Explain why the square root of a number or variable can be either positive or negative.

Answers

Answer 1

Answer:

Well, the answer is: it depends on what was printed in the problem. The principal square root symbol never has a negative output, so if the test maker printed that symbol, it’s restrictions have to be respected: all square roots then are positive.

Step-by-step explanation:

a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 4² = (−4)² = 16. Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √(x), where the symbol √( ) is called the radical sign or radix.

Answer 2

Answer/Step-by-step explanation:

The square root could be positive or negative because multiplying two negative numbers gives a positive number. The principal square root is the nonnegative number that when multiplied by itself equals a. The square root obtained using a calculator is the principal square root.


Related Questions

Over time, the value of a car decreases. If the value of a car purchased for Php
1,250,000 decreases to Php 1,000,000 throughout a year, what is the rate of change?

Answers

Answer:

-20%

Step-by-step explanation:

Current value of an item and divide it by the value from an earlier period. Subtract one and multiply the resulting number by 100 to give it a percentage representation.

ROC = (current value/previous value​ − 1) x 100

ROC = (1,000,000/1,250,000 - 1) x 100

ROC = (0.8 - 1) x 100

ROC = -0.2 x 100

ROC = -20

[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.

Answers

There would be exactly 1008 students present on the particular day

Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license plates, and $40 for a state safety and emissions inspection. How much does she need to pay for these extra charges, not including the price of the car?

Answers

Answer:

999

Step-by-step explanation:

Answer:

999

Step-by-step explanation:

8% of 11,325 is 906

53 plus 40 is 93

906 plus 93 is 999

4x+y=8
x+2y=5
substutuion method

Answers

Answer:

i dont know sry....i ned points..

13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7

Answers

i think its most its 7 d,

HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME!

Answers

Help with what there is no picture attached

If f is an always positive, differentiable function and y = ln(f(sin x)), what is y’ when x=4 ?

Answers

Answer:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4

Step-by-step explanation:

We can't actually find the numerical value for this without more information.

We are given:

y=ln(f(sin x))

This is equivalent to

e^y=f(sin x)

Differentiate both sides:

y' e^y=cos(x) f'(sin x)

Divide both sides by e^y:

y' =cos(x) f'(sin x)/e^y

Rewrite in terms of x using that e^y=f(sin x):

y' =cos(x) f'(sin x)/f(sin x)

Now replace x with 4:

cos(4) f'(sin 4)/f(sin 4) is y' at x=4

can someone pls help me with this

Answers

Answer:

were is the qn?

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!2

Answers

Answer: B

Solution: Because the line is a dotted line. so print (-3, -1) and (3, 3) , (0, 0) are not the solution, so , answer is (0, 5) choice B.

Answer:

C

Step-by-step explanation:

first way: (easier way)

Plot the points out, points in the blue region are solutions. points on the dotted line are not solutions since it is a dashed line.

(0,5 is in the blue region)

second way:

find the equation of the in-equality:

the line that divides solutions and non-solutions passes through 3,3 and -3,-1

y=mx+b

m=change in y/change in x = (-1-3)/(-3-3) = 2/3

y=2/3x+b

plug x=3, y=3 (from the point "3,3")

3=2/3*3+b

3=2+b

b=1

y=2/3x+1 is the solution of the line.

the in-equality is

y(?)2/3x+1

plug in -5,5, which is a solution (looking at the graph)

5>-7/3

so use >, and not <

y>2/3x+1 is the equation of the in-equality, now just plug the answer choices in to see that

x=0,y=5 is a solution

ℎ ℎ 22 2 22 2− 3 +10

Answers

Answer:

wouldn't the answer be 9

Step-by-step explanation:

Answer:

22h^2 + 33 (added) .    h⋅h⋅22,2,22,2−3+10 (subtracted)

Step-by-step explanation:

I don't understand what you want so I will list lots of answers hopefully it helps. Please message under my answer for more solutions so I can help you but I hope this started to help you.


Given the figure below, which of the following equations is correct?

Answers

A is the correct answer

ok done. Thank to me :>

A is the following answer

If you can wash seven cars in three hours how many cars can you wash in eight hours

Answers

7/3=x/8

7/3 x 8 = x

18.7=x

Hence you can wash 18.7 cars, which does make sense because you can leave cars Half unwashed, hope this helps :)

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

Determine the value of x in the diagram.

Answers

Answer:

x=48 because 180-156=24. 108+24=132 180-132=48

A couch priced at $300 is on sale for 40% off. What is the sale price of the couch?

Answers

Answer: $180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

300-40% = 180 hshsjsbhshebs

numerical expressions
X + 5=2
M - 2 =3
X/-8 = -1
5G=-20
1P/6 =0
D-15=14

Answers

Answer: ?

Step-by-step explanation:

The sum of first four terms is a G.P. is 30 and that of the last four terms is 960. if its first term is 2 find the common ratio .

Answers

If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990

We also know that a = 2

sum of first 4 terms

= 2(r^4 - 1)(r-1) = 30

r^4 - 1 = 15r - 15

r^4 - 15r + 14 = 0

r = 1 works for the equation , but r = 1 would make all the terms of the

GP the same, so clearly not a solution

r^4 - 15r + 14 = 0 , a bit of trial and error ....

(r-1)(r - 2)(r^2 + 3r + 7) = 0

so r = 2 or r = not real

check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed

so r = 2 , BUT it does not work for sum(8)

sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.

check your question.

Please help thanks!!!

Answers

Answer:

[tex]a^{2}[/tex]

Step-by-step explanation:

Answer: ?

Step-by-step explanation:

Looking for help pleaseeee

Answers

Answer:

an = a(n-1) -4

Step-by-step explanation:

From the table we see that

a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...

Notice the numbers decrease by 4 so

a2 = a1 -4

a3 = a2 -4

a4 =a3 -4

a5= a4-4

generalized we will have

an = a n-1 -4

A line passes through the point (-8, 3) and has a slope of 3/4 write an equation in slope intercept form

Answers

Im thinking 9. If i did the math correctly. You should try 9

what is the equation of a line when m=-7 and b=-8

Answers

Without seeing the equation i can assume it would be -7 (sign) -8 or -8 (sign) -7, -7/-8, -8/-7, and so on and so forth.

10 points to whoever can answer this!

Answers

Answer:

A

Step-by-step explanation:

The answer is A, because with absoulute value, the negative number will become positive. So positive 16 is obviously a bigger number than positive 4.

Have a great day friend! :D

how would I solve this??
logx^125 = -3​

Answers

Step-by-step explanation:

First, this is how I read it.

[tex]\log(x^{125})=-3[/tex]

Next, this is how logarithms work:

[tex]b^y=x\implies \log_b(x)=y[/tex]

In your equation, we have all 3 numbers:

b = 10 (implied)x = [tex]x^{125}[/tex]y = -3

With that information, you can convert the logarithm into "normal" form:

[tex]10^{-3}=x^{123}[/tex]

The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.

Now, just solve for x:

[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]

That's about as simplified as it gets, unless you want this:

[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]

Thats 10^(3/125), numbers got very small.

I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.

Help I need this quick!!

Answers

T(x) = 3x³ - 2x² - 6x - 5

T(2) = 3(2)³ - 2(2)² - 6(2) - 5

T(2) = 3(8) - 2(4) - 12 - 5

T(2) = 24 - 8 - 17

T(2) = 16 - 17

T(2) = -1 (B.)

Find the measures of the interior angles of the triangle.

Answers

Answer:

Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...

Step-by-step explanation:

Help please I’m going to be in big trouble

Answers

The answer is b I believe if not I’m so sorry

Help me Pls

NONSENSE=REPORT
REAL ANSWER=BRAINLIEST+HEART​

Answers

PLACE VALUE. VALUE

6. Hundreds. 200

7. Ones. 1

8. Hundreds. 0

9. Hundreds. 800

10. Tens. 60

What is the value of x in the triangle?

Answers

[tex]cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26[/tex]

Use cross multiplication to solve this equation. Steps must be shown pls. (Get T alone and on the other side of the equation.)
t/4 = 1/5

Answers

Answer:

T = 4/5

Step-by-step explanation:

t/4 = 1/5

x4    x4

t = 4/5

Hope this works.

Answer:

4/5

Step-by-step explanation:

t/4 = 1/5

5t = 4

t = 4/5

yeah-ya.... right?

How do we check an answer to an algebraic equation to make sure that it is correct?

Answers

Determine whether a number is a solution to an equation.

Substitute the number for the variable in the equation.Simplify the expressions on both sides of the equation.Determine the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

- BRAINLIEST answerer

Answer:

substitute the value you solve the variable for back into the original equation and see if the left and right sides of the equation are equal

Step-by-step explanation:

let's say you have this equation:    

2x - 10 = 26

solve by first adding 10 to each side to get:

2x = 36

now divide each side by 2 to get:

x = 18

to check, substitute 18 in for 'x' in the original equation to see if the left side equals the right side of the equation:

2(18) - 10 = 26

36 - 10 = 26

26 = 26

we know our answer is correct

Other Questions
How does the author develop Peters character in the passage? A. by including details that show his interaction with the narrator B. by describing Peters thoughts about the newspaper C. by describing his physical appearance D. by including Peters dialogue about the newspaper Three business partners, Ren, Jaffary and Abel put money into a business in the ratio 2:3:4. From the profits they shared, Abel got 3400 dollars. How much did ren and Jaffary receive?HELP GUYS PLS I HAVE 3 MIN TO GO Which expression is equivalent to 4(6 - 2x) ? 3. One leg of a right triangle measures 10 inches while the other leg measures 21 inches. What is the length of the hypotenuse?A) c = 9inB) c = 11inC) c = 12inD) c = 7in4. If the length of the hypotenuse is 10m and its base leg is 6m, what is the length of its remaining leg?A) a = 8mB) a = 9mC) a = 12mD) a = 10m5. The altitudes of a right triangle has a length of 32cm. Its hypotenuse measures 9cm. How long is its base leg?A) b = 5cmB) b = 7cmC) b = 6cmD) b = 9cm6. Ben pushes a stick in the ground next to a flag pole so that its measure from the ground is 1 foot. The stick casts a shadow of 4 feet while the flag pole casts a parallel shadow of 60 feet. How tall is the What does Newton's third law describe?A) the tendency of stationary objects to remain at rest. B) How the force applied to an object is related to a change in its motion. C) The four fundamental forces of nature. D) The forces between two objectsThanks!! Graded AssignmentWrite a Descriptive Poem or EssayRefer to the Write a Descriptive Poem or Essay Notebook document and follow the steps to complete the assignment.the essay can be about anything descriptive. Judicial review allows the modern Supreme Court to act as which of the following? Select one:a.A guide to acceptable legislationb.The final authority on legislationc.The chief referee of the U.S. political systemd.The keeper of the Constitution If an object absorbs all the light that hits it, the object appears to be tell the number of decimal places that will be in the product1. 6.30.75=___2. 9.748.8=____3. 5.9662.15=___4. 37.68.3=____ Is this there gravity in space? Correct the misspellings in these sentences. ________ was the first phase of modern jazz in the postwar period. Group of answer choices Swing Bebop Cool jazz Hard bop The angle of incidence (5 points)must equal the angle of reflectionis always less than the angle of reflectionis always greater than the angle of reflectionmay be greater than, less than, or equal to the angle of reflection how to relieve chest tightness and shortness of breath Which of the following is(are) the solution(s) to |11x +3 = 6 ? Help please I really dont understand SOS Can someone pls help me! aggregate is a form of plagiarism that happens when Which aspects of life in Utopia would you find most appealing? Why? Please answer quick Healthcare costs will rise in the future because __________. A. A large group of people will become senior citizens B. Healthcare providers will charge more for certain types of patients C. All medicine will become generic and easily accessible D. Doctors will refuse to see patients who can't pay in cash Please select the best answer from the choices provided. A B C D.