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3 years ago

9

An inequality is shown.

1 answer:

Art [367]3 years ago

4 0

The right answer for the question that is being asked and shown above is that: "d. The value of a number substituted for x is greater than 6.; b. The solution set is {6, 7, 8, …} for x ∈ N."<span> These are the statements and number lines that can represent the inequality. </span>

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7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

<em>step 1</em>

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

<em>step 2</em>

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

7 0

3 years ago

Using the 5 step method

Talja [164]

Answer: the first integer is -6 and the second integer is -4

Step-by-step explanation:

3 0

3 years ago

Gail is 6 years younger than Mark.Let m= Mark’s age which expression equals Gail’s age?

OLEGan [10]

The answer is C M-6

3 0

3 years ago

A loss of 30 yards is less than a loss if 50 yards. Write an equality statement

Dafna1 [17]

100-30=70-50=20
there's your equation

8 0

3 years ago

What mixed number is equal to 6/4

Norma-Jean [14]

1 and a half

............

4 0

3 years ago

Read 2 more answers