What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}

What Is The Range Of The Graphed Function? {x |1&lt; X &lt; 5){y |1 &lt; Y &lt;5}{x | X Is A Real Number}{y|y

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]V=\sqrt[3]{x-1}+3[/tex]

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

{x | x is a real number}

In other words:

[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]


Related Questions

Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?

Answers

Answer:

are you sure it is not 180? if it is it is 12.87

but if it is 238 it is 21 days or something close

A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes

Answers

Answer:

49.6 minutes to create 308 bolts

Step-by-step explanation:

hope this helps :)

PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.

Answers

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Help for weather science

Answers

a. land reduces wind power
It is A because it Acts like a bumpy surface

Answer this question quickly plz

Answers

Answer:

a.

1 quarter=0.25

240*0.25=60

again,

b.349/60=5.81 weak

Answer:

Step-by-step explanation:

a) he saves £60 per week

b) 60 x 6= 360

   he needs to save £60 for 6 weeks to have enough money to buy a bike

Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi

Answers

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6

Answers

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work.

Answers

Answer:

$157.5

Step-by-step explanation:

Given that:

Number of hours worked after the school = 1.5 hours

Earnings per hour = $3.50

Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25

Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25

Number of weeks for which Ob works = 6

Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days

Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5

Let x= t+2 and y= t² Write an equation for y in terms of only X​

Answers

Answer:

[tex] y = {x}^{2} - 4x + 4[ /tex]

Step-by-step explanation:

[tex] x = t + 2 \\

\implies \: x - 2 = t....(1) \\

y = {t}^{2} ....(2) \\

plug \: t = x - 2 \: in \: equation \: (2) \\

y = {(x - 2)}^{2} \\

\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]

On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.

Answers

Answer:

1400< 350d (its less than or equal to, but i cant put the bar under.

When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.

Answers

Answer:

n = 14

Step-by-step explanation:

(n + 6)4 = 5

1. multiply by 4

n + 6 = 20

2. substract 6

n = 14

The required value of n is 14 in the given sum.

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.

According to the given question, we can write the algebraic form would be as:

⇒ (n + 6)/4 = 5

Apply the cross-multiplication operation,

⇒ (n + 6) = 5 × 4

Apply the multiplication operation,

⇒ (n + 6) = 20

⇒ n = 20 - 6

Apply the subtraction operation,

⇒ n = 14

Therefore, the required value of n is 14.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Write the ratio
2/3 /5
in simplest form

Answers

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =

Answers

The answer is A = 20 - 4x

3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?

Answers

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)

Answers

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Order from least to greatest, (15 points) and brainy award.

Answers

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18

Answers

Answer:

First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)

So we know that the two integers will be close to 8.48

Since they are consecutive, lets first test out 8 and 9

We multiply these two and get 72, which is the number we were looking for.

now we find their sum.

9 + 8 = 17

Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.

-9 + -8 = -9 - 8 = -17!

So, the answer you are looking for is E: -17

There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?

Answers

Answer:

9 is the answer to that question

what is the square root of a perfect square always rational

Answers

Answer:

The square root of a perfect square will always be a whole positive or negative number

Step-by-step explanation:

Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?

Answers

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

I need help and D. Is x>-25

Answers

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?

Answers

Answer:

350miles

Step-by-step explanation:

toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?​

Answers

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?

Answers

Answer:

The price of each CD before tax is $15.70

Step-by-step explanation:

Given that:

Number of CDs bought by Reuben = 5

Cost of five CDs = $81.50

Sales tax on each CD = $0.60

Sales tax on 5 CDs = 0.60*5 = $3.00

Price of CDs without tax = 81.50 - 3.00 = $78.50

Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]

Price of each CD = [tex]\frac{78.50}{5}[/tex]

Price of each CD = $15.70

Hence,

The price of each CD before sales tax is $15.70


Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.

Answers

Answer:

Step-by-step explanation:

What grade?

Answer:

$67

Step-by-step explanation:

4000 for 4% equal $160/year total in 5 year equal $4800

the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne

an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located

Answers

9514 1404 393

Answer:

  (13.06, 16.41)

Step-by-step explanation:

Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.

The midpoint of AB is ...

  (A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)

The midpoint of AC is ...

  (A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)

__

The differences between points are ...

  B -A = (25, 10) -(15, 3) = (10, 7)

  C -A = (0, 20) -(15, 3) = (-15, 17)

Then the perpendicular bisector equations can be written as ...

  bisector of AB  ⇒  10(x -20) +7(y -6.5) = 0

     10x +7x -245.5 = 0

  bisector of AC  ⇒  -15(x -7.5) +17(y -11.5) = 0

     -15x +17y -83 = 0

These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...

  x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06

  y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41

The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).

_____

Further detail regarding the solution

Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...

  R -S = (∆x, ∆y)

The midpoint of segment RS can be called ...

  (R +S)/2 = (h, k)

Then the line that is a perpendicular bisector of RS can be written as ...

  ∆x(x -h) +∆y(y -k) = 0

This is the form that is used above.

__

The "cross multiplication method" for solving a pair of general-form linear equations ...

  ax +by +c = 0

  dx +ey +g = 0

will give the solution as ...

  1/(ae -db) = x/(bg -ec) = y/(cd -ga)

If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.

  [tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]

what is x in 4x²-12x+ 9 = 0​

Answers

Answer: x =  √9/8

answer is x = square root of 9/8

Step-by-step explanation:

You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.

Answers

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

Can someone help me with this problem?

Answers

Answer: 5:6

Explanation:

The 2 polygons are similar

So 25/30 = 25.5/30.6 = 5/6 or 5:6

What is the oblique asymptote of g(x)= x^2-3x-5/x+2?​

Answers

Answer:

excuse me these words are some other language

Answer:

It's y= x-5

Step-by-step explanation:

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