At 2:30, they are 70 miles away, at 2:45, they are 55 miles away.
That means, in 15 minutes, they traveled 15 miles....thats 1 mile per minute.
so 2:45....55 miles away...at 1 mile per minute = 2:45 + 55 minutes =
3:40. <== when they arrive at Grandma's house.
3:40 - 1:00 = 2:40.....it took 2 hrs and 40 minutes for the trip....thats 120 + 40 = 160 minutes <== =so the family lives 160 miles from Grandma's house
Answer:
Attached
Step-by-step explanation:
The inequality given is;
y < -6x +5
Use a graph tool to visualize this as attached
Answer:
5 in^2.
Step-by-step explanation:
Volume = area of the base * height
30 = area of the base * 6
area of the base = 30/6 = 5 in^2.
By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.
<h3>How to determine the value of the inverse of a function</h3>
In this question we must determine the inverse of a given function and evaluate the resulting expression at a given value. First, we apply the following substitution:
f⁻¹(x) = x
x = f(x)
x = (2 · f⁻¹(x) + 1)/(f⁻¹(x) - 4)
Then we clear f⁻¹(x) within the expression:
x · (f⁻¹(x) - 4) = 2 · f⁻¹(x) + 1
x · f⁻¹(x) - 4 · x = 2 · f⁻¹(x) + 1
x · f⁻¹(x) - 2 · f⁻¹(x) = 4 · x + 1
f⁻¹(x) · (x - 2) = 4 · x + 1
f⁻¹(x) = (4 · x + 1)/(x - 2)
Lastly, we evaluate the function at x = 3:
f⁻¹(3) = (4 · 3 + 1)/(3 - 2)
f⁻¹(3) = 13
By concepts of functions, the inverse of the <em>rational</em> function f(x) = (2 · x + 1)/(x - 4) is f⁻¹(x) = (4 · x + 1)/(x - 2), whose value at being evaluated at x = 3 is equal to 13.
To learn more on inverse functions: brainly.com/question/2541698
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The solution of x in the inequality is x > 2
<h3>How to solve for x in the inequality?</h3>
The inequality is given as:
5x + one third(3x + 6) > 14
Rewrite properly as:
5x + 1/3(3x + 6) > 14
Open the brackets
5x + x + 2 > 14
Subtract 2 from both sides of the inequality
5x + x + 2 - 2> 14 - 2
Evaluate the difference
5x + x > 12
Evaluate the like terms
6x > 12
Divide both sides of the inequality by 2
x > 2
Hence, the solution of x in the inequality is x > 2
Read more about inequality at:
brainly.com/question/24372553
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