A function is defined as y = 2x + 4 with the domain of all real numbers greater than or equal to 4. What is the range of the function?

Answers

Answer 1

Answer: y => 12

y is greater than or equal to 12

Step-by-step explanation:

So they give you the function of y = 2x + 4 and the domain of all real numbers is greater than or equal to 4.

In simple term, the domain is x => 4, x is greater than or equal to 4.

Using that we can substitute the x in the function by 4.

y = 2(4) + 4

y = 8 + 4

Which gave us the answer of 12.

Since the domain can be anything greater than 4 or 4. We can expect the

same for the range.

Then the range will be 12 or greater than 12. For example, 13, 14, 15, 16...

Ex. y = 2(5) + 4

y = 10 + 4

y = 14

Ex. y = 2(4.5) + 4

y = 9 + 4

y = 13


Related Questions

The average time a human being can hold their breath underwater is 1 minute. A hippo can hold its breath underwater for at least 5 times as long as a human. Write an inequality that represents how long a hippo can hold its breath underwater.

Answers

Answer:

Average breath hold time by hippo under water ≥ 5 minutes

Step-by-step explanation:

Average time by human = 1 minute

Average time by hippo = ≥ 5 times human

Since average human breath hold time = 1 minute

Average breath hold time by hippo = 5 * 1 minute

Average breath hold time by hippo under water ≥ 5 minutes

Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation

Answers

Answer:

$360

Step-by-step explanation:

Let the amount that she earned on the paycheck be represented by x

Hence,

15% of x = $54

Therefore:

15/100 × x = $54

15x/100 = $54

Cross Multiply

15x = $54 × 100

15x = $5400

x = $5400/15

x = $360

Therefore, the amount that she earned on that paycheck = $360

On a timer please help

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

Answers

Answer: a

Step-by-step explanation: edge 2020

Evaluate the expression 3r^2 if r = 1/6.

Answers

Answer:

0.08333

Step-by-step explanation:

3(1/6)^2

1/6=0.1666

1/6^2=0.02777

3*0.02777=0.08333

Answer:

1/12

Step-by-step explanation:

This is the answer because:

1) 1/6^2 = 1/36

2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12

Therefore, the answer is 1/12.

Hope this helps! :D

Circle theorems help please

Answers

Answer:

maybe 15 is the answer so

Answer:

x = 75°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc.

The angle at the centre is

360° - (285 - x)

= 360 - 285 + x

= 75 + x

Thus

x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction

2x = 75 + x ( subtract x from both sides )

x = 75°

Write the simplest polynomial function for each set of zeros

Zeros = -2, 5, -1

Answers

Answer:

The polynomial is ;

x^3 -2x^2 -13x - 10

Step-by-step explanation:

Given the zeros, we set them to equal zero so as to get the linear factors

Mathematically, that will be as follows;

x = -2

x + 2

x = 5

x-5

x = -1

x + 1

So we have the polynomial as;

(x + 1)(x + 2)(x-5)

= (x -5)(x^2 + 3x + 2)

= x^3+ 3x^2 + 2x -5x^2 -15x - 10

= x^3 -2x^2 -13x - 10

Write the expression as an algebraic expression of x that does not involve trigonometric functions:

[tex] csc({cos}^{ - 1} x)[/tex]

Answers

Answer:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Step-by-step explanation:

Please refer to the attachment.

We have:

[tex]\csc(\cos^{-1}(x))[/tex]

First, we will let:

[tex]\cos^{-1}(x)=\theta[/tex]

Then:

[tex]x=\cos(\theta)[/tex]

So, the adjacent side of our triangle is x and the hypotenuse is 1.

Then by the Pythagorean Theorem, the opposite side is given by:

[tex]x^2+o^2=1^2[/tex]

So:

[tex]o=\sqrt{1-x^2}[/tex]

Going back, we have:

[tex]\csc(\cos^{-1}(x))[/tex]

Since arccos(x) is θ:

[tex]=\csc(\theta)[/tex]

Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:

[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]

Hence:

[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]

Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?

Answers

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

To anyone who sees this: you're beautiful, you're loved, you're strong, you're appreciated, and you're amazing.
I am happy that you're here today:) hope you have a great day today, stay safe as well:))​

Answers

Answer:

Awwww

Step-by-step explanation:

Thank you! I hope you know that as well :). I really needed that today so thank you

[tex]3x+42=75[/tex]

Have a happy holiday!

Answers

Answer: X=11

thank you!!! happy holidays!! :}

Answer:  x=11

Step-by-step explanation:  3x+42=75

Step 1: Subtract 42 from both sides.

3x+42−42=75−42

3x=33

Step 2: Divide both sides by 3.

3x

3

=

33

3

x=11

Select all that apply.
Which rates are equivalent to 25 miles per gallon?
50 miles
1.5 gallons
100 miles
.8 gallons
50 miles
gallons
75 miles
3 gallons

Answers

Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?

A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters

Answers

Answer:

The correct answer is;

A(n) = 12 + (n-1)11; 166 millimeters

Step-by-step explanation:

Here, we want to write a rule representing the growth

From the question, we can see that the rate of growth is ;

34-23 = 23-12 = 11

This means it grows at a rate of 11 mm per day

So on the 15th day, its height will be;

We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference

The nth term An can be represented as;

An = a + (n-1)d

where a = 12 mm , n = 15 and d = 11 mm

Thus, we have

An = 12 + (15-1)11

An = 12 + 154

An = 166 mm

There are 40 GT students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each GT student be able to spend on lunch?

Answers

Step-by-step explanation:

There are 40 DuBois students going on a field trip.

Each one pays their teacher $8.75 to cover admission to the museum and lunch.

Admission for the students is $120 and each one gets an equal amount to spend on lunch.

To Find :

How much will each DuBois student be able to spend on lunch.

Solution :

Amount they paid for admission :

\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3

Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .

Hence, this is the required solution.

Answer:

Each GT student gets $3 for lunch

Step-by-step explanation:

40 GT student gave teacher $8.75 so you multiply 40 by 8.75= $350.00

To find how much they need to spend for lunch you divide $120 by 40 student because they paid for it. And you get $3!


I hope this helps!

A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
bags. Which type of grape is most expensive?
A Green grapes
B) Red grapes
They are both the same price

Answers

Answer:

Green grapes are less expensive.

Step-by-step explanation:

5.08/2 = 2.54

Multiply that by 5

You get $12.70 for 5 bags.

Help me please!!!!!!

Answers

Answer:

1. Equatoin = y = 2/9x + 1   Slope = 2/9   Y- interpects= 1

 2.Equatoin =  y= 7/5x - 7  Slope = 7/5   Y- interpects= 7

Step-by-step explanation:

ASAP!! WILL MARK BRAINLIEST!!
Is it a right triangle ??

Answers

Answer: Not a right triangle

Explanation

We can use Pythagorean’s theorem to know if it’s a right triangle or not.

find the aspect ratio width/length of a ping-pong table which is 108 inches long and 5 feet wide. If child's
ping-pong table has the same aspect ratio and it has a width of 3 feet, how long is the table in inches.

Answers

When it comes to what is the size of a ping pong table, the official ones are 2.74 m long and 1.525 m wide, with a height of 76 cm, according to ITTF (International Table Tennis Federation). The height of such a table must be 76 cm above the floor, and the surface must be flat.

what is the solution to the system of equations graphed below

Answers

Answer:

A. (-2, 1)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.

Answer is:

A.

(-2, 1)

A train covered first 120 km at a speed of 20 km an hour and then covered

the remaining 180 km at a speed of 45 km an hour. Find its average speed.​
stap by step explanation

Answers

Answer:

Ans 30 km per hour............

Bob has 8 more dimes than quarters if he has a total of $4 .30, how many of each coin dies he have?

Answers

The answer is $5.10

what answer is it GIVING BRAINLIEST

Answers

The answer is D! The and in the problem suggests addition!

Answer:

A

Step-by-step explanation:

The product mean multiplication

A field has an area of 64400m^{2} .
Calculate the area of the field. On the map in cm^{2} .

​PLEASE HELP ME TO SOLVES IT SOON!

Answers

Answer:

[tex]644,000,000\ cm^2[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]

[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]

. The table below shows a relationship between x and y. x y -2 -5 0 1 2 7 4 13 Which of the following equations best represents this relationship? y = 3x + 1 y = 3x - 1 y = -2x - 5 y = x + 1

Answers

Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

I need The rate of change

Answers

Answer:

m=4

Step-by-step explanation:

To find the average rate of change, you have to calculate the change in y over x which gives you 4

the area of this figure is?

Answers

Answer:

i think its 81

Step-by-step explanation:

Answer:

106 sq meters

Step-by-step explanation:

Break the figure down. I have attached an image as you can see see below.

The figure consists of three rectangles

So Area of rectangle 1 is = 4 x 7 = 28 sq meters

So Area of rectangle 2 is = 10 x 5 = 50 sq meters

So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles

So area of the whole figure is =  Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Area of whole figure is = 28 + 50 + 28

Area of whole figure is = 106 sq meters.

Which situation represents a proportional relationship?

Answers

Answer:

So a proportional relationship is one in which there is a . For example if you know that somebody makes $10 per hour per every one hour. This is a proportional relationship and we can use an equation to represent this.

4/7 + 1/5 =

Show full steps
Topic: Adding fractions

Answers

Answer:

27/35

write all numerators above the LCD 35

20 + 7 over 35

add the numerators

The answer is in the two images below and one of them shows step-by-step on how to solve it.

Hope this helps my friend! :)

In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left

Answers

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.

[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]

by not including itself, an appearing on the left side. one number can be written 25ways

1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)

Answers

Answer:

The equivalent expression is cosec2x

option B

Step-by-step explanation:

The correct question is ;

which expression is equivalent to sec2xcot2x?

Solution

Mathematically;

sec2x = 1/cos2x

cot2x = 1/tan2x

so we have

1/cos2x * 1/tan2x

recall that the product of tan and cos is sin

from the formula;

tan = sin/cos

so we have our final answer as;

1/sin2x

Kindly recall that ;

sin = 1/cosec

so therefore;

1/sin2x = csc2x

What is the approximate area of rectangle ABCD?

Answers

Answer:

I think it's 158

Step-by-step explanation:

Answer:

158

Step-by-step explanation:

The formula for the area of a rectangle is A = bh.

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