What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide

Answers

Answer 1

Answer:

[tex]Domain: \{1 \le x \le 3\}[/tex]

Step-by-step explanation:

Given

See attachment for options

Required

Determine the domain and the range

From the question, we understand that:

[tex]x \ge 1[/tex] --- at least 1 inch

[tex]x \le 3[/tex] --- not more than 3 inches

So, the domain is:

[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]

Rewrite as:

[tex]1 \le x[/tex] and [tex]x \le 3[/tex]

Combine both:

[tex]1 \le x \le 3[/tex]

Hence, the domain is:

[tex]Domain: \{1 \le x \le 3\}[/tex]

There is no available to determine the range.

A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.

For instance:

[tex]A(x) = 5x[/tex]

We have:

[tex]A(1) = 5*1=5[/tex]

[tex]A(3) = 5*3=15[/tex]

The range will be:

[tex]Range: \{5 \le A(x) \le 15\}[/tex]


Related Questions

IF you add 6 tens of thousands, 5 thousands and 3 hundreds together what is the value of the largest digit of the answer?

Answers

Answer:

ten thousands place

Step-by-step explanation:

6 tens of thousands = 60,000

5 thousands= 5,000

3 hundreds= 300

60,000

+  5,000

+      300

 65,300

Can someone answer this

Answers


jim grant. can you answer my question too?

Answer:

54

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = 81 ← value of y from table for x = 4

f(a) = f(3) = 27 ← value of y from table for x = 3

average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

The answers are A and D

Step-by-step explanation:

2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.

2) determine the length of the hypotenuse from the picture

A) 21 cm
B) 28 cm
C) 35 cm
D) 49 cm

Dont put the answer
In a link

Answers

the answer is a i’m sure

Finding probability

Answers

Answer:

6/8??

Step-by-step explanation:

I am a little confused with the question but i believe its 6/8

I really need help! is my answer correct ?

Answers

I believe your answer may be correct! Apologies if I’m wrong

cual es el resultado de 5-4(6-12)

Answers

Answer:

29

Step-by-step explanation:

5-(4*(6-12))=29

Answer:

La respuesta es 29, espero que esto ayude.

algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)

Answers

Answer:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

 

STEP

2

:

           3s2 - 2s + 1

Simplify   ————————————

            s2 - s + 2

Trying to factor by splitting the middle term

2.1     Factoring  3s2 - 2s + 1

The first term is,  3s2  its coefficient is  3 .

The middle term is,  -2s  its coefficient is  -2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   3 • 1 = 3

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -2 .

     -3    +    -1    =    -4

     -1    +    -3    =    -4

     1    +    3    =    4

     3    +    1    =    4

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Price of bread was increased by 5% to a retail price of $3.57. What was the original price ?

Answers

Answer:

3.39

Step-by-step explanation:

Help !!!!!!!!! !!!!!!!!!!!!

Answers

Answer:

28

Step-by-step explanation:

Add up the angles of the ones given so

40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28

I hope this helped!

Answer:

28°

Step-by-step explanation:

40° + 112 ° + angleCBA =180

152°+ angleCBA= 180

angle CBA=180° - 152°

angle CBA= 28°

A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?

A. 60
B. 105
C. 120
D. 180

Answers

Answer:

105

Step-by-step explanation:

(30/1000) * 3500 = 105

find the volume of the prism

Answers

Answer: 4,218,750

Step by explanation:

expand and simplify (3x+4)(2x+3)

Answers

Answer:

answer is 6x^2+17x+12

Step-by-step explanation:

3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12

What is 7.936 rounded to the hundredths place

Answers

Answer:

7.94 is your answer

Step-by-step explanation:

......

i'm pretty sure its 7.94, sorry if im wrong

Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,​

Answers

Answer:

immma send you the link friend me on hereStep-by-step explanation:

16x³-128y³
pls answer fast​

Answers

Answer:

16x³-128y³

2((2x)³-(4y)³)

2(2x-4y)(4x²+8xy+16y²)

2×2×4(x-2y)(x²+2xy+4y²)

16(x-2y)(x²+2xy+4y²)

is your answer in factor form.

The required factor is given by 16(x-2y)(x²+2xy+4y²)

What is factor?

factors can be defined as the the numbers that multiply to give that number.

Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)


[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]

Thus the required  factor is given by 16(x-2y)(x²+2xy+4y²).

Learn more about factors here:
https://brainly.com/question/24182713

#SPJ2

-Cuántos números 2 veras si cuentas de del 10 al 22?​

Answers

Answer:

12

Step-by-step explanation:

need help now! (probibility)

The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?

Answers

Answer:

36%, I'm fairly certian

Step-by-step explanation:

A. 90%

B. 60%

C. 30%

D. 36%

D. makes the most sense to me

The probability of going to the amusement park will be 60%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.

The probability will be calculated as:-

[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]

Therefore probability of going to the amusement park will be 60%.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

True or false
You always have to use x and y as your variables when writing
equations for word problems.

Answers

Answer:

false

Step-by-step explanation:

you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something

Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X

Answers

Answer:

[tex]AD/ED=AB/CB[/tex][tex]15/x=9/3[/tex][tex]45/9=9x/9[/tex][tex]x=5[/tex]

----------------------

hope it helps...

have a great day!!

Answer:

x=5

Step-by-step explanation:

Who can answer this ( see image).

Answers

9514 1404 393

Answer:

  042

Step-by-step explanation:

The first clue tells you the possibilities are ...

  6__, _8_, or __2

The second clue eliminates 6__ and tells you the possibilities are ...

  18_, _81, 1_2, 48_, _42

The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.

042 is consistent with the last 2 clues.

The 3-digit key is 042.

1001 divided by 7
( long division )

Answers

Answer: 143

Step-by-step explanation: hope this helps :)

6x - 4y = 38
x + y = 5

Answers

Answer: y= -4/5 and x= 29/5

Step-by-step explanation:

From eqn2 , x= 5-y. Thus substituting in eqn1 will give

6(5-y)-4y=38

30-6y-4y=38

30-10y=38

-10y=38-30

-10y= 8

y=8/-10---> y= -4/5

Substituting y in eqn2 we have

x+(-4/5)=5

x=5+4/5

x=29/5

An interior designer made a scale model of a room. Each 1 inch in the model represented 12 feet in the actual 1 room. If the length of a hall was 2 inches in the model, what was the actual length of the hall?

Answers

Answer:

Step-by-step explanation:

Jxjcjja

what's the answer dhdhdizdjskxi

Answers

Answer:

138 ft for the area in the proposed design of the green section.

To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.

Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.

In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.

Answers

The image of the triangle is missing so i have attached it.

Answer:

ZY ≈ 391

Step-by-step explanation:

From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°

Now, similarly ∠XZY = 180 - (40 + 90) = 50°

Using sine rule, we can find WZ;

WZ/sin 40 = XW/sin 50

We are given XW = 600

Thus;

WZ = (600 × sin 40)/sin 50

WZ = 503.5

Now, ZY can be found using trigonometric ratios;

ZY/WZ = sin 51°

Thus;

ZY = 503.5 × sin 51

ZY ≈ 391

Solve for x: help me

Answers

Answer:

[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]

Answer:

8

Step-by-step explanation:

8x-4=60

What is the area, in square feet, of the shaded part of the rectangle below?

Answers

Answer:  208

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

Work Shown:

A = area of the rectangle

A = length*width

A = 16*17

A = 272 sq ft

B = area of triangle

B = base*height/2

B = 16*8/2    ..... note that 17-9 = 8

B = 16*4

B = 64 sq ft

C = area of shaded trapezoid

C = A - B

C = 272 - 64

C = 208 sq ft

--------------------

Alternative Method:

Apply the trapezoid area formula

b1 = 17 and b2 = 9 are the parallel bases

h = 16 is the height perpendicular to either base

A = h*(b1+b2)/2

A = 16*(17+9)/2

A = 16*(26)/2

A = 16*13

A = 208 sq ft

Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to

Answers

Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

Gabrielle's age is three times Mikhail's age. The sum of their ages is 80. What is Mikhail's age?

Answers

Answer:

Mikhail is 20 years old

Step-by-step explanation:

80 = Mikhail + Gabrielle

Gabrielle is 60 years old

Mikhail is 20 years old

20 * 3 = 60

20 + 60 = 80

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