M times the quotient of 10 and 7

Graph the system of inequalities presented here then use your graph to answer the following questions:

Nookie1986 [14]

Answer:

Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is a solution of the system of inequalities (is included in the solution area for the system)

Step-by-step explanation:

Part 1) Graph the system of inequalities

we have

$y> 5x+5$ ----> inequality A

The solution of the inequality A is the shaded area above the dashed line $y=5x+5$

The slope pf the dashed line A is positive m=5

The y-intercept of the dashed line A is (0,5)

The x-intercept of the dashed line A is (-1,0)

$y>-\frac{1}{2}x+1$ ----> inequality B

The solution of the inequality B is the shaded area above the dashed line $y=-\frac{1}{2}x+1$

The slope pf the dashed line B is negative m=-1/2

The y-intercept of the dashed line B is (0,1)

The x-intercept of the dashed line B is (2,0)

The solution of the system of inequalities is the shaded area above the dashed line A and above the dashed line B

using a graphing tool

see the attached figure

Part B) Is the point (-2, 5) included in the solution area for the system? Justify your answer mathematically

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

substitute the value of x and the value of y in each inequality

For x=-2, y=5

Verify inequality A

$5>5(-2)+5$

$5>-5$ ---> is true

so

The ordered pair satisfy inequality A

Verify inequality B

$5>-\frac{1}{2}(-2)+1$

$5>2$ ---> is true

so

The ordered pair satisfy inequality B

therefore

The ordered pair is a solution of the system of inequalities (is included in the solution area for the system)

6 0

3 years ago

QUICKKK?!!

Tju [1.3M]

Step-by-step explanation:

the line passing through the points (-7, - 7) and (4,-7).

Slope: (-7+7) /(4+7) = 0/11 = 0

this is a horizontal line

through the points (4,7) and (4, -6).

slope: (-6-7) /(4-4) = -13/0 = oo

this is a vertical line

5 0

3 years ago

Y=4.76x what is the constant of proportionality

zalisa [80]

Answer:

4.76

Step-by-step explanation:

constant of proportionality=slope

slope=m

y=mx+b

m=4.76

4 0

3 years ago

McDonald's sell milkshakes in two sizes a small milkshake contains 300ml and a large milkshake contains 2/3 more, how much does

ad-work [718]

1/3 is 3/3 so 300/3 is 100 so 2/3 is 200 ml more so it holds 500 ml

3 0

3 years ago

Haruka owns an umbrella factory. The revenue,R, she makes from selling n umbrellas is given by the function R(n)=18n, and the pr

RSB [31]

The question is to find an expression for the expenses

Answer:

E (x) =n + 5

Explanation:

The profit is defined as the difference between the revenue and the expenses.

This means that:

profit = revenue - expenses

Now, we rearrange the equation to solve for expenses:

expenses = revenue - profit

From the given, we know that:

expression for revenue is 18n

expression for profit is 17n - 5

Substitute in the equation to get expression for expenses as follows:

E (x) = 18n - (17n - 5)

E (x) = 18n - 17n + 5

E (x) = n + 5

Hope this helps :)

6 0

4 years ago

M times the quotient of 10 and 7​

M times the quotient of 10 and 7