Answer:
y=3x
Step-by-step explanation:
If y is the total distance from the shore and it increases by 3 miles every hour, then by plugging in the amount of hours that have passed into x we will find the distance they have traveled. For example, if they have been out for 5 hours then you would do y=3(5) which would be 15 miles from the shore.
Hope this helps :)
The function given in the question is
<span>g(x) = 4x - 5
When x = 2, then
g(2) = (4 * 2) - 5
= 8 -5
= 3
When x = - 4, then
g(-4) = (4 * -4) - 5
= - 16 - 5
= - 21
From the above deduction, it can be concluded that the correct option among all the options given in the question is the third option or "</span><span>The value of g(2) is larger than the value of g(-4)". I hope that the procedure is clear enough for you to understand.</span>
Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
Answer:
Step-by-step explanation:
x/87 = 22/11
Multiply both sides by 87
x= 22/11 * 87
x= 1914/11
x= 174
