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Dovator [93]
2 years ago
9

Translate the sentence into an inequality twice the difference of a number and 6 is at least -22 use the variable x for the unkn

own number

Mathematics
1 answer:
almond37 [142]2 years ago
5 0

Answer:

2(n - 6) >= 22

Step-by-step explanation:

2n - 12 >= 22

2n >= 22+12

2n >= 34

n >= 34/2

n >= 17

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A bicycle wheel makes 5 revolutions. Determine how far the bicycle travels in feet. The diameter of the wheel is 32in.
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It's 13 feet I believe 
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3 years ago
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Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

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Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

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Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

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7 0
3 years ago
If a watch cost 40 dollars and you must pay 6.5 sales tax how much will tax be
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Answer:

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Step-by-step explanation:

thank me later

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Answer:

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cot(3x)cot(3x) , x=2π3

Hope this helps :)

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The cost of membership at local country club is $125 per family member per month. Each family also has to pay $75 in service fee
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To write the equation you start with the 125 because it is monthly and it doesn't say how often you pay the 75 dollars so the equation would be c(f)=125x+75
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