All categories

3 years ago

What is the domain of this function?

Mathematics

1 answer:

sdas [7]3 years ago

4 0

$\text{We know}\ \sqrt{a}\ \text{is exist for}\ a\geq0.\\\\\text{Therefore the domain of}\ f(x)=3\sqrt{x-2}\ \text{is:}\\\\x-2\geq0\qquad\text{add 2 to both sides}\\\\\boxed{x\geq2\to x\in[2,\ \infty)}$

You might be interested in

Angie and Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package

Olin [163]

Angie buys

1 Software package + 3 months of game play.

Each software package costs = $20.

Let us assume cost of one month of game play = $x.

Therefore, total cost to Angie for 1 Software package + 3 months of game play = 20*1 + 3x = 20 +3x.

Kenny buys

1 software package + 2 months of game play.

Therefore, total cost to Kenny for 1 software package + 2 months of game play = 20*1 + 2*x = 20+2x.

Their total cost = $115.

Adding their costs and set it equal to 115, we get

Now, we need to solve it for x.

40 + 5x = 115.

5x = 115 - 40.

5x = 75.

Dividing both sides by 5, we get

x= 15.

<h3>Therefore, $15 is the total cost of one month of game play.</h3>

6 0

3 years ago

Pls help me this is a huge packet

Darina [25.2K]

Is there only choices A and B?

From the choices I can see you don’t even have to do any work. The equation starts with (y =). This indicates you will be working with the y intercept. The y intercept is simply where the line crosses on the y axis. In this graph, the y intercept is 2.5. Out of your choices (A and B that I can see) only one contains + 2.5.

B is your answer UNLESS there are choices c and d that are cut out.

4 0

4 years ago

Seven more than the product of a number and 5 equals 2 . Use the variable c for the unknown number.

svetoff [14.1K]

Answer:

Equation: 5c + 7 = 2

Solution: The number is -1.

Step-by-step explanation:

The unknown number is c.

"the product of a number and 5" is 5c

"Seven more than the product of a number and 5" is 5c + 7

"Seven more than the product of a number and 5 equals 2" is 5c + 7 = 2

The equation is

5c + 7 = 2

To solve, we first subtract 5 from both sides.

5c + 7 - 7 = 2 - 7

5c = -5

Now divide both sides by 5.

5c/5 = -5/5

c = -1

Answer: The number is -1.

7 0

4 years ago

Does anyone know the answer? If so how did you get the answer.

Lana71 [14]

So if I remember correctly, so it tells you that the area is 96 ft and we have to find X. We already have two of the measurements and if 96 ft is the area (total) then we have to figure out the missing measurement that will add up with the other two to equal 96 ft. So what I did was that I added up 20 ft and 16 ft= 36 ft. So then you just minus 36 ft from 96 ft to get your answer (X) so X= 60 ft

8 0

3 years ago

Read 2 more answers

Answer this question. please

dimaraw [331]

Answer:

$\boxed{\textsf{ The total surface area of the cuboid is \textbf{62 cm} $\sf ^2$ .}}$

Step-by-step explanation:

Given that the base area of the cuboid is 7cm² . And it's volume is 21cm³ . We need to find its total surface area . Now here we need to find the height . We can find height as ,

Height :-

$\qquad\boxed{\boxed{\sf Height =\dfrac{ Volume}{Area } }}$

$\sf\implies Height =\dfrac{Volume}{Area} \\\\\sf\implies h =\dfrac{ 21cm^3}{7cm^2}\\\\\implies \boxed{ \pink{\frak { Height = 3 cm.}}}$

$\rule{200}2$

Let's find out the Total surface area .

TSA of cuboid :-

$\qquad\boxed{\boxed{\sf TSA_{(cuboid)} =2(lb + bh + hl ) }}$

Put on the respective values :-

$\sf\implies TSA_{(cuboid)}= 2( lb + bh + hl )\\\\\sf\implies TSA_{(cuboid)}= 2( 7cm\times 1cm + 1cm\times 3cm + 3cm \times 7 cm ) \\\\\sf\implies TSA_{(cuboid)}=2 ( 7cm ^2+3cm^2+21cm^2 ) \\\\\sf\implies TSA_{(cuboid)}= 2\times 31cm^2 \\\\\sf\implies \boxed{\pink{\frak{ TSA_{(cuboid)}= 62 cm^2}}}$

3 0

3 years ago

Read 2 more answers