Write the domain as an inequality. Write the range as an inequality

Write The Domain As An Inequality. Write The Range As An Inequality

Answers

Answer 1

The Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

What are the Domain and Range?

Graphs can be used as another tool for determining the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values or range.

Domain:

The x-value at the farthest left point is at x = −2. Now continue tracing the graph until you get to the point that is the farthest to the right. The x-value at this point is at ∞. There are no breaks in the graph going from left to right which means it’s continuous from -2 to ∞.

Domain: [-2, ∞][−2, ∞] also written as −2 ≤ x ≤ ∞

Range:

Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y=0. Now, look at how far up the graph goes or the top of the graph. This is when x = ∞, but now we’re finding the range so we need to look at the yy-value of this point which is at y = 0. There are no breaks in the graph going from down to up which means it’s continuous.

Range: [0, ∞][0, ∞] also written as 0 ≤ y ≤ ∞.

Hence, the Domain and Range are −2 ≤ x ≤ ∞ & 0 ≤ y ≤ ∞ respectively.

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Related Questions

3. Find the x-intercept of y = 3.
(3,0)
(0,3)
(3,3)
O no x-intercept

Answers

Answer:

3

Step-by-step explanation:

x-y =3

To find the x intercept, set y=0

x-0 =3

x=3

Step-by-step explanation:

Answer:

x=(3,0)

Step-by-step explanation:

hope this helps

23a = 391 A. a = 16 B. a = 17 C. a = 8,939 D. a = 8,993

Answers

Answer:

Step-by-step explanation:

it is 17 i did the quiz hope it helps

help meeeeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee

Answers

Answer:

51.85g

Step-by-step explanation:

At t = 25 years,

A(t) = 200e^-0.054t

A(25) = 200(e^-0.054(25))

= 200(e^-1.35)

= 200(0.2592)

= 51.85

4.
20% of what number is 38?

Answers

Answer:

190

Step-by-step explanation:

If 38 is 20% then half of 38, 19, is 10%. With that you can divide 19 by 10 and get 1.9. If you take 1.9 and multiply it by 100 you get 190

Which inequality is represented by the number line?

A.
|2x + 1| ≥ 7
B.
2|x + 1| ≤ 8
C.
|2x − 1| ≥ 9
D.
2|x − 1| ≤ 10

Answers

The inequality represented by the graph is |2x − 1| ≥ 9

How to determine the inequality represented by the graph?

The number line represents the given parameter

On the number line, we have the following endpoints

x = -4 and x = 5

So, we test the above solutions in the list of options (representing them as an equation)

So, we have

|2x + 1| = 7

When x = -4

|2(-4) + 1| = 7 ⇒ 7 = 7 --- true

When x = 5

|2(5) + 1| = 7 ⇒ 11 = 7 --- false

2|x + 1| ≤ 8

When x = -4

2|(-4) + 1| = 8 ⇒ 6 = 8 --- false

|2x − 1| ≥ 9

When x = -4

|2(-4) - 1| = 9 ⇒ 9 = 9 --- true

When x = 5

|2(5) - 1| = 9 ⇒ 9 = 9 --- true

Hence, the inequality is (c) |2x − 1| ≥ 9

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Robi has 45 toy cars and 63 motorbike toys. The comparison between the difference and the number of toys that Robi has is​

Answers

Answer:

the answer is 18!

Step-by-step explanation:

63-45 = 18

just subtract the two values to get your answer. the difference is 18.

Hope this helps!

Solve the equation cos 2 θ = -5 cos θ - 3 on the interval 0 ≤ θ < 2π

Answers must be exact.

Answers

Answer:

[tex]\theta =\dfrac{2}{3} \pi ,\;\; \theta =\dfrac{4}{3} \pi[/tex]

Step-by-step explanation:

Given:

[tex]\cos 2\theta=-5 \cos \theta-3, \quad \quad 0 \leq \theta < 2 \pi[/tex]

[tex]\boxed{\begin{minipage}{6.5 cm}\underline{Cos Double Angle Identity}\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\\end{minipage}}[/tex]

Use the cos double angle identity to create a quadratic:

[tex]\begin{aligned}\cos 2\theta &=-5 \cos \theta-3\\\cos^2\theta - \sin^2 \theta &=-5 \cos \theta-3\\\cos^2\theta - (1-\cos^2 \theta) &=-5 \cos \theta-3\\2\cos^2\theta - 1 &=-5 \cos \theta-3\\2\cos^2\theta+5 \cos \theta +2 &=0\end{aligned}[/tex]

Factor the quadratic:

[tex]\begin{aligned}2\cos^2\theta+5 \cos \theta +2 &=0\\2\cos^2\theta+4 \cos \theta +\cos \theta +2 &=0\\2\cos \theta(\cos \theta +2)+1(\cos \theta +2) &=0\\(2\cos \theta+1)(\cos \theta +2)&=0\end{aligned}[/tex]

Apply the zero-product property:

[tex]2 \cos \theta + 1 = 0 \implies \cos \theta =-\dfrac{1}{2}[/tex]

[tex]\cos \theta + 2= 0 \implies \cos \theta =-2[/tex]

As  -1 ≤ cos θ ≤ 1,  cos θ = -2 is undefined.

Therefore, the only valid solution is  cos θ = -¹/₂

Therefore:

[tex]\implies \cos \theta =-\dfrac{1}{2}[/tex]

[tex]\implies \theta =\cos^{-1}\left(-\dfrac{1}{2}\right)[/tex]

[tex]\implies \theta =\dfrac{2}{3} \pi +2\pi n,\;\; \dfrac{4}{3} \pi+2\pi n[/tex]

Solutions in the given interval 0 ≤ θ < 2π :

[tex]\theta =\dfrac{2}{3} \pi ,\;\; \theta =\dfrac{4}{3} \pi[/tex]

25. There are 5 teams in a netball competition. Each team must play each other twice. How many games will team play? A. 10 B. 5 C. 8 D. 4






⛑help again please anyone I got a lot of ⚣ homework to do so I'll ask answers for all of them throughout the night >_<​

Answers

Answer:

C-8

Step-by-step explanation:

5 games they each play each other they continue if each team wins then they continue to play to 8 games

Answer:

The answer to your problem would be 10

Step-by-step explanation:

There are 5 teams. So, if each team has to play each other twice, 5x2=10.

Each team plays twice....I think I did that right. I'm really sorry if it's not right.

What is the average number of receipts per quarter at Kingpin Parts?

Answers

Answer: The answer is about 57.5

A line intersects the points (4, 12) and (-1, -3). What is the slope of the line in simplest form? m = [?]​

Answers

Answer: m = 3

Step-by-step explanation:

-3 - 12 = -15
-1 - 4 = -5
[tex]\frac{-15}{-5}[/tex] = 3

The following are prices for various cars: $22,000, $28,000, $90,000, 22,000, $26,000. What is the median price?

Answers

The required median of the prices of the various cars is $26,000.

What is the median?

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top half of data.

here,
Arrange the data set in order,
$22,000, $22,000, $26,000, $28,000, $90,000,

Total number = 5 [ odd numbers ]
Median is given as = n + 1 / 2 th term
                             = 5 + 1 / 2 th term
                             = 3 rd term

Thus, as of the given condition, the median of the prices is $26,000.

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write an equation for a line parallel to y = − 2 x − 3 and passing through the point (3,-3)

Answers

Equation of line parallel to y = − 2 x − 3 and passing through the point (3,-3) is y = -2x + 3.

When two lines are called parallel?

Two lines are parallel lines if they do not intersect.

The slopes of the lines are the same.

f(x)= mx + b and g(x)= nx + c are parallel if m = n.

According to the given question:

Given equation of line is y = −2x − 3

If the new line is parallel, then it will have the same slope.

y = -2x + b

Now this line passes through the point (x,y) = (3,-3) so put in the x and y values into the equation above, solve for b

-3 = -2(3) + b

b = 3

Therefore the required equation of line is

y = -2x + 3

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Maddy is making banana bread. She has 11 bananas. If she uses 3 bananas for each loaf of bread, how many loaves of banana bread can she make?

Answers

Answer: She can make 3 full loaves

Step-by-step explanation: 3 x 3 = 9   3 x 4 = 12 you dont have 12 you only have 11

technically you can make 3 [tex]\frac{1}{3}[/tex] loaves but if you are looking for full loaves you can only make 3

What is the value of x?
Enter your answer in the box.

x =

Answers

The side length RQ of the triangle QRT that is 'x' will be 4 units.

What is trigonometry?

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

In triangle ΔRST, the side RT is given by the sine of angle 60°. Then we have

sin 60° = (2√3) / RT

(√3)/(2) = (2√3) / RT

RT = 2 x 2(√3) / (√3)

RT = 4

In triangle ΔQRT, the side QR is given by the tangent of angle 45°. Then we have

tan 45° = RQ / RT

1 = x / 4

x = 4

The side length RQ of the triangle QRT that is 'x' will be 4 units.

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PLEASE HURRRY PLSSSSS I NEED ANSWERSSSS

Answers

The investments arranged from the least to the greatest amount of interest are:

Investment of $1600 at 5% interest rate for 8 years.

Investment of $1600 at 7% interest rate for 8 years.

Investment of $1600 at 7% interest rate for 12 years.

What is simple interest?

Simple interest is the formula that is used to determine the interest that is earned when an amount is investment at an interest rate over a number of years.

Interest earned with simple interest increases linearly over the investment period. This means that the interest earned each year of the investment period is a constant amount.

Simple interest = amount invested x interest rate x year

Simple interest = $1600 x 0.07 x 8 = $896

Simple interest = $1600 x 0.05 x 8 = $640

Simple interest = $1600 x 0.07 x 12 = $1344

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The function g is defined by g(x) = 5+2x/2+x
Find g (4x)

Answers

[tex]g(x)=\frac{5+2x}{2+x} \\ \\ \implies g(4x)=\frac{5+2(4x)}{2+4x}=\boxed{\frac{5+8x}{2+4x}}[/tex]

Suppose that x and y vary inversely, and x = 30 when y = 2. Find y when x=5.

Answers

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

PLEASE HELP!!!!!!!!! This assignment is already late and last day to turn in is TOMORROW!!!!!!!!!

Answers

The value of n and m are 110 and 20 respectively if the equations are 2n + 3m = 280 and 2n + 5m = 320.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Two linear equations are:

2n + 3m = 280

2n + 5m = 320

Using the elimination method:

Because the coefficient for n is the same in both equations

-2m = - 40

m = 20

n = 110

Thus, the value of n and m are 110 and 20 respectively if the equations   are 2n + 3m = 280 and 2n + 5m = 320.

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How long will it take 2000 dollars to double if it is invested at 8% interest compounded semi-annually?

Answers

The time it will take the 2000 dollar invested at 8% is t= 9.006468342 years

Compound Interest

Compound interest can be define as the addition of interest on the loan to the principal sum of the deposit.

2 = (1+8%) ^t

where t is the time of the year

2= (1 +8%)^t

2 = (1+8/100)^t

2 =   ( 1 0.8)^t

Take the log of both sides

log 2 = log 1.08^t

log 2 = t log 1.08

Divide both sides by log 1.08

log 2/ log 1.08 = t

t= 9.006468342 years

Therefore, the time it will take the dollar invested at 8% is t= 9.006468342 years

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Carla's uncle owns a pizzeria. Her uncle has 4 pounds of mozzarella cheese. He uses pound of the mozzarella to make a large pizza.
How many large pizzas could Carla's uncle make before running out of mozzarella cheese?
O 3 pizzas
4 pizzas
O 5 pizzas
O 6 pizzas

Answers

I could be wrong but is it 6

HELPPPPP!!!!!!!! 30 POINTSSSS!!!!!
What is the correlation of the data shown?

A. -1
B. -0.5
C. 1
D. 0

Answers

The correlation of the data shown on the graph is 1

How to determine the correlation?

In this question, the graph represents the given parameter

From the graph, we have the following observations

The x values is on the horizontal axisThe y values is on the vertical axisAs the x values increase, the y values increase (approximately)

When the change (increase) in the x values causes a change (increment) in the y values, then the correlation is positive

From the list of options, we have

-1, -0.5 and 0 are not positive values

This means that the correlation is (c) 1

Hence, the correlation of the data is 1

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What does negative 3 over 8 > −1 indicate about the positions of negative 3 over 8 and −1 on the number line? (4 points) a is located on the right of 0, and −1 is located on the left of 0 b is located on the left of 0, and −1 is located on the right of 0 c is located on the left of −1 d is located to the right of −1

Answers

The expression - 3/8 > - 1 indicates that the value - 3/8 lies between - 1 and 0 on the number line.

It is located to the left of zero on the number line.

What is a number line?

A number line is a one-dimensional horizontal line where we can represent any real number. The origin of the number line is represented by zero left to it are all negative real numbers and right to it are all positive real numbers.

Given, An expression - 3/8 > - 1.

This indicates that the value - 3/8 lies between - 1 and 0 on the number line.

It is located to the left of zero on the number line.

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If southbrook middle schoolbhas 850 students then how mamy students participate in the various number of sports

Answers

Answer:

Step-by-step explanation:

67876567

Solve the application using polynomials

Answers

volume of rectangular prism: length*width*height

length: x+1width: x-2height: x+1

a) V= (x+1)(x-2)(x+1) = (x²-2x+x-2)(x+1) = (x²-x-2)+(x+1) = (x³+x²-x²-x-2x-2) = x³-3x-2

b) if x= 5, V= 5³-3(5)-2 = 125-15-2 = 108cm³

Watch help video
Kiran invested $1,500 in an account paying an interest rate of 81% compounded
continuously. Isaac invested $1,500 in an account paying an interest rate of 7%
compounded daily. After 6 years, how much more money would Kiran have in his
account than Isaac, to the nearest dollar?

Answers

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Kiran has $191254 more amount than Isaac.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Kiran:

P = $1500

r = 81%

n = continuously

t = 6 years

A = P [tex]e^{rt}[/tex]

[ e = 2.71828 }

A = 1,500.00 x [tex]2.71828^{0.81\times6}[/tex]

A = $193,536.30

Isaac:

P = $1,500

r = 7%

n = 360

t = 6 years

A = 1500 [tex](1 + 0.07/360)^{360\times6}[/tex]

A = $2,282.85

Now,

The difference between Kiran's and Isaac's amount.

= $193,536.30 - $2,282.85

= $191253.45

= $191254

Thus,

Kiran has $191254 more amount than Isaac.

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120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology
class (B). If 35 of them are signing up for both Math and Biology, how many are signing up for neither Math nor Biology. Hint:
It may help to draw the Venn diagram.

Answers

The number of students signing up for neither Math nor Biology is 25.

What are sets and subsets?

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Given, 120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology.

We know N(A∪B) = N(A) + N(B) - N(A∩B).

∴ N(M∪B) = 80 + 50 - 35.

N(M∪B) = 95.

So, the number of students signing up for neither Math nor Biology are

(120 - 95) = 25

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an ice cream factory makes 180 quarts of ice cream in 2 hours.how many quarts willl be made in 12 hours? please send help

Answers

It would be 1,080 quarts of ice cream made after 12 hours

what multiples to 48 and adds to -12

Answers

Effectively what you're asking is to solve this equation

x^2 - 12x + 48 = 0

Compare that to this form

ax^2 + bx + c = 0

to find that

a = 1b = -12c = 48

Let's compute the discriminant (aka the stuff under the square root in the quadratic formula).

d = b^2 - 4ac

d = (-12)^2 - 4(1)(48)

d = 144 - 192

d = -48

The discriminant is negative, which tells us that there aren't any real numbered solutions to x^2 - 12x + 48 = 0

Therefore, we have no way to factor x^2 - 12x + 48 over the real numbers. Going back at the problem at hand: there aren't any real numbers that (a) multiply to 48 and (b) add to -12.

The two mystery numbers would be complex numbers in the form a+bi, where i = sqrt(-1). If your teacher hasn't covered these types of numbers yet, then you simply would say "no solution".

NO LINKS!! Please help me with this problem.​

Answers

Answers:

Min cost = $464.76

Dimensions = 11.619 feet by 5.164 feet

Each value mentioned above is approximate.

========================================================

Explanation:

x = horizontal dimension

y = vertical dimension

xy = 60

y = 60/x

The amount of outer fencing needed is 2x+2y feet, aka the perimeter of the largest rectangle.

There are 5 vertical inner fences, so we need 5y feet of inner fencing.

Let's set up the cost function.

Cost = 10*(amount of outer fencing) + 5*(amount of inner fencing)

C = 10*(2x+2y) + 5*(5y)

C = 20x+20y+25y

C = 20x+45y

Plug y = 60/x into the cost function.

C = 20x+45y

C = 20x+45(60/x)

C = 20x + (2700/x)

Then use either calculus or a graphing calculator to find the lowest point on the cost curve is roughly located at (11.619, 464.758)

Use the x value x = 11.619 to find its paired y value

y = 60/x

y = 60/11.619

y = 5.16395558998192

y = 5.164

The entire enclosure should be roughly 11.619 feet by 5.164 feet

The total cost is minimized at approximately  $464.76

Answer:

11.619 by 5.164 feet$464.76 minimum cost

Step-by-step explanation:

You want the dimensions and cost of a rectangular enclosure with an area of 60 square feet and 5 internal partitions. The cost of outside fence is $10 per foot, and the cost of partition fence is $5 per foot.

Setup

Let x represent the length of the enclosure, and y the width (and the partition length). Then we have ...

  xy = 60

  10(2x) = cost fencing for length

  10(2y) +5(5y) = cost of fencing for width

We know the cost will be minimized when the cost of fence for the length is equal to the cost of fence for the width.

  20x = 45(60/x)

Solution

  x² = 135 . . . . . . . . . . . multiply by x/20

  x = 3√15 ≈ 11.619 . . . .square root

  y = 60/(3√15) = (4/3)√15 ≈ 5.164 . . . . . find y

Then the cost is ...

  2(10(2x)) = 120√15 ≈ 464.76 . . . . minimum cost

The enclosure is 11.619 by 5.164 feet, for a cost of $464.76.

Use close-but-easier numbers to estimate the answer to this problem
78+43

Answers

Answer: 121

Step-by-step explanation:

78+43=121

78+43=121 An easier way is to forget the the ones just add the tens 40+70=110 now add the ones 110+8+3=121 hope that helps
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