+6x^{3}-3y-3-4x^{3}=3x^3-3y-3[/tex]

6x+4 divided by 2=8
You don’t have to explain... just answer

Answers

X=2
I’m still gonna explain lol
6(2)=12+4=16/2=8

A 15-pound bag of apples cost $6.30. At that rate, how much would a 29-pound bag of apples cost?

Answers

thats alot of apples. what does a person need with all if those apples?

Answer:

here,

15 pound bag =$6.30

or, 1 pound bag = 6.30/15

or, 1 pound bag = $0.42

or,29 pound bag = 29 X $ 0.42

or, 29 pound bag = $ 12.18

Hence, a 29 pound bag of apple cost $12.18

A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 5 types of drinks to choose from, 6 types of sandwiches, and 3 types of chips. How many different value meal packages are possible

Answers

Answer: 90 different meal packages.

Step-by-step explanation:

Given data:

Types of drinks available = 5

Types of sandwiches available = 6

Types of chips available = 3.

Solution:

No of meal packages possible for this combination

= 6*5*3

= 90

A total of 90 different meal packages would be gotten:

Does this procedure describe a completely randomized design for this experiment?

Answers

Answer:

Yes

Step-by-step explanation:

What is the value of -b/(2a) in the given function below?
h(x)= -4x^2 -8x + 5
A. 2
B. -2
C. -1
D. 1

Answers

identifying the coefficients, we get a= -4 and, b= -8.
then we substitute the coefficients into the expression ➡️ x= -(-8/2x (-4)) and we solve the equation, so C (-1) is the correct answer!!

Write the ordered pairs when rotated 270 clockwise around the origin A (2,-3) B (-4,6) C (-5, -7)

Answers

i guess those are the answers

Two pounds of grapes cost $6. How much does it cost for 5 pounds of grapes

Answers

Answer:

if we take the total cost of the grapes, and divide by the number of pounds of grapes we can conclude that each pound of grapes costs $3. so 5 pounds of grapes multiplied by $3 per pound, gives us $15 for 5 pounds of grapes.

Answer:

$15

Step-by-step explanation:

If 2 pounds of grapes cost $6, then one pound of grapes would be $3, because 6 divided by 2 (because there is two pounds) would equal 3. 5 pounds of grapes would cost $15 because 3+3+3+3+3 (or 5 x 3) is equal to 15.

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