All categories

2 years ago

Which graph represents the solution to the system of inequalities below?

Mathematics

1 answer:

Reika [66]2 years ago

3 0

Answer:

The correct option is;

Step-by-step explanation:

The given system of inequalities are;

5·x - 4·y > 4...(1)

x + y < 2...(2)

Representing both inequalities as a function of "y", gives;

For, 5·x - 4·y > 4...(1), we have;

-4·y > 4 - 5·x

y < 4/(-4) - 5·x/(-4)

∴ y < 5·x/4 - 1

For x + y < 2...(2), we have;

y < 2 - x

Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel

The correct option is therefore, B.

You might be interested in

What are the zeros of f(x)=x(x-8)

Flura [38]

Answer:

The zeros are x=0,x=8

Step-by-step explanation:

f(x)=x(x-8)

To find the zeros, we set the equation equal to zero

0 = x(x-8)

Using the zero product property

x= 0 x-8=0

x=0 x=8

The zeros are 0,8

8 0

3 years ago

Read 2 more answers

PLS HELP WILL GIVE BRAINLIEST :)

Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

6 0

2 years ago

Martha earned a gross pay of $1,215,60 last week. Using the fact that Social Security tax is 6.7% of gross pay, determine the

scoray [572]

Answer:

c) $ 75.37

Step-by-step explanation:

The correct question is:

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the

amount of Social security tax deducted from Martha's gross pay

a $7.54

b. $65.37

c. $75.37

d. $75.40

ANSWER:

Martha's gross pay = $ 1,215.60

Social Security Tax = 6.2%

Calculate Social Security tax:

6.2% of 1,215.60

6.2/100 x 1,215.60 = $ 75.37

Therefore, the correct answer is option c: $ 75.37

6 0

3 years ago

If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM

Rus_ich [418]

12.5 feet is the answer.

8 0

3 years ago

Read 2 more answers

What is the equation of a parabola whose vertex is at the origin and whose directrix is y = 3?

frutty [35]

Y^2=4*3*X=12X Hope this helps!

5 0

2 years ago