The difference is 15 mph .
Answer:
The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A
Step-by-step explanation:
Let us solve the question
<em>From the given graph</em>
∵ The arrow starts from 1 and pointed to the left (negative part)
∵ The starting point of the arrow is bold
∴ The sign of the inequality is ≤ (smaller than or equal)
→ That means the solution of the inequality is all the numbers ≤ 1
∴ The solution of the inequality is n ≤ 1
→ Look at the choices and find which one has the sign ≤ and check if
it will give the same solution or not
∵ The inequality is 2n + 5 ≤ 7
→ Subtract 5 from both sides
∴ 2n + 5 - 5 ≤ 7 - 5
∴ 2n ≤ 2
→ Divide both sides by 2
∴ n ≤ 1
∵ The inequality gives the same solution of the given graph
∴ The inequality matches the graph is 2n + 5 ≤ 7
Answer:
2<x<6 should be the right answer
Step-by-step explanation:
the absolute value of x-4 + 4
x+4<2
X (Time in Hours) y (Distance)
0 900
1 850
2 800
3 750
The y-intercept of this function would be the value of y when x = 0
Reading from the table, when x = 0, y = 900
Interpreting this value it means that initially, the distance of the car from its destination is 900 miles
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PART B
The rate of change is calculated by finding the vertical and horizontal distance between two points
The decrease is the same value every time; for every hour, there's a decrease of 50 miles.
So, the rate of change is 50 miles per hour
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PART C
The function is in the straight line equation form: y = -50x + 900
The value -50 represents the negative slope (the decrease in distance)
The value 900 represents the y-intercept
The car reaches its destination when y = 0, so the value of x would be
0 = -50x + 900
50x = 900
x = 900/50
x = 18 hours
The domain of the function is 0 ≤ x ≤ 18
