In Exercises 27 and 28, find the domain of the function
represented by the graph. Determine whether the
domain is discrete or continuous. Explain.

In Exercises 27 And 28, Find The Domain Of The Functionrepresented By The Graph. Determine Whether Thedomain

Answers

Answer 1

                                             Question 27

The graph on question 27 indicates that there are three points with the locations such as:

(2, 6)(4, 12)(6, 18)

In other words, there are three points that lie on the graph with the x-values such as:

{(2, 6), (4, 12), (6, 18)}

We know that the domain includes the set of x-values.

Hence, the domain of the function is:

Domain: {2, 4, 6}

Since the points are not connected between them. In other words, there is not a continuous line.

Thus, the function represented on the graph has a discrete domain.

                                        Question 28

The graph on question 27 indicates that the line segment with the end-points (0, 25) and (7, 20).

Since there is a continuous line between the points from x = 0 to x = 7.

Thus, the domain of the line function is:

Domain: {0, 1, 2, 3, 4, 5, 6, 7}

As the line segment is a continuous line. Thus, the domain is continuous.


Related Questions

The local car dealership has noticed a 3:1
ratio for people purchasing SUV's to those
purchasing trucks. If they have room for
128 trucks and SUV's on their lot, how
many trucks should they have available to
sell?

Answers

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

32 trucks be safe! Out there!

find the area of Rhombus if its diagonals measure 18 cm and 21 cm​

Answers

Answer:

189 cm²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × product of diagonals

   = [tex]\frac{1}{2}[/tex] × 18 × 21 = 9 × 21 = 189 cm²

does this graph show a function. explain how you know.

Answers

Answer:

its should be A because theres no vertical line that looks like that lol

Answer:

A.  The graph fails the vertical line test, I think.

Step-by-step explanation:

A hamster is running on a wheel. The diameter of the wheel is 6 inches. The hamster makes the wheel turn 10 times. How far did the hamster run?

Answers

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Complete the equation of the line whose slope is -2 and y intercept is (0,-8)

Answers

Answer:

y=-2x-8

Step-by-step explanation:

A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555​

Answers

Answer:

B) 3.7(1.15)

Step-by-step explanation:

4(-y+3)=2(5-y)
x=?

Merry Christmas

Answers

Answer:

Y=1

Step-by-step explanation:

ㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍㆍ

Answer:

Y = 1

Step-by-step explanation:

a) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0
b) hence find the set of values of p for which the equation has no real roots ​

Answers

Answer:

a)

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) p is in the interval (-4,4)

Step-by-step explanation:

Quadratic Equation

It's given the following quadratic equation:

[tex]x^2+px+4=0[/tex]

a)

It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:

[tex]a^2+2ab+b^2=(a+b)^2[/tex]

We already have the first term squared, and we need to find the second term. Rewriting the equation:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]

The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:

[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]

Factoring:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]

Moving the independent term to the right side:

[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]

Taking the square root:

[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

Solving for x:

[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]

b) If the equation won't have real roots, then the radicand should be negative:

[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]

Factoring:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

The zeros of the left-side polynomial are:

[tex]\displaystyle \frac{1}{2}p-2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=2[/tex]

p = 4

[tex]\displaystyle \frac{1}{2}p+2=0[/tex]

[tex]\displaystyle \frac{1}{2}p=-2[/tex]

p = -4

The inequality:

[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]

Is satisfied for values of p in the interval (-4,4)

Alexia spent 3 minutes working on each of her math problems and 4 minutes on each of her science problems. Her homework took her more than 60 minutes to complete. The boundary line for the inequality 3x + 4y > 60 is shown.

Answers

Answer:

The correct answer to this problem is the third statement which is "Alexia completed 20 math problems and 10 science problem". The following conditions are stated in the problem:

Alexia can answer 3 minutes on each math problem

Alexia can answer 4 minutes on each science problem

She worked more than 60 minutes

We have the inequality 3x + 4y > 60 where x represents the total number of math problem while y represents the total number of the science problem.

in our answer, we have x=20and y=10

3*20 + 4*10 > 60

60 + 40 > 60

100 > 60

brainliest please

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

I just took this assignment. :)

Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5, 0.5) into 0.2x + 2y = 0 to get . Simplify the above equations to get

Answers

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

PLEASE MARK BRAINLIEST!!!!!!!!!!!

(–5, 0.5) a solution of the system of equations.

What is a system of equations?

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

For more references on the system of equations, click;

https://brainly.com/question/24065247

#SPJ2

You spent $24 more than Pam. If you spent $82, how much money did Pam spend? Write and solve an equation.

Answers

Answer:

$58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

82-24=58

please help me answer this!! geometry

Answers

Answer:

-2x+7(10+18)

Step-by-step explanation:

Hope this helps

(4+2k)⋅6+3k and cant solve it plz help

Answers

Answer:

Simplifying

(4 + 2k) * 6 + 3k = 0

Reorder the terms for easier multiplication:

6(4 + 2k) + 3k = 0

(4 * 6 + 2k * 6) + 3k = 0

(24 + 12k) + 3k = 0

Combine like terms: 12k + 3k = 15k

24 + 15k = 0

Solving

24 + 15k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 15k = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 15k = 0 + -24

15k = 0 + -24

Combine like terms: 0 + -24 = -24

15k = -24

Divide each side by '15'.

k = -1.6

Simplifying

k = -1.6

Step-by-step explanation:

5 divide by 8 plus 9

Answers

Answer:

9.625

5 divided by 8= 0.625 + 9 = 9.625

Step-by-step explanation:

Answer:

9.625

Step-by-step explanation:

5/8=0.625, than add 9 to it, and have 9.625

If a relation has more numbers in its range than in its domain, what has to be true?

Answers

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

How do you decide which rational number operations to use to solve problems.

Answers

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

Use technology to find the​ P-value for the hypothesis test described below. The claim is that for a smartphone​ carrier's data speeds at​ airports, the mean is μ=11.00 Mbps. The sample size is n=14 and the test statistic is t=1.484. ​P-value=nothing ​(Round to three decimal places as​ needed.)

Answers

Solution :

The null and alternative hypothesis is given by

[tex]$H_0: \mu = 11$[/tex]

[tex]$H_a: \mu \ne 11$[/tex]

Assume that the level of significance, α = 0.05

The t-test statistics is, t = 1.484

Degree of freedom :

df = n - 1

   = 14 - 1

   = 13

The P-value is given by

P-value = 2P (T>|t|)

            = 2P(T>|1.484|)

            = 2P(T>1.484)

            = 2(=T.DIST.RT(1.484,13))

            = 0.05

Suppose you want to buy one pair of pants and several pairs of socks.
The pants cost $24.95, and the socks are $5.95 per pair. How many
pairs of socks can you buy if you have $50.00 to spend?

Answers

Answer:

8

Step-by-step explanation:

50/5.95

HELP WILL GIVE 15 POINTS
what is the range of this function and pls explain​

Answers

Answer:

[tex]f(x)\geq -2[/tex]

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

[tex]f(x)\geq -2\\[/tex]

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

Help!! 10 pts and brainliest!

Answers

Answer:

99 square units

Step-by-step explanation:

The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.

Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.

original area = 11 square units

scaled area = 9 * 11 square units = 99 square units

Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)

Answers

B,D,E is the answer for sure

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

882-28282=9191

Step-by-step explanation:

Determine the negation of the following statement:

x is not equal to 50.

Answers

Any more details? I cannot know if you don’t have any more details for me

this is um .... im hungry .

Answers

Answer:

what? im hungry too..... and the photo is blurry

Answer:

Hungry too gonna go eat

Step-by-step explanation:

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 7 : 5. You bake 15 oatmeal cookies. How many chocolate chip cookies do you have?

Answers

Answer:

21

Step-by-step explanation:

15 divided by 5 is 3

7 times 3 = 21

Answer - There are 21 chocolate chip cookies.

4/3 divided by 2/5...............

Answers

Answer:

[tex]3 \frac{1}{3}[/tex], or 10/3

Step-by-step explanation:

4/3 ÷ 2/5 = 4/3 × 5/2 = 20/6 = [tex]3 \frac{2}{6} = 3\frac{1}{3}[/tex]

Answer:

3 1/3

Step-by-step explanation:

When we divide two fractions, such as 4/3 ÷ 2/5, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

So first we will change 2/5 into its reciprocal, in simple words what fraction is it when its flipped over, 5/2 right? So now we change the division into multiplication, you may or may not have heard this phrase:

Keep, Change, Flip

so now our equation looks like this:

4/3 (5/2)

In a multiplication problem it dosent matter if the denominators are the same so we just straight up multiply, which gives us 20/6. We can still simplify this by 2, so 20 divided by 2 is 10, and 6 divided by 2 is 3, so our new fraction is 10/3, now we can simplify it again to make it proper, so its 10 divided by 3, the numerator goes inside and the denominator goes outside, this gives us 3r1, the denominator (the outside number) will becomes the mixed number, the remainder will become the numerator, and the answer will become the denominator, which gives us our final answer of:

3 1/3

what is the value of f(-4.2) given the function f(x) = 23.2x + 2.5

Answers

Answer:

f(-4.2)= -94.94

Step-by-step explanation:

23.2*-4.2= -97.44

97.44+2.5= 94.94

I WILL GIVE BRAINLEST!!!!!!!


Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes?
A. 2d – 5
B. 5 – 2d
C. d + (2 – 5d)
D. d + (2d – 5)


PLSSS SHOW YOUR WORK PLSSSS

Answers

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Let’s say that she has 10 dimes. 2(10)-5=Q

20-5=15

15 quarters

We doubled her dimes, and subtracted 5 to find quarters.

You can fill anything for D and remind true

Will give crown help

Answers

Answer:

slope=-2

Step-by-step explanation:

Slope = Rise over Run

Here the rise is -4 units and run is 2 units

Therefore,

-4/2 =-2

Hope this helps!

PLEASE HELP ITS HARD ALGEBRA I WILL MARK BRAINLIEST IF U GET IT RIGHT
Estimate the solution to the following system of equations by graphing.

3x+5=14
6x-4y=9

A. (7/3, 7/2)
B. (4/3, 5/2)
C. (5/2, 4/3)
D. (-5/2, -7/2)

Answers

Answer:

C

Step-by-step explanation:

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