If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)? startroot one-half x endroot greater-than-or-equal-to 0 one-half x greater-than-or-equal-to 0 one-half x minus 10 greater-than-or-equal-to 0 startroot one-half x minus 10 endroot 3 greater-than-or-equal-to 0

Answers

Answer 1

A function assigns values. The inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The domain of a function is a set of values for which the equation is satisfied. Since the function has under root values, the value which is under the root should be non-negative so that it does not give a complex number,  therefore,

The inequality [tex]\sqrt{\dfrac12x^2-10}\geq 0[/tex]satisfied to find the domain of the function f(x).

Also, we can write that 0.5x²-10≥0 for the value to be positive.

Hence, the inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.

Learn more about Function:

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Related Questions

Please help!! Will mark brainlyest.

Answers

Answer:

Reflected on the Y axis

Step-by-step explanation:

x axis is 0, while y axis is both 7 and -7.

Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8 feet. Andrew has decided to make the base of the ramp and the piece of the ramp that forms the height meet at a 90° angle. The third piece of the ramp will be a straight line connecting the highest point of the ramp to the furthest point of the base, forming a 30° angle across from the 8 foot piece of the ramp. What will be the length of the third piece of the ramp?
A. 13.86 feet
B. 10 feet
C. 16 feet
D. 9.24 feet

Answers

im not just answering for points now this is on g00gIe this the answer is 9.24

IF SAM BUY'S A CHOCOLATE AT PRICE 8 DOLLER AND SELLS THE CHOCOLATE AT PRICE 8.5 DOLLER. HOW MUCH CHOCOLATE WOULD SAM HAVE TO SELL TO MAKE A PROFIT 25 PERCENT.

Answers

Answer:

................... Sam should sell 25 chocolate

Step-by-step explanation:

hahaha

ryan bought a wii game for 34.00 at the mall. he had to pay 6 % sales tax. How much did he pay in all

Answers

Answer:

$36.04

Step-by-step explanation:

34 * 1.06 = 36.04

solving quadratic inequalities

Answers

Answer:

[tex]\boxed{\sf x < -3\quad \mathrm{or}\quad \:x > -1}[/tex]

Step-by-step explanation:

[tex]\sf x^2+4x+3 > \:0[/tex]

In order to solve inequality, we need to factor the left hand side. we can use the transformation [tex]ax^2+bx+c=a(x-x_1)(x-x_2)[/tex] to factor quadratic polynomials. where  x(1) & x(2)  are the solutions of the quadratic equation  ax²+bx+c=0 .

[tex]\sf x^2+4x+3=0[/tex]

Quadratic formula:-

[tex]\boxed{\sf x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1\\b=4\\c=3[/tex]

[tex]\sf \cfrac{-4\pm \sqrt{4^2-4\times \:1\times \:3}}{2\times \:1}[/tex] ← Calculate

[tex]\sf \sqrt{4^2-4\times \:1\times \:3}=\boxed{2}[/tex]

[tex]\sf \cfrac{-4\pm \:2}{2\times \:1}[/tex]

Now, let's Separate the solutions,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1},\:x_2=\cfrac{-4-2}{2\times \:1}[/tex]

Do the calculations,

[tex]\sf x_1=\cfrac{-4+2}{2\times \:1}=\boxed{-1}[/tex]

[tex]\sf x_2=\cfrac{-4-2}{2\times \:1}=\boxed{-3}[/tex]

[tex]\boxed{\sf x < -1\quad \mathrm{or}\quad \:x > -3}[/tex]

Last Question HELP

What is the inverse of `y = 5x + 7

Show Steps!

Answers

Answer:

[tex]\sf y' = \dfrac{x-7}{5}[/tex]

Explanation:

⇒ y = 5x + 7

⇒ 5x + 7 = y

⇒ 5x = y - 7

⇒ x = (y-7)/5

replace x with y

⇒ y' = (x-7)/5

y=5x+7

Take this and solve for x

5x=y-7x=y-7/5

Interchange y and x

y=x-7/5

So

The inverse is

[tex]\\ \rm\dashrightarrow y^{-1}(x)=\dfrac{x-7}{5}[/tex]

La siguiente tabla presenta las frecuencias absolutas y relativas de las distintas caras de un dado cuando se simulan 300 lanzamientos en una página web: Si ahora se simulan 600 lanzamientos en la misma página web, Marcos cree que la frecuencia relativa de la cara con el número 6 será 0,36, porque se simula el doble de los lanzamientos originales. Por otro lado, Camila cree que la frecuencia relativa de la cara número 6 se acercará más al valor 0,166, tal como el resto de las frecuencias relativas de la tabla

Answers

La opinión correcta es la de Camila que argumenta que la frecuencia relativa de la cara con el #6 será un valor cercano a 0,166.

Qué es la frecuencia relativa?

La frecuencia relativa es un término matemático que se utiliza en la estadística para referirse al número de veces que un evento se repite durante un experimento.

Por otra parte, es necesario aclara que la frecuencia relativa no se modifica en gran medida si se aumenta el número de veces de una prueba, debido a que la probabilidad de ocurrencia de este evento va a ser la misma.

De acuerdo a lo anterior, Camila tiene razón debido a que considera que el valor de la frecuencia relativa no se modifica en gran medida entre 300 o 600 lanzamientos de los dados.

Nota: Esta pregunta está incompleta porque no está la tabla. No obstante, la puedo responder basado en mi conocimiento previo.

Aprenda más sobre probabilidad en: https://brainly.com/question/16019390

What is 6 3/4 times 3 1/2 divided by 3 3/5 divided by 3 3/4?

Answers

Answer:

1.75

Step-by-step explanation:

Should be about 1.75

Which statement is true?

Answers

We will see that the fourth statement:

"-0.3*|3 + 8x| = 0.9 has no solutions."

Is the true statement.

Which statement is true?

Here we need to see which statement regarding absolute value equations is true.

Here you can see that the fourth statement is:

-0.3*|3 + 8x| = 0.9   has no solutions.

Now, if you look at the left side of the above equation, the left side will always be negative, while the right side is positive, then the equation can't have a solution.

There is no value of x that makes that equation true, so it is true that the given equation has no solutions. This is the correct statement.

If you want to learn more about absolute values, you can read:

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Which property was used to simplify the expression?
3c+9+4c+=3c+4c+9


distributive property
commutative property
associative property
inverse property

Answers

Answer:

  (b)  commutative property

Step-by-step explanation:

The "simplified" expression has the positions of the last two terms in the sum swapped. The property of addition that lets you change the order of the terms is the commutative property of addition.

Shade 2/3 of this grid

Answers

Answer:

The answer is in the attachment

Step-by-step explanation:

!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Step-by-step explanation:

Hope its helpful for you!!

Someone earned 24$ in two years by investing 400$ what is the simple intrest

Answers

25 multi 400 85300 answer

Harry's kitchen table is round and has a radius of 2 feet. What is the tabletop's diameter?

Answers

Answer:

4

Step-by-step explanation:

An object's radius is half of the object's diameter.

Solving for diameter

d = r * 2

Solving for radius

r = d/2

d = r * 2

  = 2 * 2

  = 4

The diameter of Harry's table is 4 feet.

The dimensions of a rectangle are:
-8x and -7x
Write the simplified expression for the rectangle's area.

Answers

Step-by-step explanation:

area=L×W

so

Area= (-8x)(-7x)

= 56x^2

A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded region?

Answers

option C

47.5 cm²

hope it helps...!!!

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. What is the perimeter of the parking lot

Answers

The shopping center has a parking lot that is 210.12 feet by 155.13 feet. The perimeter of the parking lot is 730.5 ft. P = 2(l + w); P = 2(210.12 + 155.13); P = 2(365.25); P = 730.5

Answer:

Step-by-step explanation:

b is the answer i first i was confused with the other answer but its b

What type of triangle is defined by the following set of side lengths

11, 9 , 7



Acute


Obtuse


Right


Not a triangle

Answers

Answer:

ACUTE TRIANGLE

Step-by-step explanation:

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.

Therefore, the triangle with sides 11, 9, and 7 is an acute triangle since 9² + 7² is greater than 11²

[tex] {9}^{2} \: + \: {7}^{2} > \: {11}^{2} \\ 130 > 121[/tex]

Please help
Find the area of each triangle.


Answers

Answer:

c is 7

Step-by-step explanation:

becuase 4x4=16 then u divide 16\2=7

                                                   

Please help me asap

Answers

Answer:

One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.

Step-by-step explanation:

432.4 galloons in total in 4 tanks

432.4 : 4

? : 1

432.4/4=108.1, so 108.1 gallons in each tank

Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.

d = 6 m.

Calculate the circumference of the circle.

Answers

Step-by-step explanation:

circumference = 2 pi r = 2 r pi

= d pi

= 6 × 3.14 = 18.84

Please help me with this question.

Answers

Answer:

C

Step-by-step explanation:

C, because the second line keeps adding 6 to it and, the third line keeps adding 7.

i need assistance with math pls show your work to

Answers

Answer:

x = 7.5, x = -5

Step-by-step explanation:

1. Plug a(2), b(-5), and c(-75) into the qudratic formula:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{(-5)^{2}-4(2)(-75) } }{2(2)}[/tex]

2. Find the square:

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25-4(2)(-75) } }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-\sqrt{25+600} }{2(2)}[/tex]

[tex]x_{1,2} =\frac{-(-5)+-25 }{4}[/tex]

3. Separate the solutions:

[tex]x_{1} = \frac{-(-5)+25}{4} , x_{2} =\frac{-(-5)-25}{4}[/tex]

4. Solve for both:

[tex]x_{1} =\frac{5+25}{4} \\\\x_{1} =\frac{30}{4} \\\\x_{1} =\frac{15}{2}\\\\x_{1} =7.5[/tex]

--------------------

[tex]x_{2} =\frac{5-25}{4} \\\\x_{2} =\frac{-20}{4} \\\\x_{2} =-5[/tex]

In conclusion, the solutions are x = 7.5 and -5.

hope this helps!

If Angie spins the spinner 250 times, predict the number of times it will land on green.
Outcome Freq. Red 4 Green 10 Blue 6

Answers

Answer: 2500

Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.

Choose Your Own Solution
3x + 8 = 3x +?

What would make it true for just one value of x?

Answers

Answer:

Your answer would be

x = 8

Which of the following is true? (8th Math)

Answers

A. There is an infinite amount of solutions

This is true because when simplifying the two equations you end up with 0=0 making all real numbers a solution to the equation

Hello! anyone???

[tex]please \: see \: the \: picture \: [/tex]

Answers

Answer:

7

Step-by-step explanation:

I assume x with dash on top is mean

The sum of all x's is 175 and there are 25 x's.

To find the mean:

175/25 = 7

Can someone help me with this pls

Answers

Answer:

10^4 * 4^5

Step-by-step explanation:

4^5 and 4^10 cancell out by the rule of exponents, so the denominator becomes 1. what is left is 10^4 * 4^5 in the denominator.

Answer:

[tex]{10^4*4^5}[/tex]

Step-by-step explanation:

Use the Qoutient of Powers Property: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]\frac{10^4*4^{10} < ==a^m}{4^5 < ==a^n}\\\\{10^4*4^{10-5}}\\\\{10^4*4^5}[/tex]

Hope this helps!

Two solids are described in the list below.

• One solid is a sphere and has a radius of 6 inches.

• The other solid is a cylinder with a radius of 6 inches and a height of 6 inches.

What is the difference between the volumes, in cubic inches, of the solids in terms of it?

Answers

Answer:

72pi

Step-by-step explanation:

What is 18x98 and if you were to choose between which one would you choose A)1764 B)1976 C)5676 Thank you!

Answers

Answer:

1764

Step-by-step explanation:

10 x 98 = 980

8 x 98 = 784

980 + 784 = 1764

Answer:

I would choose A) 1764

Step-by-step explanation:

I know this because I used a calculator;)

Landon Wallin is an auto mechanic who wishes to start his own business. He will need ​$4100 to purchase tools and equipment. Landon decides to finance the purchase with a 60​-month fixed installment loan with an APR of 6​%.
​a) Determine​ Landon's finance charge.
​b) Determine​ Landon's monthly payment.

Answers

Answer:

a.$1230

b.$20.50

Step-by-step explanation:

Assuming Landon only makes the minimum payments for the sixty months this is how you would find it

Multiply loan by percentage over the five years: 4100 x .3 = 1230

Then divide that amount by months paid: 1230/60= 20.5

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