If f(x)=x-3, which inequality can be used to find the domain of f(x)?
Ovx-3>0
O x-3>0
O vx-3 <0
O x-3<0

Answers

Answer 1

Given that,

[tex]f(x) = \sqrt{x-3}[/tex]

To find,

The domain of f(x).

Solution,

We have, [tex]f(x) = \sqrt{x-3}[/tex]

To find domain,

The term under the square root must be positive or null as follows :

[tex]x-3\ge 0[/tex]

Adding 3 both sides

[tex]x-3+3\ge 0+3\\\\x\ge 3[/tex]

So, the domain is x-3>0 .


Related Questions

I need help please with this equation:

Answers

Answer:

y=-3x+2

Step-by-step explanation:

Find the area of the semicircle
Either enter an exact answer in terms of * or use 3.14 for and enter your answer as a decimal
units

Answers

Answer:

4.4

Step-by-step explanation:

Pam went to the fair. She went on the same 6 times and used the same number of tickets each time. She used 18 tickets. How many tickets did she use each time she went on the ride?

Answers

Answer:

3 tickets

Step-by-step explanation:

If you did 18/6 it would cost 3 tickets each time on the ride.

18÷6=3 tickets

heeeeeeelpppppppppppp

Answers

Answer:

$128

Step-by-step explanation:

The values of m and n are whole numbers greater than 1. Which is true about the quotient

Answers

Answer:

"The expression will always equal m" is true about the quotient of [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]

Step-by-step explanation:

Let us solve the question

∵ The expression is [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex]

→ In the division of fractions, we change the division to multiplication

   and reciprocal the fraction after the division sign

∵ The reciprocal of  [tex]\frac{1}{n}[/tex] is [tex]\frac{n}{1}[/tex]

∴  [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] =  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex]

→ In the multiplication of fractions, we can simplify the terms in

    the numerators by the terms in the denominators

∵ There is n in the numerator and denominator

∴ Cancel n up and down

∴  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = [tex]\frac{m}{1}[/tex]

∴  [tex]\frac{m}{n}[/tex] × [tex]\frac{n}{1}[/tex] = m

∴  [tex]\frac{m}{n}[/tex] ÷ [tex]\frac{1}{n}[/tex] = m

The quotient is m

The expression will always equal m

Find the missing side length, S. ​

Answers

S=3

They are similar so you divided 4 by 2 to get the second length of two.

That means you also have to divide 6 by 2.

Answer:

3

Step-by-step explanation:

since both triangles are similar, set up a ratio

[tex]\frac{4}{2}[/tex]=[tex]\frac{6}{s}[/tex]

cross multiply

4s=12

divide

4s=12

/4   /4

s=3

what is (√7)² in simplest form?

Answers

Answer:

14?

Step-by-step explanation:

So sorry if I got it wrong-

Factorise x^2+13x+12

Answers

Step-by-step explanation:

Given

x² + 13x + 12

= x² + ( 12 + 1) x + 12

= x² + 12x + x + 12

= x ( x + 12 ) + 1 ( x + 12)

= (x + 12) (x + 1)

Hope it will help :)❤

HELLO!★ [tex]x^{2} + 13x + 12[/tex]= [tex]x^{2} + ( 12 + 1 ) x + 12[/tex]= [tex]x^{2} + 12x + x 12[/tex]= [tex]x (x+12)+1(x+12)[/tex]= [tex](x+12) (x+1)[/tex]

´✰ उपलब्धियों ´´

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is

Answers

Answer:

Equal

Step-by-step explanation:

If two lines are intersected by a transversal, then the number of pairs of interior angles on the same side of the transversal is equal

fully simplify 14xy^4(-14y)​

Answers

The answer would be ~-196xy^5~

Hope this helps

Have a great day/night


If x²-2=2⅔ +2-⅔
then prove that 2x³-6x =5 solve and send photo please​

Answers

Answer:

Step-by-step explanation:

x²-2=2⅔ +2-⅔

x^2 = 2^1 + 2⅔ +2-⅔

x^2 =   4.21736

x = 2.0536.

Plug this into 2x^3 - 6x:

= 2(2.0536)^3 - 6(2.0536)

= 5

So 2x^3 - 6x = 5.

answer:

[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]

Step-by-step explanation:

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

[tex]x^{2} - 2 = 4[/tex]

[tex]x^{2} = 4 + 2[/tex]

[tex]x^{2} = 6[/tex]

[tex]x = - \sqrt{6} \\ x = \sqrt{6} [/tex]

[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]

PLZ HELP vgffdhstudfhgxd

Answers

Answer:

1/5

Step-by-step explanation:

To simplify, we can first divide the top and bottom by 10:

2/10

Then by 2:

1/5

1/5 is the correct answer

It takes servers in a restaurant 18 minutes to clear and set 9 tables.
At this rate, how long will it take them to clear and set 20 tables

Answers

Answer:

40 minutes

Step-by-step explanation:

To find it taes to clear and set one table divide time by the amount of tables. 18/9=2. It takes 2 minutes per table. To find the answer for 20 tables, you have to multiply 20 by 2. It takes 40 minutes to set and clear 20 tables.

A student measures the length of her dress to be 60 inches long but the actual length of her dress is 65 inches long. What is the percent error of this student

Answers

Answer:

8.333% error

Step-by-step explanation:

using percent error formula

(actual - expected) / expected *  100 %

actual = 65

expected = 60

plug

(65-60)/60 * 100%

= 8.33 %

select all the expressions equivalent to 5x + 6x + 3x : 11x + 3x, 14x + x, 2 (3x + 4x), 3x(2 + 1) + 5x, 5x + 3(2x + x)

Answers

Step-by-step explanation:

5x + 6x + 3x

= 14x.

Now we compare the expressions with the result:

11x + 3x = 14x. (correct)

14x + x = 15x. (incorrect)

2(3x + 4x) = 2(7x) = 14x. (correct)

3x(2 + 1) + 5x = 3x(3) + 5x = 9x + 5x = 14x. (correct)

5x + 3(2x + x) = 5x + 3(3x) = 5x + 9x = 14x. (correct)

Hence our answers are the 1st, 3rd, 4th and 5th.

Right answer gets brainlist

Answers

Answer:

there ain't nun to answer here

Step-by-step explanation:

anyone please help me i forgot to hand in my hw on the due date plzz anyone help me with those questions thank you!​

Answers

Answer:

a)

(i) 43, 56

(ii) -1,3

b)-27

c) -21 +4n

Step-by-step explanation:

For a,i, you can see that it decreses by 7 each time so you subtract 7 from 50 to get 43, then you subtract 7 from that to get 56. For a,ii it increases by 4 each time so you add 4 to -5 to get -1, then add 4 to that to get 3. For b, because it is the 15th term you are looking for, you can plug 15 into the equation as n so 78-7n to 78- 7*15, 78-105, -27. For c, you know that each time it increases by 4, so you know you add 4n, and then for the base, you have to find the term before -17 so you subtract 4 to get -21. Put it together and get -21+4n.

PLSSS HELPPPPPP :(((((

Answers

Answer:

Step-by-step explanation:

y+11<30

subtract 11 from both sides

y+11-11<30-11

y< 19

choice A

Step-by-step explanation:

y + 11 < 30       Original inequality

y + 11 - 11 < 30 - 11    Isolating the variable

y < 19                The answer / Simplification

The answer is A, I hope this helps!!!

Troy wants to ride his bicycle 35 miles this week. He has already ridden 11
miles. If he rides for 3 more days, write and solve an equation which can be
used to determine m, the average number of miles he would have to ride EACH
DAY to reach his goal.

Answers

Answer:y=35x+11

Step-by-step explanation:y=Mx+b

Which is a infinitely many solution ?

Answers

Answer

Sorry thats not out topic yet

Step-by-step explanation:

Sorry :c

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT

Answers

Answer:

?

Step-by-step explanation:

Donovan age is two times Sydney's age the sum of their ages is 39 what is Sydney's age

Answers

Answer:

13

Step-by-step explanation:

2x+x=39

3x=39

divide both sides by 3 and then you get 13

On the first visit to the veterinarian's office, Elijah's puppy weighed 19 ounces. On the 2nd visit, the puppy had gained 9 ounces. On the third visit, the puppy had gained another 7 ounces. What is the percent increase since the first visit in the puppy's weight rounded to the nearest percent?

a 84%
b 85%
c 79%
d 81%

Answers

Answer:

A)84%

Step-by-step explanation:

Orgin: 19 ounces

Second visit: 19+9=28 ounces

Third visit=28+7=35 ounces

35-19=16 ounces gained

16/19=84.2%=84% increase

~Please I really need help~ Inara has a base salary of $300 per week. She also receives a $30 commission on each sale. 14.5% of her gross pay is withheld for taxes and other deductions. Create
an equation for Inara's net pay.

Answers

Answer:

(300 + 30x)0.145 = y

Step-by-step explanation:

Answer:

-0.145x + 300w + 30y = p

Step-by-step explanation:

Salary: 300 Weekly

+ 30$ every sale

-14.5%

x = her taxes

y = comission

w = number of weeks

P = how much she gets paid.

Ace

From stations A and B, the distance between which is 910 mi,
two trains left simultaneously moving towards each other. The
speed of one train was 10 mph greater than the speed of the
other one. In 5 hours the trains met. Find the speed of each train.

Answers

Answer:

The slowest train goes at 86 mph and the fastest train goes at 96 mph.

Step-by-step explanation:

Distance and Speed

Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.

The distance is calculated as:

d = vt

Where v is the speed and t is the time.

The distance traveled by each train in 5 hours is:

Slowest: 5x

Fastest: 5(x+10)

The sum of both distances is 910 miles:

5x + 5(x + 10) = 910

Operating:

5x + 5x + 50 = 910

10x = 910 - 50 = 860

x = 860/10

x = 86

The slowest train goes at 86 mph and the fastest train goes at 96 mph.

Brady has a card collection with 32 basketball cards, 24 football cards, and 40 baseball cards. He wants to
arrange the cards in equal piles, with only one type of card In each plle.
How many cards can he put in each plle? Select all that apply.

Answers

Answer:

he can make 8 piles before he runs out and has 2 cards leftover

Step-by-step explanation:

Please give me the correct answer ​

Answers

The answer is the second one

I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?

Answers

Answer:

80 i think

Step-by-step explanation:

32.3=80

Step-by-step explanation:

Amount of money saved : spent = 2 : 3.

Since amount of money saved = £32,

Amount of money spent = £32 * (3/2) = £48.

Total amount of money = £32 + £48 = £80.

Therefore I received £80 for my birthday.

What is this answer?

Answers

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

How do I fine x to the nearest tenth ??

Answers

Answer:

x = 13.6

Step-by-step explanation:

Here, we want to find the value of x

to find the value of x. we are going to use the sine rule

It states that the ratio of the sine of an angle to the measure of the side facing the angle is fixed for a triangle

In this case;

11/ sin 27 = x/ sin 34

x = 11 sin 34/sin 27

x = 13.6

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