Mathematics High School

what is the range of the function below in set builder notation? y=|x-3|

Answers

Answer 1

Answer:  [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

What Is The Range Of The Function Below In Set Builder Notation? Y=|x-3|

Related Questions

What value of x is in the solution set of 3(x – 4) > 5x + 2?

Choices
-10
-5
5
10

Answers

We have to simplify and get the value of x from this inequality given:

Given inequality,

[tex]3(x - 4) > 5x + 2[/tex]

Now let's simplify by using distributive property,

[tex]3x - 12 > 5x + 2[/tex]

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

[tex]3x - 12 - 5x - 2 > 0[/tex]

[tex] - 2x - 14 > 0[/tex]

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.

[tex] \dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2} [/tex]

[tex]x + 7 < 0[/tex]

Now subtracting -7 from both sides,

[tex]x + 7 - 7 < 0 - 7[/tex]

[tex]x < - 7[/tex]

Or, Interval of the equal [tex](- \infin, -7 ][/tex]

#CarryOnLearning

━━━━━━━━━━━━━━━━━━━━

Answer:

it's A :)

Step-by-step explanation:

can I have brainlest please

Let f(x)=5x-4 and g(x)=x^2-1. Find (g*f)(-1)

Answers

Answer:

D. 80

Step-by-step explanation:

Given:

f(x) = 5x - 4,

g(x) = x² - 1

Required:

(g o f)(-1)

SOLUTION:

(g o f)(-1) = g(f(-1))

Plug in -1 for x into the function, f(x) = 5x - 4:

g(f(-1)) = g(5(-1) - 4)

= g(-5 - 4)

= g(-9)

Plug in -9 for x in the function, g(x) = x² - 1

g(-9) = (-9)² - 1

= 81 - 1

= 80.

Therefore, (g o f)(-1) = g(f(-1)) = 80

D. 80 is the correct answer.

- 32x - 40
What is the first step that I should do

Answers

I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.

[tex] - 32x - 40 = 0[/tex]

[tex] - 32x = 40[/tex]

From there you will divide by -32 and simply the fraction.

[tex]x = - \frac {40}{32} [/tex]

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

I hope this helps, but please let me know if this is not what you're trying to do.

Someone please help.

Answers

i’m pretty sure the answers A

6x^2=21x-9 Need help learning factoring please put work so I can understand

Answers

Hopefully this is enough work for you finding the the best way to get the multiples of the middle x makes it easier so there is not as many trial and errors. These problems are normally trial and error so don’t lose hope if you don’t get it right away

6. Simplify: 15 + 10 - 8-2 +3 - 4 - 1

Answers

Answer:

13

Step-by-step explanation:

15 + 10 = 25

25 - 8 = 17

17 - 2 = 15

15 + 3 = 18

18 - 4 = 14

14 - 1 = 13

Answer:

13

Step-by-step explanation:

its 13

if a+b= -1 then the value of a^3+b^3 - 3ab= ?

Answers

Answer:

-1

Step-by-step explanation:

[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]

Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP

Answers

39 degrees is the answer

Answer:

8 degrees

Step-by-step explanation:

4x+7=6x−9

Step 1: Subtract 6x from both sides.

4x+7−6x=6x−9−6x

−2x+7=−9

Step 2: Subtract 7 from both sides.

−2x+7−7=−9−7

−2x=−16

Step 3: Divide both sides by -2.

-2x/-2 =-16/-2

Equals to X=8

15/2 is (greater than, less than, or equal to) the square root of 55?

Answers

First make 15/2 a mixed number

7 1/2

Or in decimal form its 7.5.

Find the square root of 55

Around 7.4

15/2 is greater

F is between E and G. E, F, and G are collinear. EG = 29x – 3 ; EF = 6x + 12; FG = 13x + 5. Find EG.

Answers

Answer:

EG=55

Step-by-step explanation:

EF+FG=EG

(6x+12)+(13x+5)=29x-3

19x+17=29x-3

20=10x

2=x

29x-3

29(2)-3

58-3

55

Check

(6x+12)+(13x+5)

((6(2)+12))+((13(2)+5))

(12+12)+(26+5)

24+31

55


Mrs. Bryant is making 17
Christmas ornaments. It
takes 30 minutes to make
each ornament. If she
begins at 1430, at what
time will she finish?
(Write in military time)

Answers

The answer is 1940 or 7:40 which is 5 hours earlier than when she started.

To get the answer you multiply 17 by 30 which is 510. Next you add 510 and 1430 which is 1940. To get to regular time and not military time, subtract 12 from 19 and there you go! Hope this helps!!:))))))

Mrs. Owens laid carpet in a rectangular room 12 ft by 15 ft
About how much carpet did she buy?
A 27 sq ft
B. 180 sq ft
C 54 sq ft
D. 45 sq ft
E 160 sq ft

Answers

Answer:

180 sq ft

Step-by-step explanation:

12 x 15 = 180

The total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

Mrs. Owens laid carpet in a rectangular room, 12 ft by 15 ft. Here, the length of the rectangular carpet for the room should be 15 ft and width should be 12 ft.

Thus, the area of the carpet is,

[tex]A=15\times12\\A=180\rm\; ft^2[/tex]

Thus, the total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

#SPJ2

Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)

Answers

Answer:

-14y + 34

Step-by-step explanation:

Step 1: Write out equation

6(5 - 3y) + 4(y + 1)

Step 2: Distribute

30 - 18y + 4y + 4

Step 3: Combine like terms

-14y + 34

Answer:

34-14y

this is simplifed

Step-by-step explanation:

HELPPPPPPPPPPP!!!!!!

Answers

Answer:

2x

Step-by-step explanation:

The width of the outer frame - inner frame

= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x

Can someone help me figure this out please?! Please do step by step 3x - 4y= 65 y=4

Answers

Answer:

21

hope this helped you

please mark as the brainliest (ㆁωㆁ)

g(x)= - 4x - 24 PLEASE HELP

Answers

Answer:

the answer got that would be -4

Storm Center 7 was tracking a cold front approaching Cedarburg. Before it rolled in, the temperature was – 7°F. Then, the temperature decreased by 9°F.

Answers

Answer:

The tempature is now -16 F

Subtract. -7 - -9 = -16.

Hope this helps.

Answer:

-16

Step-by-step explanation:

what is 3/4 times 12

Answers

Answer:

bruh its      9

Step-by-step explanation:

Solve for 3x + 5(x - 2) = 14​

Answers

distribute the 5 throughout the x-2
3x+ 5x - 10 = 14
8x-10= 14
add 10 to both sides
8x=24
divide 8 both sides
x = 3

Solve equation: 3 (x + 4) - 5 (1 - 1) < 5
​

Answers

Answer:

x<-7/3

Step-by-step explanation:

3x+12<5

3x+12-12<5-12

3x<-7

3x/3<-7/3

x<-7/3

15 less than a number S is three more than 9 times a number T. Solve for S

Answers

Answer:

s = 9t + 18

Explanation:

Set up your equation

s - 15 = 9t + 3

Now get s by itself by adding 15 to both sides

s + 0 = 9t + 3 + 15

s = 9t + 18

If you know the value of t, plug that into the equation to solve further.

Use the following conditional:
If a number is odd, then it is an integer and a prime number.
Which is the hypothesis of the conditional?
A. A number is odd.
B. A'number is a prime number.
C. A number is either an integer or a prime number.
D. A number is both an integer and a prime number.

Answers

Answer:

a: a number is odd

Step-by-step explanation:

It uses the word IF

A new shoe comes in three colors: tan, navy, or black. It also comes in full sizes 4 to 11. If a pair of shoes is chosen at random from a display of all the possible colors and sizes, what is the probability it will be a black size 9​

Answers

Three colors * 8 possible sizes = 24 different shoes

The probability that the shoe is going to be a size 9 black shoe is 1/24.

Please Help Thank You So Much

This is inequalities

Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x

You don't need a graph to solve this.
I kinda need this today.

Answers

Answer:

all the possible values of y - x are 4 and 5

all possible values of x/y = 1

What is the solution of the following quadratic inequality? 9x - x2 > 18​

Answers

Answer: (3,6)

Step-by-step explanation: edge 2020

Answer:

A

Step-by-step explanation:

Ed2021

If the measure of angle 6 = 78°, what is the measure of angle 7?

Answers

the measure of angle 7 is also 78!

Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}

Answers

the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on

Correct! Thanks. This really helped me on a question on my quick check!

A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Find the complete question a=below;

A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?

The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;

h(t)=40t-16t2

0 h(t)=40t-16t2

40t-16t² = 0

add 16t² to both side

40t-16t²+16t² = 0+16t²

40t = 16t²

40 = 16t

divide both sides by 16

t = 40/16.

t = 2.5secs

Hence the golf ball hit the ground after 2.5secs

Answer:

when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.

g(a) = a + 2. Find f(-7).

Answers

Answer:

-5= g(a)

Step-by-step explanation:

assuming this is a typo and you meant to say g(-7).

-7 +2 = -5

x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?

Answers

(-32/7,281/21) is the answer

Brainliest?
Other Questions
A company is considering two designs for a machine in its manufacturing line. The first, called machine A, will cost $160000 in fixed costs and will cost $80 per unit in variable costs, for each unit it produces. The second, called B, will cost $270000 in fixed costs and will cost $2 per unit in variable costs, for each unit it produces. At what volume of production will the two machines cost the same write the number in scientific notation 1123 PLEEEEEEASEEEE HELP! ILL MARK BRAINLIST! The period in Japan's history in the late 19th century when imperial rule was restored was known as the Jane wants to determine the shortest route from her home to her workplace.She walks only on the sidewalks indicated by dotted lines on the map. What isthe distance of the shortest route from home to work to the nearest block?(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimalsuntil the very end of the problem).HELP PLEASE I have no idea how to do this As seen from Earth, what causes the Moon to change its apparent shape throughout the month? What is the correct order of steps for bisecting angle ABC? What makes it possible for us to be able to live on the earth? 1. El padre / de Ral ____________________________________________________________________________ 2. La casa / elegante ____________________________________________________________________________3. Yo / en el bao ____________________________________________________________________________ 4. Nosotros / contentos ____________________________________________________________________________ 5. Los actores / nerviosos ____________________________________________________________________________ 6. La chica / cmica ____________________________________________________________________________ What is the main idea of the poem the writer by Richard Wilbur In math i kind of need to know if a whole number is greater then a whole number and decimal.Example:7.5 and 7. Witch one is greater and how do i find out witch one is bigger What makes diseases caused by viruses and bacteria hard to treat pls help!! will mark brainlyest answer distance travelled by a train is 495 km in 4 hours 30 minutes, what is itsspeed in m/s? Need help with this problem I will give brainliest!!!! Is the underlined verb or verb phrase in the simple, progressive, or perfect aspect? Iman covered her nose to avoid the fumes. Choose 1 answer: (Choice A) A Simple (Choice B) B Progressive (Choice C) C Perfect Which type of microscope allows you to look at 3D objects? *compoundstereoscopemagnifyingsimple Question 9A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated inthe roller coaster, but 3 seats are empty. Write an equation that can be used to determine thenumber of seats in each car. Do you believe the treatment of immigrants in the United States haschanged today? Why or why not? A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper? "Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?