Identify any reasonable constraints on the domain.
Describe the domain using inequality or set-builder
notation. SEE EXAMPLE 3
19. Cameron earns an hourly wage at his job. He
makes a table of the number of hours he works
each week and the amount of money he earns.

Identify Any Reasonable Constraints On The Domain.Describe The Domain Using Inequality Or Set-buildernotation.

Answers

Answer 1

The domain should be non-negative since time cannot be negative.

If the number of hours worked is [tex]h[/tex], the domain in inequality notation is [tex]h \geq 0[/tex].


Related Questions

What is the y intercept?

Answers

Answer:

0

Step-by-step explanation:

The y -axis intercept  also called the y intercept occurs when x = 0

y = 4/3 x    put in x = 0

y = 4/3 (0) = 0

Answer:

The y-intercept is 0.

Step-by-step explanation:

The y-intercept is where the graph meets the y-axis.

15 divided by 5 plus 8 plus 2 times 8 using pemdas

Answers

Answer:

19

Step-by-step explanation:

P.E.M.D.A.S

2X8=16

15/5= 3

Answer:

27

Step-by-step explanation:

1) Write it out using operations

15 divide by 5 = 15 ÷ 515 ÷ 5 plus 8 = 15 ÷ 5 + 815 ÷ 5 + 8 plus 2 = 15 ÷ 5 + 8 + 215 ÷ 5 + 8 + 2 times 8 = 15 ÷ 5 + 8 + 2 × 8

2) Organise it into PEMDAS

P: There are no brackets

E: There are no exponents (powers)

M: We need to put  2 × 8 in brackets (to make sure we know what to do first

D: We need to put 15 ÷ 5 in brackets

A&S: As the numbers we need to add and subtract will be part of the brackets we can move on!

3) Solve!

First we need to do the brackets

2 × 8 = 1615 ÷ 5 = 3

Then the rest

3 + 8 = 1111 + 16 = 27

Hope this helps, have a great day!!

Ryan will drive his car in spain. the speedometer in the car shows the speed in miles per hour only. he will be driving on a road with a speed limit of 100 kilometres per hour. ryan uses this rule to find this speed in miles per hour.

Answers

Answer:

the conversion factor

Step-by-step explanation:

Please help me! I have 15 minutes of the test left

Answers

Answer:

(0,15) The time it take to fill the ball with air

Step-by-step explanation:

On edge 2022

Connie says an expression for the phrase "10 more
than the square of a number" is x2 + 10. Sharon says
it is 10x². Who is correct? Explain.

Answers

Answer:

Connie - [tex]x^{2} + 10[/tex]

Step-by-step explanation:

10 more means that you are adding ten to the square of x

each side of a square is increasing at a rate of 2 cm/s. at what rate is the area of the square increasing when the area of the square is 81 cm2?

Answers

The area of the square is increasing at a rate of 36 cm/s2.

What is the rate of expansion of a solid?

For physics, The term "thermal expansion" refers to a material's change in length, width, height, or volume when its temperature is raised or lowered. Solids exhibit particularly noticeable thermal expansion due to their closely packed atoms. There are numerous uses for the thermal expansion of solids in daily life.

A solid's atoms vibrate more quickly around their fixed positions when it is heated. As a result, there is little relative growth in the size of solids during heating. In order to prevent buckling when exposed to heat from the sun, metal train tracks feature tiny gaps.

Calculation

L = length of a side

A = L2

dA/dt = 2L dL/dt

dL/dt = 2 cm/s

A = 81 sqcm ⇒ L = √A = √81 cm = 9 cm

dA/dt = 2(9cm)(2 cm/s) = 36 sqcm

Hence the rate is the area of the square increasing is 36sqcm

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Using the rate of change of area ,

If the area of a square is 81 cm² the area of the square increases at a rate of 36 cm²/s.

Suppose that initially there were no squares, but suddenly squares began to form at a constant rate. At the end of the first second, the sides were 2 cm long each, and at the end of the second second they were 4 cm each. Therefore, we can say that the rate of change of increasing sides is 2 cm/s. If a square has a side of S cm, this is expressed mathematically.

dS/dt = 2 cm/s ---(1)

Since we know the area of the square is given by

A=S² cm²

the derivative of the area function shows the variation of area with respect to side S

dA/dS=2S

So , when area of square is 81 cm² , its side length is 9 cm. Since we need rate of change of area w.r.t. time, we need to multiply both the sides by dS/dt .

dA/dS×dS/dt=2S×dS/dt

=> dA/dt=2S×dS/dt

=> dA/dt = 2×9 ×2 = 36 cm²/s

Hence, the required area increasing rate is 36 cm²/s.

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The lengths of the four sides of a quadrilateral (in feet) are consecutive even integers
If the perimeter is 92 feet, find the value of the longest of the four side lengths.

Answers

The value of the longest of the four side lengths is 26 feet.

How to calculate the value?

Let the integers be x, x + 2, x + 4 and x + 6.

Since the perimeter is given as 92 feet. This will be:

x + x + 2 + x + 4 + x + 6 = 92

4x + 12 = 92

Collect like terms

4x = 92 - 12

4x = 80

Divide

x = 80 / 4

x = 20

The longest side will be:

= x + 6.

= 20 + 6.

= 26 feet.

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Select all the values of x that make the equation |3x + 4| − 9 = 0 true.

A. 1 2/3
B. −1 2/3
C. 4 1/3
D. −4 1/3
E. 5 2/3
F. −5 2/3

Answers

Answer:

A and D

Step-by-step explanation:

|3x + 4| − 9 = 0

|3x + 4| = 9

3x+4 = 9 v 3x+4 = -9

3x=5 v 3x=-13

x=⁵/₃ v x=-¹³/₃

x=1 ²/₃ v x=-4¹/₃

Estimate the difference.
17.98-2.596

Answers

Answer:

15.4

Step-by-step explanation:

Round: 17.98 to 18 and 2.596 to 2.6


Do the math: 18-2.6=15.4


Conclusion: We rounded the numbers (17.98 to 18 and 2.596 to 2.6). Then we did the subtraction and got our answer.


Therefore, your answer is 15.4.

15.4 because you can round the number after

A line passes through the point (10,2) and has a slope of -3/2

Write an equation in point-slope form for this line

Answers

Answer:

y=-1,5x+17

Step-by-step explanation:

(10,2) => x=10, y=2

a - slope

a=-1,5

y=ax+b -linear equation

2=(-1,5)*10+b

2=-15+b

b=17

y=-1,5x+17

Rasheed has two and three-fourths cups of berries. He uses four-sixths of a cup of berries to make a milkshake. He then uses one-half of a cup of berries. After he makes his milkshake and muffins, how many cups of berries will Rasheed have left?

A. four-eighteenths cups
B. sixteen twenty-fourths cups
C. one and five twenty-fourths cups
D. one and seven-twelfths cups

Answers

For the given condition after he makes his milkshake and muffins, one and seven-twelfths cups of berries will Rasheed have left. Option D is correct.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Rasheed has two and three-fourths cups of berries. He uses four-sixths of a cup of berries to make a milkshake. He then uses one-half of a cup of berries.

The number of cups of berries will Rasheed has left is found by subtracting the total used amount from the total amount,

=2 3/4-(4/6+1/2)

=11/4-(4/6+1/2)

=11/4 - 7/6

=19/12

=1 7/12

1.58

Thus, for the given condition after he makes his milkshake and muffins, one and seven-twelfths cups of berries will Rasheed have left. Option D is correct.

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How do I make sure a parabola(quadratic function) equation goes through specific points using standard form? An example is an equation that goes through the points (-4,0), (3,0) and (2,-18).

NO TROLLS, PLEASE!

Answers

An equation that goes through the given points is  [tex]y=3x^{2} +3x-36.[/tex]

What is the parabola equation?

A parabola is a graph of a quadratic function. An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Given points are (-4,0), (3,0), and (2,-18).

The equation of a parabola is [tex]y = \frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2}[/tex]

Since the point (−4,0) lies on the parabola, then [tex]0 = \frac{1}{4 \left(f - k\right)} \left(-4 - h\right)^{2} + k[/tex]

Since point (3,0) lies on the parabola, then [tex]0 = \frac{1}{4 \left(f - k\right)} \left(3 - h\right)^{2} + k[/tex]

Since point (2,−18) lies on the parabola, then [tex]-18 = \frac{1}{4 \left(f - k\right)} \left(2 - h\right)^{2} + k[/tex]

Solving the above all three systems, we get that [tex]h= -\frac{1}{2} , k = - \frac{147}{4}, f = -\frac{110}{3}[/tex]

Substituting the above value in the equation of a parabola, we get

The standard form is  [tex]y=3x^{2} +3x-36.[/tex]

Hence, the required equation is [tex]y=3x^{2} +3x-36.[/tex]

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Is (–4, 10) a solution to the equation 10 – 5x = y? Explain your answer.

Answers

(-4,10) is not a solution to the equation 10- 5x=y

Substitute/ Replace the x and y variable with their equivalent values. In this scenario x= -4 and y= 10. Now you have 10- 5(-4)=10.
Now solve as is, -5 times -4 is 20. 20+10=30, not 10.
So this is a INVALID statement.

292500 to the nearest 1000

Answers

Answer:

293,000.

Step-by-step explanation:

Just round to the nearest thousandth, and add 500 since you originally had 292,500.

Answer:

Step-by-step explanation:

292500 to the nearest 1000 is 293000.

what is \left \{ {{7x-9y=-30} \atop {-3x-6y=3}} \right using substitution

Answers

Answer:

[tex]x=-2\frac{9}{23} , y=\frac{16}{23 }[/tex]

Step-by-step explanation:

7x - 9y = -30 ------ equation (1)

-3x - 6y = 3 ------ equation (2)

From equation (2),

3x + 6y = -3

 x + 2y = -1

      ∴ x = -2y - 1 ------ equation (3)

Substitute equation (3) into equation (1):
7(-2y - 1) - 9y = -30

-14y - 14 - 9y = -30

             -23y = -16

               23y = 16

∴ y = [tex]\frac{16}{23}[/tex]

Substitute y = [tex]\frac{16}{23}[/tex] into equation (3):

x = -2([tex]\frac{16}{23}[/tex]) - 1

  = -[tex]\frac{32}{23}[/tex] - 1

  = -[tex]\frac{55}{23}[/tex] = -[tex]2\frac{9}{23}[/tex]

what is X?
NOTE: Angles not necessarily drawn to scale.

Answers

Answer:

x=60

Step-by-step explanation:

180 = 100 + 20 + x

180 = 120 + x

-x = 120 - 180

-x = -60

x = 60

Answer:           bro you gotta figure dis out

Step-by-step explanation:hhahahahahahahahahahaahahhaha

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the value of x?
21

38°
21
Drawing not to scale

Answers

The measure, x, which is of one of the base angles of the isosceles triangle in the question is 71°

The value of x is 71°

What is an isosceles triangle?

An isosceles triangle is a triangle that has congruent base angles

The description of the specified triangle mare as follows;

The length of the sides are;

21 and 21

Therefore;

The triangle is an isosceles triangle

The base angles of an isosceles triangle are congruent, therefore;

The measure of the  angle adjacent the angle x is also m∠x

Which indicates;

38° + x° + x° = 180° (Angle sum property of a triangle)

38° + 2·x°  = 180°

2·x° = 180° - 38° =  142°

x = 142° ÷ 2 = 71°

x = 71°

The measure of the angle x is 71°

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e.) if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour explain ?

pa help plsss with explanation

Answers

If the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour it is not possible.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

if the car's speed is 65 kilometers per hour, if it possible that the bus speed 75 kilometers per hour

Time = 2 hours

Distance = speed x time

Distance(for car ) = (65)(2) = 130 km

Distance(for bus ) = (75)(2) = 150 km

Total distance = 130 + 150 = 280 km

But the distance between car and bus is 350 km.

Thus, if the car's speed is 65 kilometers per hour if it possible that the bus speed 75 kilometers per hour it is not possible.

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perfect square number is closer to 11

Answers

Answer:

9

Step-by-step explanation:

3 x 3 = 9

4 x 4 = 16

16 - 11 = 5

11 - 9 = 2

2 is less than 5 which makes it closer to 11.

Answer:

Ans = 9

Step-by-step explanation:

3 x 3 =9

4 x 4 =16

2 x 2 =4

help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

From the given exponential function  y = 7.1(1.03)ˣ, the amount produced in 2006 was approximately 7.8 billion pounds and the estimated amount in 2014 will be approximately 9.8 billion pounds

Exponential Function

An exponential function is a function of form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

In the function given;

y = 7.1(1.03)ˣ

x = number of years after 2003

a) What is the estimated number in 2006

x in 2006 = 3

x = 3

Insert the values into the formula above;

y = 7.1(1.03)³

y = 7.76 ≅ 7.8 billion pounds

b)

The cheese produced in 2014

x in 2014 = 11

Insert in the value and solve

y = 7.1(1.03)¹¹

y = 9.83 ≅ 9.8 billion pounds

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Graph f(x)=3x+4 and h(x)=f(x+3). pls

Answers

The graph of f(x) = 3x + 4 and h(x) = f(x + 3) are attached.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A linear function is represented as:

y = mx + b

Where m is the slope (rate of change) and b is the initial value of y.

f(x) = 3x + 4

h(x) = f(x + 3) = 3(x + 3) + 4 = 3x + 9 + 4

h(x) = 3x + 13

The graph of f(x) = 3x + 4 have a slope of 3 and y intercept of 4, while the graph of h(x) = f(x + 3) have a slope of 3 and y intercept of 13.

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An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots)., Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 9.
Event B: The sum is an odd number.
Write your answers as fractions.

Answers

5/36 is the probability  that the sum will be bigger than 9, and 9/36 is the likelihood that the number will be divisible by either 5 or 6.

How to calculate a probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Probability has been incorporated into mathematics to predict the likelihood of different events.

Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.

Given ,

It may take the following forms:

(4,6),(5,5),(5,6),(6,5),(6,6)

The likelihood that the total exceeds 9 is 1/36+1/36+1/36+1/36+1/36

=5/36.

B) It can occur in the following ways:

(1,4),(4,1),(3,3),(3,2),(4,2),(5,1),(1,5),(6,4),(4,6)

the probability that the number is getting divisible by 5 or 6 or both is

1/36 +8 times

=9/36

Hence the probabilities are5/36 and 9/36.

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HELP I DONT UNDERSTAND

Answers

Answer is x=2

Step by step.
They are using tiles to represent “x” variable and # constants.

See
3x tiles and 8 constants = 4 x tiles + 6 constants

So

3x + 8 = 4x + 6

Subtract 4x from both sides to isolate x

3x - 4x + 8 = 4x - 4x + 6
Combine

-1x + 8 = 6

Now subtract 8 from both sides

-1x + 8 -8 = 6 - 8
Combine

-1x = -2

x = 2

b. Find the zeros of the function D(k) and make a sketch of its graph.

Answers

Put the equation equal to zero and solve for x.

What is the equation of the line in slope-intercept form?

Answers

Answer:

Step-by-step explanation:

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

Answers

Answer:

  7.8

Step-by-step explanation:

You want the distance between P(8, 2) and Q(3, 8).

Distance between points

The distance between points is given by the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((3 -8)² +(8 -2)²) = √((-5)² +6²) = √61

  d ≈ 7.8

The distance between points P and Q is about 7.8 units.

__

Additional comment

You will notice that the desired distance is the length of the hypotenuse of a right triangle with legs that are 5 and 6. The Pythagorean theorem tells you that length is √(5² +6²) = √61, as above. The distance formula is based on the Pythagorean theorem.

You can find the relevant triangle leg lengths by counting grid squares on the graph. Of course, the distance formula does the same thing by subtracting coordinate values.

The points (-1 14) and (2 r) lie on a line with slope -2. Find the missing coordinate r.

Answers

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{14})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{r}) \hspace{5em} \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{14}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-2} \\\\\\ \cfrac{r-14}{2+1}=-2\implies \cfrac{r-14}{3}=-2\implies r-14=-6\implies r=8[/tex]

e) (3x + 2x)(3x + 4xy + 2)

Answers

Answer:

20xy^2 + 15x^2 + 10x

Step-by-step explanation:

Write the equation for the logarithmic function that has the following transformation from the parent logarithmic function. The function will have a base of 10. You will not have to write the 10. It is assumed.

shifted 3 units left
vertical compression by a factor of 2
reflected across the y-axis
shifted down 5 units


please help

Answers

The equation for the logarithmic function that has the following transformation from the parent logarithmic function. The other factors are mentioned in the answer below.

What is a logarithmic function?

An essential tool for arithmetic calculations is the logarithmic function. John Napier, a Scottish mathematician, physicist, and astronomer, made the discovery of logarithms in the 16th century. It has a wide range of uses in complex scientific and astronomical calculations. Exponential functions and logarithmic curves are closely related, and the latter is thought of as the inverse of the former.

Parent function is y = log x

1. Shifted 3 units left,

y = log (x+3)

2. The vertical compression by a factor of 2,

y = 2 log(x+3)

3. Reflection across the y-axis,

y = 2 log(-x+3)

4. Shifting down by 5 units,

y = 2 log(-x+3)-5

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Movie ticket cot $8 for regular admiion and $5 for tudent. For a particular movie, 48 ticket are old and the amount collected for the ticket wa $300. Find the number of ticket old to tudent. Find the number of ticket old at regular price. Set up a ytem of 2 equation with 2 variable to olve thi problem

Answers

The number of tickets sold at a regular price is 20.

The linear equation:

an algebraic equation of the form y=mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Let x be the number of regular admission and y be the number of students.

The first statement is 48 tickets are sold. By this we get the first equation:

x + y = 48 ----------(1)

The second statement is the total collection for the ticket is $300. Form this we get the second equation:

8x + 5y = 300 --------(2)

Multiplying the equation by 5 we have:

5x + 5y = 240 --------(3)

Now subtracting equation (3) from (2) we get:

3x = 60

x = 20

Therefore we get that the ticket sold at regular price is 20.

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