The domain of a function can be represented by which one of the following
options?
A. a set of F(x) values
B. a set of both input and output values
C. a set of input values
D. a set of output values

Answers

Answer 1

Answer:  C. a set of input values

The domain is the set of allowed x values, aka input values.

With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.

Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.

Other types of domain problems can occur, but those two types are most common in my experience.


Related Questions

Help please! Need this answered quick!

Answers

Answer:

3.6

Step-by-step explanation:

the ratio of AB to AD is 3/5 so the ratio of BC to DE is also 3/5, therefore BC=3/5 DE= (3/5)6= 3.6

PLEASE HELP!! Important test!! Option 1 isn't coming up so if you could try to solve others that would be great!

Answers

Answer:

4

Step-by-step explanation:

Func 2 is -2

Func 3 is 1

Func 4 is 8

Func 1 is unknown

Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. What expression shows Anna and Damien how many chinchillas they have now?

Answers

Answer:

16!

Step-by-step explanation:

4 x 3 = 12 + 4 = 16

The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answers

Answer:

[tex]y = - \frac{3}{2} x + 1[/tex]

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

slope of given line

[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]

[tex] = \frac{0 + 3}{ - 2} [/tex]

[tex] = - \frac{3}{2} [/tex]

[tex]y = - \frac{3}{2} x + c[/tex]

Given that the y- intercept is 1, c= 1.

[tex]y = - \frac{3}{2} x + 1[/tex]

5(^ 1/5 +-4) 2(-4)(-0.8)^ 2

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} \frac{5(\frac{1}{5}+(-4) )}{2\cdot(-4) \cdot (0-0,8)^2} =\frac{^1 \ 5^{ }\!\!\!\!\diagup\cdot \frac{1}{5\!\!\!\!\diagup}-20 }{-8 \cdot 0,64 } = \\\\\\ \frac{-20+1}{-5,12} =\frac{-19}{-5,12} \cdot \frac{25}{25} =\frac{475}{128} =\boxed{\pmb{3\frac{91}{128} }}[/tex]

(06.01)

Write the following expression in exponential form:

1.6 × 1.6 × 1.6 × 1.6

41.6
1.64
1.6 × 4
1.6 + 4

Answers

Answer:

[tex]1.6^{4}[/tex]

Step-by-step explanation:

1.6 is multiplied by itself 4 times. This is represented in exponential form as

[tex]1.6^{4}[/tex]

the temperature of fridge compartment of a refrigerator is set at 8 °C . the fridge compartment is set at -10°C . what is difference between these temprature sittings​

Answers

Answer:

I don't understand the question, but I think its 18°

Step-by-step explanation:

what is the answer? I need help!! please and thank you

Answers

Answer:

B

Step-by-step explanation:

27%=0.27 and sqrt(2)<2.75

What is the image of (-3,6) when reflected in the x-axis?
A. (6,-3)
B. (-3, -6)
C. (3,-6)
D. (3, 6)

Answers

The new coordinates are ( -3 , -6) , Option B is the answer.

What is meaning of Reflection ?

Reflection means to create a mirror image of an object along any axis .

The shape and size of the object remains constant while reflection.

An object of coordinate ( -3 ,6) is given

This is reflected in the x axis .

When an object is reflected along any axis , the coordinate of that axis remains the same while the coordinate of the other changes to its additive inverse .

object  ( -3 ,6) is reflected along x axis ,

( x, y) ----> ( x , -y)

The new coordinates are ( -3 , -6)

Therefore Option B is the answer.

To know more about Reflection

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The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?

Answers

Answer:

The base cost of the camera, exclusive of sales tax, is $160.

Step-by-step explanation:

Set up this equation and solve for x, which is the cost of the camera:

$3.20 = $0.02x [0.02 = 2%]

Solve the equation by dividing $3.20 by 0.02. The answer is $160.

Answer: $160 for the camera

Step-by-step explanation:

0.2x160=3.2

$160

Find the total surface area. rectangular prism 4 A. 700 m² B. 3,040 m² C. 135 m² D. 1,308 m²

Answers

Answer:

D

Step-by-step explanation:

The opposite faces of the prism are congruent , then

SA = areas of (top/bottom + front/ back + 2 sides )

     = 2(19 × 16) + 2(19 × 10) + 2(16 × 10)

     = 2(304) + 2(190) + 2(160)

     = 608 + 380 + 320

     = 1308 m² → D

The total Surface Area is 1308 m²

What is total Surface area?

The total area occupied by the surfaces of an object is called its surface area. In geometry, different 3D shapes have different surface areas which can be easily calculated using the formulas that we will be learning in this article. The surface area is classified into two categories:

Lateral surface area or Curved surface areaTotal surface area

The total surface area of a prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area = (2 × Base Area) + (Base perimeter × height).

SA = areas of (top/bottom + front/ back + 2 sides )

= 2(19 × 16) + 2(19 × 10) + 2(16 × 10)

= 2(304) + 2(190) + 2(160)

= 608 + 380 + 320

= 1308 m²

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twice n
Algebraic expression

Answers

Answer and Step-by-step explanation:

2n is the algebraic expression for twice n.

#teamtrees #PAW (Plant And Water)

Someone explain what this means ?

Answers

Answer:

20 P 9 means selecting 9 objects (order matters) out of 20 objects.

So in this case, the eight choice of a line up of 9 has 13 options.

For example, think about it this way. The first choice has 20 options, 2nd has 19, and so on...

So the answer is 13

Let me know if this helps!

Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the point (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school

Answers

-1,5 is the correct answer here. 0+2, 4-4 then 2-3 0+5.

(2x2 + 1) + 3/2x2=1=4

Answers

Answer:

3(2×2+1)+3×(2×2)/3=1×3=4×3

36+3+4=3=12

36+3+4-3-12

43-15

28

a map of an amusement park is shown on a coordinate plane, where each square of the grid represents 1 square meter. The water ride is at (-17,12), the roller coaster is at (26,-8), and the Ferris wheel is at (2,20). Find each distance to the nearest tenth of a meter.
* what is the distance between the water ride and the roller coaster?
*What is the midpoint between the roller coaster and the ferris wheel? what is the distance from the midpoint to the ferris wheel

Answers

Answer:

Step-by-step explanation:

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal​

Answers

area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...

HOPE SO IT HELPS YOU

calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%

Answers

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

find the measure of the missing angles in the kite​

Answers

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

A is the point (0, 8) and R is the point (5, 6). Find the point Con the y-axis such that angle ABC is 90°​

Answers

Answer:

(0, -13/2) or (0, -6.5)

Step-by-step explanation:

a point on the y-axis means x=0.

so, the solution is a point (0, y).

and I assume (5, 6) is not R but is B.

for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :

c² = a² + b²

with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).

in our case, this c is the connection from A to C.

and a and b are the connections AB and BC.

so,

AC² = AB² + BC²

the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.

so, we get

(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²

(8-y)² = -5² + 2² + 5² + (6-y)²

64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²

64 - 16y + y² = 90 - 12y + y²

64 - 16y = 90 - 12y

-26 = 4y

y = -26/4 = -13/2 = -6.5

Marking brainliest

If a job interview says “tell me about yourself” what do u say

Answers

Answer:

I start to say from my name,age,family,qualifications and etc.

Answer:

In your response, do the following:

1. Mention past experiences and proven successes as they relate to the position.

Begin by rereading the job description. Take note of the required skills that you have, and identify recent stories that demonstrate them . Ideally, you should draw primarily from recent professional experience; however, volunteer work can also support your narrative while demonstrating a commitment to your community.

2. Consider how your current job relates to the job you’re applying for.

Is it a more senior role? If so, explain how you are taking on more responsibilities in your current position. If you are making a lateral transition to a role with different skills, describe how your current skills translate into the new position.

3. Focus on strengths and abilities that you can support with examples.

When you start building the script of each example, focus on details and outcomes that you can quantify if possible. For example, stating that you “improved customer service” is less impactful than “increased customer service response rates each quarter by 10–15%.” If you don’t have the exact information, estimate a realistic value.

4. Highlight your personality to break the ice.

Since the “Tell me about yourself” interview question is about getting to know you, it’s a good idea to share your personality with your interviewer—but not personal details. You may want to briefly mention hobbies that demonstrate intellectual development and/or community engagement (e.g., reading, music, sports league, volunteering) or those that showcase personal discipline and achievement (e.g., learning a new skill, training for a half marathon). Discussing personal interests is a good way to wrap up your response while maintaining a professional tone.

5. Format your response.

For your response to be clear and concise, you’ll want to make sure you organize your answer following a format or formula. There are two common formulas you may consider:

Present, Past, FuturePast, Present, Future

Both of these formulas work for your response, but you may choose one over the other based on the roles from your experience that are most relevant to the position you're interviewing for. For example, if your most recent role highlights many of the skills and qualifications that are required for the role you’re interviewing with, you may want to lead with the present. However, if you're making a career transition and your past experience is more closely related to the role than your current position, you may want to lead with your past.

solve the equation:
|x+3| >2x-1

Answers

Answer:

x < 4

Step-by-step explanation:

|x+3| >2x-1 [|a| is the absolute value of a]

x+3 > 2x-1

4 > x

Therefore,

x < 4

The negative case doesn't have equal RHS and LHS so, it isn't valid.

Given that line a is parallel to line b and that line c isparallel to line d, if m<13 = (12x – 22)° and m<14 = (9x – 29)°, find m<2

Answers

Answer:

∠ 2 = 70°

Step-by-step explanation:

∠ 13 and ∠ 14 are adjacent angles and sum to 180° , then

12x - 22 + 9x - 29 = 180

21x - 51 = 180 ( add 51 to both sides )

21x = 231 ( divide both sides by 21 )

x = 11

Then

∠ 14 = 9x - 29 = 9(11) - 29 = 99 - 29 = 70°

∠ 7 = ∠ 14 = 70° ( Alternate angles )

∠ 2 = ∠ 7 = 70° ( Alternate angles )

15. What is the length of segment FG

Answers

Answer:

10.49

Step-by-step explanation:

FG= squareroot(10)(11) =10.49 took quiz too

What is the answer when you evaluate m + p - p2 ÷ 6; use m = 5 and p = 6 ?

Answers

Answer:

5

Step-by-step explanation:

m + p - p^2 ÷ 6

Let m = 5 and p=6

5 + 6 - 6^2 ÷ 6

Exponents first

5 + 6 - 36 ÷ 6

Then divide

5 + 6 - 6

Then add and subtract from left to right

11-6

5

14 A curve has equation y=x2 - 6x² + 16. Find the coordinates of the two turning points.

Answers

Step-by-step explanation:

there is something wrong with your problem description.

you really mean x² - 6x² + 16 ?

or is it 2x - 6x² + 16 ?

in any case this would be a squared equation, which does not have 2 turning points.

we would need an equation with x³.

for that we would create the 1st deviation, which would be then a squared equation with 2 solutions, which would be the 2 turning points of the initial equation.

How to solve this question pls help asap

Answers

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle. What is true about triangle XYZ? Select three options.

Answers

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of creates two smaller isosceles triangles.

Step-by-step explanation:

Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.

x + x + 2x = 180°

x = 45°

2x = m∠Y = 90°

The triangle is an isosceles right triangle which has base angles of 45°.

The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°

Answer:

The answers are A B E

Step-by-step explanation:

Challenge: For a particular job, the Amax Employment Agency charges a fee that is equal to 15% of the first
month's pay. If the job pays X dollars annually, express the agency fee algebraically.

Answers

Answer:

0.0125x or x/80

Step-by-step explanation:

Salary: x dollars per year

To find the pay per month, we divide the annual pay by 12.

The monthly pay is x/12

15% of the first month's salary is

15% of x/12 = 0.15 * x/12 = 0.0125x = x/80

Answer: 0.0125x

Start from number 11 and keep adding 2 till you get to 201. how many times did you have to add 2 till you got to 201

Answers

Answer:

95 times

Step-by-step explanation:

201=11+(n)*2, 190=(n)*2, n=95

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