When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.

Answers

Answer 1

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.


Related Questions

find the length of side BD round your answer to the nearest hundred

Answers

Answer:

The length of side BD is 4.62 units to the nearest hundredth

Step-by-step explanation:

In Δ ABC

∵ m∠ABC = 90°

∵ BD ⊥ AC

AB × BC = BD × AC

∵ AB = 12 units

∵ BC = 5 units

∵ AC = 13 units

→ Substitute them in the equation above

12 × 5 = BD × 13

∴ 60 = 13 BD

→ Divide both sides by 13 to find BD

∴ 4.615384615 = BD

→ Round it to the nearest hundredth

BD = 4.62 units

The length of side BD is 4.62 units to the nearest hundredth

Harry and Selma start driving from the same location. Harry drives 42 miles north and Selma drives 144 mies east. How far apart are Harry and Selma when they stop?

Answers

Answer:

150 miles

Step-by-step explanation:

use the pythagoerean theorem

42^2 + 144^2 = c^2

1764+20736=c^2

22500 = c^2

c= 150 miles

Write 178/48
as a percent.

Answers

370.83 repeating percent or 371 percent. Convert the fraction to a decimal then multiply by 100:)

Answer:

370.83%

Step-by-step explanation:

Divide them, and then multiply by a hundred.

. When 12 is subtracted from 4 times a number, the result is 24. Which equation can be used to find the number?

Answers

Answer:

12 + 24 divided by 4

Step-by-step explanation:

12 + 24 is 36, so divide that by 4, that gives you the answer, which is 9

The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

When 12 is subtracted from 4 times a number, the result is 24.

Let the number be 'x'. Then the equation is given as,

12 - 4x = 24

Simplify the equation, then we have

12 - 4x = 24

- 4x = 24 - 12

- 4x = 12

4x = - 12

x = - 12 / 4

x = - 3

The equation that represents the situation is 12 - 4x = 24. Then the solution of the equation will be negative 3.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ6

HELP ILL GIVE BRAINLIEST

Answers

A would be the correct answer.

Answer:

[tex]7.09*10^{8}[/tex]

Step-by-step explanation:

In scientific notation, a number less than 10 (in this case 7.09) is the base, and it is multiplied by 10 with an exponent (in this case 8).

Factor completely...I need help with my algebra 2 assignment!

Answers

1.) (x+2) (x+4) (x-4)

2.) (3x-4) (x^2 +3)

3.) 2x(2x-5) (x-4)

4.) (4x+3) (2x^2 +1)

5.) (4x-5) (16x^2 + 20x+25)

6.) (x+2) (x-2) (x^2+3)

7.) 2x^2(2x+3) (4x^2-6x+9)

8.). (4x-1) (x+1) (x-1)

*Hope this helped, good luck :-)

Justin reads
5/8 chapters in 4/5
hours.

What is the unit rate in chapters per hour?

Write your answer in simplest form.


20 points to person

Answers

25/32 is the unit rate in chapters per hour

The unit rate in chapters per hour is 1/2.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Justin reads 5/8 chapters in 4/5 hours.

the unit rate in chapters per hour is = 5/8÷4/5

                                                          =5/8×4/5

                                                         =1/2

Hence, the unit rate in chapters per hour is 1/2.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Find the square root of 36 by prime factorisation
method​

Answers

Answer:

36

2×18

2×9×2

2×2×3×3

=> square root of 36 =6

5 and 2/3 divided by 4?

Answers

Make them into fractions
17/3 divided by 4/1
Divide = multiply reciprocal
17/3 * 1/4 = 17/12
The answer is 17/12

Answer:

1.41 it’s a infinity answer

Step-by-step explanation:

What is the binary number for 13​

Answers

Step-by-step explanation:

[tex]13=8+4+1=2^3+2^2+2^0=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold1\cdot2^0\\\\13_{10}=1101_2[/tex]

Answer:

♡ hola, madi here ♡

- 1101 is the answer.

hope your thanksgiving is amazing.

know your loved & make sure to

hug a loved one today.ʕ ꈍᴥꈍʔ

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

2.4 divided by 16.8 please hurry!!

Answers

0.14285714285

Calculator ;)

PLEASEEEEE HELPPPPPP ASAPPPPP

Answers

The correct answer is 9 or option D:)

bro this is eazy if i get it right give me brainliest

Answer: 9

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?

Select each correct answer.


(−3, 3)

(7, 0)

(−1, −6)

(11, 3)

Answers

The answer is (7,0)

I’m pretty sure if people can explain then there is your explanation but I don’t know how to explain CORRECTLY. But the ANSWER IS (7,0)
Answer: (7,0) and (11,3). i don’t know how many is max.

Explanation: 3(7)-4(0)=21
21-0=21 ✅

Explanation: 3(11)-4(3)=21
33-12=21 ✅

Both of these are true!

i need some help please

Answers

Answer: 2.4 x 10^8

Step-by-step explanation:

Answer: 2.4x10^8

Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8

I need help. I don’t understand it. Thanks!

Answers

Answer:

Yessss

Step-by-step explanation:

A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month period beginning in January.

Month, x 1 2 3 4 5 6 7 8 9
Units, y 150 300 380 425 425 480 520 550 575

Which equation best models the situation?

a y=148.4 x-1-154

b y=46.4x+191.7

c y=148.4 x-1+154

d y= -46.4x+191.7

Answers

Answer:

B

Step-by-step explanation:

I took the test.

Answer:

y=148.4sq rt x-1 +154 or c

Step-by-step explanation:

Find the value of X

PLEASE

Answers

Answer:

x ≈ 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Trigonometry

Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA

a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side a

Step-by-step explanation:

Step 1: Define

a = x

A = 30°

b = 16

c = 30

Step 2: Solve for x

Substitute:                    x² = 16² + 30² - 2(16)(30)cos30°Exponents:                   x² = 256 + 900 -2(16)(30)cos30°Evaluate:                       x² = 256 + 900 -2(16)(30)(√3/2)Multiply:                        x² = 256 + 900 - 480√3Add:                              x² = 1156 - 480√3Subtract:                       x² = 324.616Isolate x:                       x = √324.616Evaluate:                       x = 18.0171Round:                          x ≈ 18

What graph shows the linear equation y = 1?

Answers

Answer:

I don't see a picture; where are the graphs?

Natalie wants to start a business, she is going to make bracelets. She spends $40 for a braiding device and materials to start her business. Each times she makes a bracelet it costs her $8 in materials and packaging. Natalie sells her bracelets for $8 each.

Answers

y=9+9 because when you take that factor off you add 8 + 1

Mikaila collected 27 pounds of glass bottles to bring to the recycling center. she also collected 400 ounces of newspapers and 160 ounces of aluminum cans. what is the total weight of the items Mikaila brought to the recycling center? write your answer in ounces. think you❤!

Answers

The total weight of the items Mikaila brought to the recycling center is 992.

с
3
7
Solve for c.
= ✓ [?]
Enter the number that
goes beneath the
radical symbol.
C =
Enter

Answers

Answer:7.62, if not just 7.6 orr 58 read explanation lol

Step-by-step explanation:

i did the math and i doubled checked on a calculator :P,

cause you use the formula c= [tex]\sqrt{a^2+ b^2}[/tex] and in this case a^2 and b^2 is 3^2 and 7^2 and then you solve so its 9 and 49 and then add them which is 58 and then you find the square root of 58 which is 7.6 or in your case you put 58 under the square root

I give you brainliest

Answers

Answer:

Problem 1:

H = (5,2)

I = (8, 4)

J (7,8)

K (3,8)

L (2,4)

Problem 2:

H (2, -4)

I (5,-2)

J (8, -4)

K (7, -8)

L (3, -8)

For problem 3 just use the coordinates points to plot/sketch the graph

Step-by-step explanation:


What is the range of: 21, 35, 17, 27, 32, 12 and 30

Answers

Answer:

Please mark as brainliest!!

Step-by-step explanation:

range = maximum value -minimum value

35-12=23

He cafeteria at Midtown Middle School surveyed 575 students about their favorite food. If 8% of the students surveyed liked chicken, how many students said that chicken is their favorite food?

Answers

Answer:

46.08 students said that chicken is their favorite food.

Step-by-step explanation:

Let X denote the number of students who liked chicken.

The proportion of students who liked chicken is, p = 0.08.

About n = 576 students were surveyed about their favorite food.

Every student's answer was independent of the others.

Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.

The probability mass function of X is:

[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]

Then expected number of students who said that chicken is their favorite food is:

[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]

Thus, 46.08 students said that chicken is their favorite food.

Andrew has $15 less in his piggy bank than his friend Tom. Write an algebraic expression that represents the amount of money that Andrew has in his piggy bank.

Answers

Answer:

I think the answer is is X-15

Which expression is represented by this model?

14×13=112

13×12=16

14×16=124

14×12=18

Answers

Answer:

the first one

Step-by-step explanation:

hope i helped

Answer:

a

Step-by-step explanation:

pls give brianleist

plz help what is 6 x 18 plz show work thank

Answers

Answer:

the answer is 108.

Step-by-step explanation:

6 x 18 = 108

6 x 18= 108

4
1 8
X 6
108

Hope it helps :)

Which expression is equivalent to (3w−8)−4(2w+3)

Answers

Answer:

-5w -20

Step-by-step explanation:

(3w-8) -4(2w+3) start by removing the parentheses

3w-8-4(2w+3)

-5w-8-12 collect like terms

-5w-20 and that's how you get the answer

The pair of points lies on the same line with the given slope. Find x.
(4,6). (x, 12); slope = 2

Answers

Answer:

x=7

Step-by-step explanation:

I got this because it is rise over run

[tex]\frac{rise}{run} =\frac{6}{?} =2[/tex]

The missing number would be 3, and if you add that three to 4 you get 7. which means that the answer is...

(7,12)

Hope this helps you!!!

Darius sees a new store advertising 10 of the same packs of paper clips for $41.50. Which statement best describes the strategy Darius should use to get the best price for each pack?

Answers

Answer:

$4.150/pack

Step-by-step explanation:

Given the price of 10packs as $41.50, we can express it as;

10 packs = $41.50

To get the equivalent price of 1 pack, we will say;

1 pack = $x

Solving both equalities for x;

10 packs = $41.50

1 pack = $x

cross multiply

10 * x =  1 * 41.50

10x = 41.50

Divide both sides by 10

10x/10 = 41.50/10

x = 4.150

Hence the price for each pack is $4.150

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