answer.
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
Svet_ta [14]
2 years ago
9

Which graph represents the solution set of the compound inequality? −5 < a − 4 < 2

Mathematics
2 answers:
never [62]2 years ago
8 0

-5 < a - 4 < 2\\\\ -1

the 3rd one

jeyben [28]2 years ago
3 0

Answer:

Correct graph is:

Third

Step-by-step explanation:

we have to determine the graph of the inequality:

−5 < a − 4 < 2

Adding 4 on each side of the above inequality:

-5+4 < a-4+4 < 2+4

i.e. -1 < a < 6

Hence, graph of the inequality −5 < a − 4 < 2 is the set of all values between -1 and 6 and excluding -1 and 6

Correct graph is:

Third

You might be interested in
The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by th
Lady bird [3.3K]
For a hyperbola   \dfrac{y^{2}}{a^{2}}-\dfrac{x^{2}}{b^{2}}=1
where   a^{2}+b^{2}=c^{2}
the directrix is the line   y=\dfrac{a^{2}}{c}
and the focus is at (0, c).

Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
  a = √9 = 3
  b = √16 = 4

Your hyperbola's constants are ...
  a = 3
  b = 4


______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
8 0
2 years ago
Read 2 more answers
The plot shown below describes the relationship between the average income in a city and the average rent for a 111-bedroom apar
Nikitich [7]

Answer:

The average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.

Step-by-step explanation:

A simple linear regression line is used to predict the value of the dependent variable from the independent variable.

The general form is:

Y=\alpha +\beta X

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.

The dependent variables are also known as response variables.

In this case the dependent variable is the average  change in rent for a 1-bedroom apartment.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.

The independent variables are also known as the predictor variables.

In this case the independent variable is the average income in a city.

So, for an increase of $5,000 in incomes the average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.

6 0
2 years ago
a rectangular piece of paper 71 cm long and 10m wide . a cylinder is formed by rolling the paper along its length , find volume
natka813 [3]

Answer:

Volume=355 cm³

Step-by-step explanation:

I assume it should be 10 cm, not 10 m.  If it is 10 m, everything will have to be adjusted.

Circumference = 2\pir

10=2\pir

10÷2\pi=r

1.59=r

V=\pir²h

V=\pi(1.59)(71)

v=355

7 0
2 years ago
COHEA 8th Grade Test 1
abruzzese [7]

Answer:d

Step-by-step explanation:

7 0
2 years ago
A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cre
noname [10]
The figure shown below illustrates the problem.

The volume of the empty cone is
V₁ = (1/3) π r²h

The volume of the sphere is
V₂ = (4/3) π r³

Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r

Answer:
The height of the cone is 4 times greater than the radius f the cone.

5 0
2 years ago
Other questions:
  • Solve the equation.<br><br> −10x + 1 + 7x = 37
    6·2 answers
  • Find the simplified product b-5/2b x b^2+3b/b-5
    10·2 answers
  • Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is
    10·2 answers
  • In which subject did students decline the most from 2000 to 2003?
    15·1 answer
  • At the restaurant, the cost of the meal before tax was $40. The tax is 8.5%, and Sheri wants to leave at least an 18% tip. Expla
    10·3 answers
  • One of your employees is bidding on a carpet installation job. They estimate that it will take 3 hours to install 12 square yard
    10·2 answers
  • Choose the function whose graph is given by:
    10·2 answers
  • The chicken coup at the petting farm is 10 by 14 feet. The farm would like to double the current area
    6·1 answer
  • What is the value of x?
    8·2 answers
  • A circle rolls once, without slipping, along the outside of a square with sides of length 4 inches, and returns to its starting
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!