#2 find domain and range using interval notation

#2 Find Domain And Range Using Interval Notation

Answers

Answer 1

Hey there! :)

Answer:

D: [-3, 1).

R: [ -8, 1].

Step-by-step explanation:

Examine the graph. Notice there is a closed and open circle.

Closed circles require the ] bracket to be used, while:

Open circles require the ) bracket. Therefore:

Domain:

The domain is from x = -3 to x = 1. Therefore:

D: [-3, 1).

The range, or y values in this function are from -8 to 1. Therefore:

R: [ -8, 1].

*** The range for this graph can be tricky. Remember, in this instance the highest point of the graph was at x = 0, not at x = 1 where the graph ended.


Related Questions

Apples were selling for $.26 a pound Jessica spent $3.77 on apples how many pounds of apples did Jessica buy

Answers

Answer:

14.5 pounds of apples.

Step-by-step explanation:

$3.77 ÷ $.26 = 14.5

Apples = 14.5 pounds

Hope this helps! :)

Write and solve the equation and then check your answer. A number increased by twenty-six is forty-two. Which statements are correct? Check all that apply. This is an addition problem. This is a subtraction problem The correct equation is s + 26 = 42. The correct equation is s – 26 = 42. To solve the equation, add 26 to both sides. To solve the equation, subtract 26 from both sides.

Answers

Answer:

equation= s+26=42

to solve,subtract 26 from both sides

Step-by-step explanation:

lets say the number is S

to increase is to add

S+26=42

solution

S+26(-26)=42-26

S=16

Answer:

A: This is an addition problem.C: The correct equation is s + 26 = 42. F: To solve the equation, subtract 26 from both sides.

Explanation: Correct on Edg 2020.

which of the following is the correct factorization of the trinomial below?

-7x^2 + 5x + 12
a. 7(x+1) (-x + 12)
b. -1 (7x - 12) (x+1)
c. (-7x + 12) (x - 1)
d. -7 (x - 6) (x+1)

Answers

Answer:

The answer is option B.

Hope this helps you

Answer:

The answer is B

Step-by-step explanation:

What is the value of x the triangle? PLS HELP

Answers

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)²  =  (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x²  =  (4)²

2x²  =  16

x²  =  8

√x²  =  √8

x  =  √8

x = √(4 · 2)

x = √4  ·  √2

x  =  2 · √2

(That's choice D)

If $\sqrt{5+n}=7$, then what is the value of $n$?

Answers

Answer:

44

Step-by-step explanation:

We can solve the equation by simplifying it.

[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.

[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.

[tex]n = 44[/tex].

Hope this helped!

Answer:

  44

Step-by-step explanation:

  [tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]

PLEASE HELP ME I CANT FAIL

Answers

The correct answer is C


Explain

The graph is given

F(x) is given -2^x

By putting x= - 3 in the first equation
G(x) = -9

Which is false


by putting x= -3 in the second equation

g(x) is also equal -9

Which is false


Hope this help you :D

I NEED HELP PLEASE, THANKS! :)

Answers

Answer:

  2444

Step-by-step explanation:

The total cost is the integral of the marginal cost.

  [tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]

The total cost of producing units 144 through 625 is 2444.

_____

If all you need is a number, a graphing calculator can give you that.

A regular hexagon is inscribed in a circle. The circle is inscribed in a square. If the side length of the square is 25 cm, what is the length of each side of the hexagon?

Answers

Answer:

12.5

Step-by-step explanation:

to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)

25/2=12.5

What is the equation of a line that goes through the point (0, 2) and has a slope of 1?

Answers

Answer: y=x+2

Step-by-step explanation:

The slope-intercept equation is y=mx+b. The m is slope, and the b is the y-intercept. Since we are given the slope, we can fill it into m. We also know  that the y-intercept is on the y-axis, meaning the x-coordinate is 0. The point we were given is (0,2). This means the y-intercept is 2. Our equation is y=x+2.

Answer:

y=x+2

Step-by-step explanation:

Slope intercept form is:

y=mx+b

where m is the slope and b is the y-intercept.

We know that this line has a slope of 1. Therefore, we can substitute 1 in for m.

y=1x+b

1x is equal to just x, so change 1x to x.

y=x+b

Now we must find the y-intercept, or b.

Y-intercepts are where the line crosses the y axis. The x-coordinate is always a 0.

Therefore, (0,y) is the coordinates of a y-intercept, and the "y" is the y-intercept.

We are given the point:

(0,2)

Since the x-coordinate is a 0, the y-intercept is 2. Substitute 2 in for b.

y=x+b

y=x+2

The equation of the line is y=x+2

Tagall
er travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 45 minutes?​

Answers

Answer:

304 miles

Step-by-step explanation:

Distance = rate times time

changing 4 hours 45 minutes to decimal form

4 45/60 = 4.75

D = 64 mph * 4.75

   =304 miles

Pls help me I really need help

Answers

Answer:

26 - 7(n-1)

Step-by-step explanation:

subtract n times 7 from the start value.

But if we want to call the first term n=1, we have to subtract 1 from n.

26-7 (n-1)


Subtract and times 7 from the start value
But if we want to call the first term n=1 we have to subtract 1 from n

A labourer is paid Rs per hr for an
8- hr day and1/2 times the rate for
each hour in excess of 8 hrs in a
sigle day the received
Rs.80 for a single days work, how
long did he work on that day?​

Answers

Complete question is;

A labourer is paid rs. 8 per hour for an 8 hour day and ½ times that rate for each hour in excess of 8 hours in a single day. if the labourer received rs. 80 for a single day's work, how long did he work on that day?

Answer:

Total working time for the day = 12 hours

Step-by-step explanation:

Money paid to the labourer for initial 8 hrs of work = 8 × 8 = rs. 64.

Now, we are told that he receives rs. 80 in total for that day. And that he receives ½ times the initial rate for each extra hour after the initial 8 hour period.

Thus;

½ × 8 × y = (80 - 64)

Where y is the duration of extra hours.

So;

4y = 16

y = 16/4 hours

y = 4 hours

Now, since extra hours = 4 hours and normal working hours = 8 hours.

Then, total working time for that day = 8 + 4 = 12 hours

Find the inverse of the following function: f(x) = 8√x for x ≥ 0

Answers

Answer:

Step-by-step explanation:

Rewrite the function f(x) = 8√x as y = 8√x.

To find the inverse function, do the following:

1) Interchange x and y.  We get x = 8√y

                                                                             x                        x^2

2) Solve this result for y:  (x/8) = √y  =>  y = ( -------- )^2, or y = ---------

                                                                             8                        64

Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.

Answers

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  [tex]0.555 < p < 0.777[/tex]

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             [tex]\r p = \frac{0.555 + 0.777}{2}[/tex]

            [tex]\r p =0.666[/tex]

Generally the margin of error is mathematically represented as

            [tex]E = \frac{1}{2} * K[/tex]

Where  K is the length of the confidence interval which iis mathematically represented as

           [tex]K = 0.777 -0.555[/tex]

         [tex]K = 0.222[/tex]

Hence  

          [tex]ME = \frac{1}{2} * 0.222[/tex]

           [tex]ME = 0.111[/tex]

So the confidence interval can now be represented as

        [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

     

The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.10. If there are ten questions and questions are marked independently, what is the probability that no errors are made

Answers

Answer:

0.9^10

Step-by-step explanation:

The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9

There are 10 questions  that are independent from each other .

The probability to be answered correctly is 0.9  each.  So the probability to answer correctly to all of them is

P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10

Represent the following sentence as an algebraic expression, where "a number" is the letter x.
The product of 6 and a number.
The product of 6 and a number.

Answers

I believe the answer would be 6x.

ok first person to answer my question will get marked as the brainliest answer and i will give you a thanks and a like. Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?

Answers

Answer:

76%

Step-by-step explanation:

First, we need to see how many total squares (parts) there are. There are 50.

Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.

Our fraction is 38/50, which is 76%.

Hope this helped!

Answer: 76 percent

Step-by-step explanation:

We have two squares divided into exactly 25 indentical parts

In the first one 25 squares are shaded wich means 25/25

The second one we only 13 shaded square wich means 13/25

So in total we have 50 squares with 38 shaded ones

Wich means 38/50

38/50= 0.76

Multiply bu 100 to get the percentage wich 76 percent

9q + –23 = –77 q = _______

Answers

Answer:

q = -6

Step-by-step explanation:

given:

9q + (–23) = –77      (add 23 to both sides)

9q = -77 + 23

9q = -54   (divide both sides by 9)

q = (-54)/9

q = -6

A local arena is negotiating a contract with a tourist ice skating show, icey blades. Icey blades charge a flat fee for $60000 per night plus 40 percent of the gate receipts. The civic arena plans to charge one price of all seats $1.250 per ticket. A) Determine the number of tickets which must be sold each night in order to break even? B) what would nightly profit equal if average attendance in 7500 per night?

Answers

Answer:

To break even the local arena must sell approximately 70,589 tickets. They would have a loss of $47625.

Step-by-step explanation:

The cost per night of the Icey blades contract can be expressed as a function of the gate receipts, with the flat cost added by 40% of all the gate receipts sold. This expression is shown below:

[tex]cost(x) = 60000 +0.4*x[/tex]

Since each ticket costs $1.25, then the revenue of the arena can be shown as:

[tex]revenue(x) = 1.25*x[/tex]

In order to break even the revenue must be equal to the cost, so:

[tex]revenue(x) = cost(x)\\1.25*x = 60000 + 0.4*x\\1.25*x - 0.4*x = 60000\\0.85*x = 60000\\x = \frac{60000}{0.85} = 70,588.24[/tex]

To break even the local arena must sell approximately 70,589 tickets.

If the average attendance was 7500 per night, the profit would be:

[tex]profit = revenue(7500) - cost(7500)\\profit = 1.25*7500 - 60000 + 0.4*7500\\profit = 9375 - 60000 + 3000\\profit = -47625[/tex]

They would have a loss of $47625

Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 36 inches and its width is 15 inches. Round your final answer to one decimal place.

Answers

Answer:

39 inches

Step-by-step explanation:

sqrt(15^2 + 36^2) = 39

Suppose Melissa borrows $3500 at an interest rate of 14% compounded each year,
Assume that no payments are made on the loan.
Do not do any rounding.

(a) Find the amount owed at the end of 1 year

(b) Find the amount owed at the end of 2 years.

PLEASE HELPPP!!!

Answers

Hello! AP Calc student here. Compound interest is simply a matter of knowing the equation and how you use it to achieve what the problem is asking of you.

Compound interest is expressed as this equation: A = P(1 + r/n)^n•t

I remember having a problem remembering each variable, but essentially, A is the final amount, P is the original amount owed, r is the interest rate, n is the amount of times compounded, and t is the time elapsed.

A = amount owed(what you are finding in the problem)
P = 3500
r = 14% (expressed as .14)
n = t (compounded each year)
t = time in years

So, for both a and b, you just plug in the relevant variables in the context of the problem and solve for A!

a) A = 3500(1 + .14/1)^(1•1)

b) A = 3500(1 + .14/2)^(2•2)

What expression has the same meaning as 3 5/4?

Answers

Answer:

C)

Step-by-step explanation:

The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.

:)

Flying against the wind, a jet travels 3000 miles in 4 hours. Flying with the wind, the same jet travels 7500 miles in 6 hours. What is the rate of the jet in still air and what is the rate of the wind? g

Answers

Answer:

The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

Step-by-step explanation:

Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.

In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

In triangle ABC, the length of side AB is 18 inches and the length of side BC is 26 inches. Which of the following could be the length of side AC? A. 46 inches B. 49 inches C. 6 inches D. 32 inches

Answers

Answer:

D

Step-by-step explanation:

The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.

A: Since 18 + 26 > 46 is a false statement, A is not the answer.

B: Since 18 + 26 > 49 is false, B is not the answer.

C: Since 18 + 6 > 26 is false, C is not the answer.

D: Since 18 + 26 > 32 is false, D is the answer.

Answer:

since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do

Step-by-step explanation:

A geometric series has the third term 36 , and sixth term 972 . Find the first term of the series

Answers

Answer:

the first term is 4

Step-by-step explanation:

Given

G(3) = 36

G(6) = 972

Solution:

General formula for geometric series

G(x) = AB^x

From given data: G(6)/G(3) = 972/36 = 27

From formula: G(6)/G(3) = AB^6/(AB^3) = B^3

Therefore

B^3 = 27

B=3

Hence

G(1) = AB^1 = AB^3/B^2=36/3^2=36/9=4

Ans: the first term is 4

Answer:

a₁ = 4

Step-by-step explanation:

The n th term of a geometric series is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Given a₃ = 36 and a₆ = 972 , then

ar² = 36 → (1)

a[tex]r^{5}[/tex] = 972 → (2)

Divide (2) by (1)

[tex]\frac{ar^{5} }{ar^{2} }[/tex] = [tex]\frac{972}{36}[/tex] , that is

r³ = 27 ( take the cube root of both sides )

r = [tex]\sqrt[3]{27}[/tex] = 3

Substitute r = 3 into (1)

9a = 36 ( divide both sides by 9 )

a = 4

The first term is 4

A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hour. Calculate the average number of customers in a line. Group of answer choices

Answers

Answer:

The average number of customers in a line = 2.25

Step-by-step explanation:

We are given;

Mean arrival rate;a = 15 customers per hour

Mean service rate;s = 20 customers per hour

Now, we want to find the average number of customers in the line. It is given by the formula;

N_q = a(W_q) = a²/(s(s - a)

Plugging in relevant values, we have;

N_q = 15²/(20(20 - 15))

N_q = 225/100

N_q = 2.25

What is the inverse of f(x)=3x+6 ?

Answers

Answer:

[tex]\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }[/tex]

Step-by-step explanation:

hello,

we can write

[tex]fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\<=>3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\<=> f^{-1}(x)=\dfrac{x-6}{3}[/tex]

hope this helps

what is 4 to the square root of 2

Answers

Answer:

7.10299

Step-by-step explanation:

[tex]4^{\sqrt{2} }[/tex] is best evaluated in a calc.

Approximately 7.10299

3/(2x-1)+4=6x/(2x-1)
X=?

Answers

Answer: X = 1/2

Explanation:
3/(2x-1) + 4 = 6x/(2x-1)
3/2x-1 + 4(2x-1)/2x-1 = 6x/2x-1
3 + 8x -4 = 6x
8x -1 = 6x
2x = 1
x = 1/2

PLEASE ANSWER U NEED HELP!! determine which numbers The equations need to be multiplied by to form opposite terms of the y variable. 3x - 1/4y equals 15 2/3x - 1/6y equals 6 which number should be the first equation be multiplied by? which number should the second equation be multiplied by?

Answers

Answer:

4    -6

Step-by-step explanation:

have a great day!

Multiply the first equation by 2/3 and the second equation by -1.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

3x - (1/4)y = 15

(2/3)x - (1/6)y = 6

Multiply the equation 1 by 2/3, then we have

(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15

x - (1/6)y = 10

Multiply the equation 2 by -1, then we have

(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6

- (2/3) x + (1/6)y = - 6

Multiply the first equation by 2/3 and the second equation by -1.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ3

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