1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ELEN [110]
3 years ago
5

Given the following linear function, sketch the graph of the function and find the domain and range. f(x)=2/3x-3

Mathematics
2 answers:
stira [4]3 years ago
6 0
First You Have To Plot It At -3 On the Graph And Go Up 2 And Over To The Right 3
madam [21]3 years ago
4 0

Answer:

(a) Graph : In attachment

(b) Domain: (-∞,∞)

(c) Range: (-∞,∞)

Step-by-step explanation:

Given: f(x)=\dfrac{2}{3}x-3

It is a linear function.

For sketch:

Put x=3 into f(x) to get y

f(3) = 2 - 3 = -1

Point (3,-1)

Put x=-3 into f(x) to get y

f(3) = -2 - 3 = -5

Point (-3,-5)

Plot the points on graph and join the points. Please find the attachment.

For domain:

It is input value of x where function is well defined.

Domain: All real number

For range:

It is output value of y.

Range: All real number.

You might be interested in
Each person eats 2/3 of a pound of turkey. how many pounds of turkey will be needed for 8 people
dezoksy [38]
Multiply 2/3 by 8 and you will get 16/3 or 5.33 repeating.
4 0
3 years ago
Read 2 more answers
Maurice earns a commission of 6,048 from the sale of a Lexus, priced at $50,400. What is Maurice's commission rate?
Nutka1998 [239]

Answer:

commission rate of Maurice is 12%

Step-by-step explanation:

Maurice earns commission = $6,048

Lexus priced at = $50,400

Maurice's commission rate =

=\frac {commision}{rate} \times 100

=\frac{6048}{50400} \times 100

=12 %

hence the commission rate of Maurice is 12%

8 0
3 years ago
The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

v=1712*0.542^3=272

So for the smaller solid, volume is 272 . And the correct option is the first option .

4 0
3 years ago
6. Given two numbers 8 and 5:<br> Write "the distance between 8 and 5" as a mathematical expression.
egoroff_w [7]

Answer:

3

Step-by-step explanation:

5+3=8 and on a number line 5 and 8 and 3 numbers away

6 0
2 years ago
Read 2 more answers
Select the three ratios that represent the number of red cars to blue cars.
Lorico [155]

Three ratios that represent the number of red cars to blue cars are

2 : 3

6 : 9

8 : 12

\texttt{ }

<h3>Further explanation</h3>

<u>Given:</u>

Number of Red Cars = 4

Number of Blue Cars = 6

<u>Asked:</u>

Ratio = ?

<u>Solution:</u>

<em>Let:</em>

<em>Number of Red Cars = R</em>

<em>Number of Blue Cars = B</em>

The ratio that represent the number of red cars to blue cars is :

R : B = 4 : 6

We can find other ratio by dividing or multiplying the above comparison with the same number :

R : B = (4/2) : (6/2) = 2 : 3

R : B = (4 \times 2) : (6 \times 2) = 8 : 12

R : B = (4 \times \frac{3}{2}) : (6 \times \frac{3}{2}) = 6 : 9

\texttt{ }

<h3>Conclusion:</h3>

Three ratios that represent the number of red cars to blue cars are:

  • 2 : 3
  • 6 : 9
  • 8 : 12

\texttt{ }

<h3>Learn more</h3>
  • The LCM and HCF : brainly.com/question/420337
  • A car’s service book  : brainly.com/question/422755
  • Verify that HCF × LCM = product of two numbers : brainly.com/question/10942748

<h3>Answer details</h3>

Grade: College

Subject: Mathematics

Chapter: Ratio

Keywords: Lower , Common , Multiple , Highest , Ratio , Proper , Jar , Pickles , Patties , Buns  

4 0
3 years ago
Read 2 more answers
Other questions:
  • Admission to a car show costs $5 for each ticket. After selling only 20 tickets, they decided to lower the price to $3 each. If
    13·2 answers
  • You need to haul a load of patio bricks to a job site. Each brick weighs 4 pounds 14 ounces. Your truck can carry a 3/4-ton load
    9·1 answer
  • Simplify the expression 5(4g−7)+8g+3
    15·1 answer
  • Help with 3-8 please
    5·1 answer
  • Please Answer!!!
    13·1 answer
  • Someone pls help I really don’t get it
    15·1 answer
  • Find the distance between the points given.<br><br> (0, -6) and (9, 6)
    10·2 answers
  • Triangle ABC is translated 5 units to the right and 2 units up. Match the correct
    12·1 answer
  • Please do all four..:( if u do ily 4ever &lt;3
    6·2 answers
  • A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. Wha
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!