All categories

3 years ago

Which inequality is represented by the graph?

Mathematics

2 answers:

TiliK225 [7]3 years ago

8 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given a graph of inequality.

We need to find inequality from given options.

From graph , Origin Point is in shaded region. Means origin will satisfy the inequality.

Inequality 1.

y > -2/3x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -2/3x + 1 = 1

LHS < RHS

Thus, This is not the inequality of graph.

Inequality 2.

y < -2/3x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -2/3x + 1 = 1

LHS < RHS

Now put x = 0 , y = 1

LHS = y = 1

RHS = -2/3x + 1 = 1

LHS = RHS

Thus, This is not the inequality of graph.

Inequality 3.

y < -3/2x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -2/3x + 1 = 1

LHS < RHS

Thus, This is the inequality of graph.

Inequality 4.

y > -3/2x + 1

put x = 0 , y = 0

LHS = y = 0

RHS = -3/2x + 1 = 1

LHS < RHS

Thus, This is not the inequality of graph.

Therefore, 3rd Option is correct.

butalik [34]3 years ago

5 0

The answer is y<-3/2x+1

You might be interested in

Find two consecutive odd intefers whose product is 63

nikdorinn [45]

Two consecutive odd integers are known as back-to-back odd whole numbers; one right after the other.
For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes

From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.

I hope this helps!

4 0

4 years ago

Read 2 more answers

Q.17 If 5 - +5* +5 + = 775, then the value of x, where x is a positive integer, is

SIZIF [17.4K]

Answer:

If 5 - +5* +5 + = 775, then the value of x, where x is a positive integer, is

a) 1

7 0

3 years ago

8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D.

Alex

9514 1404 393

Answer:

D. (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

The sum of squares in each case is ...

A. 3² +0² = 9 . . . inside the circle

B. 4² +2² = 20 . . . inside the circle

C. 5² +3² = 34 . . . inside the circle

D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

E. 4² +4² = 32 . . . inside the circle

F. 1² +5² = 26 . . . inside the circle

6 0

3 years ago

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The a

il63 [147K]

Answer:

The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

3 0

3 years ago

A bakery wants to determine the best placement for day-old goods. What type of data collection source do you think the bakery sh

Shtirlitz [24]

Answer: C. The bakery should conduct an observational study

Step-by-step explanation:

From the question, we are informed that a bakery wants to determine the best placement for day-old goods. The type of data collection source that the bakery should use is an observational study.

An observational study is a form of study whereby the individuals who are to be observed are being studied by the researcher and certain conclusions are derived about them. When the bakery conductd an observational study, the behavior of the customers regarding goods placement can be observed.

3 0

3 years ago