[tex]\frac{\sqrt{2x} }{\sqrt{} x-1}[/tex]
For which values of x does each expression make sense?

Answers

Answer 1

Answer:

The expression is unclear so:

If the denominator is [tex]\sqrt{x}-1[/tex] then your set of existence is given by

[tex]\left \{ {{x\ge0} \atop {x\ne1}} \right.[/tex]

since you want the quantity inside both square roots to be positive (and it happens for both to be simply [tex]x\ge0[/tex] and you don't want a zero at the denominator so you have to rule out 1.

If the square root includes the whole denominator [tex]\sqrt{x-1}[/tex] the condition becomes [tex]\left \{ {{x\ge0} \atop {x>1}} \right.[/tex]

where you don't include the extreme in the second condition since, again, you don't want to divide by 0. The answer in this case is simply [tex]x>1[/tex] since values between 0 and 1 will give a negative root which is not a real number.


Related Questions

HELP PLEASE 20 POINTS

Answers

Answer:

a b and j?

Step-by-step explanation:

Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that
Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's
weight would still be á pound less than he did in January. What is Euclid's weight?
4
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid's weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined
weight of the three dogs is 603 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.

Answers

We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

a) P - 13lb + 1.2*E = P - 1lbb) E =  10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.

We start by defining the two variables we will be using:

E = Euclid's weightP = Pythagoras's weight

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

If you want to learn more about algebra, you can read:

https://brainly.com/question/20607627


Can someone help me?

Answers

Answer:

just make something that is eqivalant to 4= or 14=

Step-by-step explanation:

Name the property of arithmetic used to rewrite the numeric statement. ( 6 + 3 ) + 21 − 8 = 6 + ( 3 + 21 ) − 8 A. Associative property of addition B. Associative property of multiplication C. Distributive property

Answers

The arithmetic property used to rewrite the numeric statement is:

A. Associative property of addition

The statement is:

( 6 + 3 ) + 21 − 8 = 6 + ( 3 + 21 ) − 8

In it, the order of the parenthesis is changed, which is the associative property of addition, which states that changing the grouping(order of parenthesis) of the terms does not change the sum.

Hence, the correct option is A.

For more on arithmetic properties, you can check https://brainly.com/question/4343927

The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label.

(a) Develop the appropriate null and alternative hypotheses.

a) H0: μ = 1

b) Ha: μ ≠ 1

a) H0: μ > 1

b) Ha: μ ≤ 1

a)H0: μ ≥ 1

b) Ha: μ < 1

a) H0: μ < 1

b) Ha: μ ≥ 1

a) H0: μ ≤ 1

b) Ha: μ > 1

(b)What is the type I error in this situation? What are the consequences of making this error?

a) It is claiming μ < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.

b) It is claiming μ > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification.

c) It is claiming μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

d) It is claiming μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

(c) What is the type II error in this situation? What are the consequences of making this error?

a) It is concluding μ > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.

b) It is concluding μ ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

c) It is concluding μ ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification.

d) It is concluding μ < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification.

Answers

I’m not so sure but maybe develop the appropriate bull and alternative hypothesis

CAN YOU PLS HELP MEEEE

Answers

Answer:

10x - 2y

Step-by-step explanation:

simplify the expression.

8x2y + x + x

combine numbers that have the same variables

8x + x + x

*those x have 1 coefficient each.

it will be 8x+1x+1x = 10x then 2y

10x2y.

Hope it helps :)

Jaime is three years younger than his brother Keegan. In five years, the sum of their ages will be thirty-nine.
How old are they now?

Answers

Answer:

Keegan is 16 and Jamie is 13.

Step by Step Explanation:

So if we were to take the number 39 and divide it by 2, we would get 19.5. Since Jaime is 3 years younger, we would subtract 3 from one of the 19's. Then we would add 1.5 to both of the numbers since that 3 we subtracted has to go somewhere in that 39, and we come up with the numbers 21 and 18. Since it is asking how old they are NOW and not in the future, we subtract 5 from both numbers to account for the 5 years, and we end up with the years 16 and 13.

Math:

39÷2 = 19.5

19.5 19.5

-3

___________

16.5 19.5

+1.5 +1.5

___________

18 21

-5 -5

13 16

Question 7 of 10
Which of the following graphs shows a positive linear relationship with a
correlation coefficient, r, close to 1?
A.
B.
c.
D.
*
A. Graph A
B. Graph B
C. Graph
O D. Graph D

Answers

I think it’s c hope it helps.

PLEASE HELP !!!


x^2-34=16x

Answers

Answer:

Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0

Add 100 to both sides:(x - 8)^2 = 100

Take the square root of both sides:x - 8 = 10 or x - 8 = -10

Add 8 to both sides:x = 18 or x - 8 = -10

Add 8 to both sides:Answer:  x = 18 or x = -2

Step-by-step explanation: DONT TRUST THIS THOUGH

Find the length of the diagonal of square if each side of the square is 16 inches long. Give in simplest radical form where possible.

Answers

d≈22.63in I hope this helps

A line passes through the point (-2, -6) and has a slope of
2
No
Write an equation in slope-intercept form for this line.

Answers


ANSWER: y = 2x + -6

EXPLANATION

Slop intercept for is

Y = Mx + b

Where Mx is the slope and b is they y intercept

The slope is 2 and the y intercept is -6

We know the y intercept cause it’s written (x,y) and -6 is in the y value spot.

So just plug in the numbers and you get

Y= 2x + -6

Y=2x+-6 is the answer

In this triangle, cosA/cosB=

Answers

Answer:

1

Step-by-step explanation:

In sohcahtoa:

Cos (c) = adjacent (a) / hypotenuse (h)

cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24

cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well

Therefore, cosA = cosB

cosA/cosB = cosA/cosA = 1

Temperature differences are caused by the differences in air warming from the?
1. Solar Radiation
2. Earth Convection
3. Solar Conduction

Answers

Answer:

1 solar radiationnnnnmnnmnnnnn

2x2 is what its due in 1 minute

Answers

Answer: 4

Step-by-step explanation: You multiplied 2 and 2 which equals to 4

Answer:

9

Step-by-step explanation:

9 9 9 9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9 9  9 9 9 9 9

An arts academy requires there to be 5 teachers for every 90 students and 3 tutors for
every 36 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 108 students?


PLSS

Answers

Three tutors for 108 students, if the total number of teacher is 5 then the academy would have around 450 students srry if im wrong

Camry has 612 photos she needs to put
into albums. If each album holds 36
pictures, how many albums will it take
to hold all the photos?

Answers

Answer:

36 = 1

612 =?

(612×1)

----------

36

=17

Simplify: Square root 25ab^6 help please

Answers

Answer:

5 b^ 3 √ a

Step-by-step explanation:

Break up the radicand up into a product of known factors assuming positive real numbers.


2,6,18,...
Find the 8th term.
Find the 8th term.

Answers

Answer:

4378

Step-by-step explanation:

Its clearly given that each term is multiplied by 3

I.e- 2×3 = 6

6×3= 18

and so on....

so here the G.P series is a=2 and r=3

To find the 8th term ar^8-1

ar^7 = 2×3^7

= 2×2187

= 4378

12+13×4 what is the answer best explanation will get brainliest​

Answers

64

Multiply 13 by 4

12 + 52

Add 12 and 52

64

Hello there, this is just a basic PEMDAS problem

[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]

12+13×4 what is the answer

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]12+13\cdot4[/tex]

_______________

[tex]{\huge{\boxed{\mathbb{PEMDAS\:RULE}}[/tex]

Follow PEMDAS rule

Parenthesis Exponents Multiplication or Division Addition or Subtraction

_______________

So first we will multiply [tex]13[/tex] by [tex]4[/tex] giving us [tex]52[/tex]. Now just add [tex]12+52=64[/tex]

_______________

[tex]{\huge{\boxed{\mathbb{ANSWER}}[/tex]

64

HELP PLEASE
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the
remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?

Answers

Answer:

b/a = 3

Step-by-step explanation:

f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)

f(x) = Q(x)*(x²-4x-12) + (x+6)

x= - 2   ... when f(x) is f(-2)        x²-4x-12 = 4+8-12 = 0

a = f(-2) = Q(x)*0 + (-2 + 6) = 4

x= 6   ... when f(x) is f(6)        x²-4x-12 = 36-24-12 = 0

b = f(6) = Q(x)*0 + (6 + 6) = 12

b/a = 12/4 = 3

Brainliest for right answer.

Answers

Answer:

441 millimeters of compound B

Step-by-step explanation:

4 + 7 = 11

693/11 = 63

7 · 63 = 441

W(x)=3x^2-3x .find w(5+t)

Answers

Answer:

[tex]60+27t+3t^2[/tex]

Step-by-step explanation:

Let's put 5+t wherever we have x in the original: rest is simple algebra.

[tex]w(5+t) = 3(5+t)^2 -3(5+t) = 3(25+10t+t^2)-15-3t =75+30t+3t^2-15-3t =60+27t+3t^2[/tex]

two functions are shown below.
f(x)=4^x-62
g(x)=x^2-2x+5

evaluate g(-2)+f(3)

Answers

Answer:

...

Step-by-step explanation:

Francine recorded today's high
temperature as 78.6°F. Today's low
temperature was 4.7°F less than
that. How much cooler was today's
low temperature than yesterdays low
temperature, which was 77.4°F?

Answers

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

which statement about decision making analysis is false

Answers

Answer: Id personally say D

Step-by-step explanation:

Write 6,070,000 in expanded form.

Answers

Answer:

6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0

bonus : word form: six million seventy thousand

Step-by-step explanation:

hope this helps! have a g'day


6,070,000 =
6,000,000
+ 0
+ 70,000
+ 0
+ 0
+ 0
+ 0

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table. If f is the cups of flour needed for h tablespoons of honey, write an equation that relates f and h. How much flour is needed for 15 tablespoons of honey? 17 tablespoons? Explain or show your reasoning. honey (tbsp) flour (c) 1 8 10 16 30 h

Answers

Your answer: A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches ... https://brainly.com/question/18026512

HELP! Due in 5 minutes

Answers

ANSWER:

the first one: 30x+48

The second one: x y^2(10 y + 15)

The third one: 30 x y - 5 x^2

Hope this helped!

sorry if im wrong. :)

GOOD LUCK!! <3

-) Which is a valid velocity reading for an object? O 45 m/s O 45 m/s north 23 O O m/s south O 0 m/s ok Save and Exit Next Mark this and return​

Answers

Answer:

Step-by-step explanation:

0 can't have a direction. It does not move. It has no speed component. Therefore 0 m/s south is not the answer.

45 m/s has no direction stated. It is just a speed, not a velocity.

45 m/s north is a velocity. It has both speed and direction.

Please help me solve this problem, thank you.

Answers

Step-by-step explanation:

first you need to find the 17 and 8 triangles missing sides length so we do a squared plus b squared equals c square and since we have c which is 17 we subtract 8 squared or 64 from 17 square and we get 225. next the missing line from the next one is done the same way 225 minus 9 squared or 81 and we get 144 and the square root of that is 12 we do 12 squared 144 minus 6 squared because we already know that the side is six because it gives it to us and we get 10.392

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