61/207.4 is 0.29411764705<span>
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All you have to do for this is follow the midpoint formula.
Let me know if the picture is unclear and I'll type it out for you.
The function g(x) is a linear function, and the rate of change over the interval -2 ≤ x ≤ 4 is 6
<h3>How to determine the rate of change?</h3>
The function f is given as:
f(x) =6x - 4
When translated down by 6 units, the rule of translation is:
g(x) = f(x) - 4
So, we have:
g(x) = 6x - 4 - 4
Evaluate
g(x) = 6x - 8
The rate of change over -2 ≤ x ≤ 4 is then calculated using:
g'(x) = [g(b) - g(a)]/[b - a]
So, we have:
g'(x) = [g(4) - g(-2)]/[4 + 2]
Evaluate
g'(x) = [g(4) - g(-2)]/[6]
Calculate g(4) and g(-2)
g(4) = 6 * 4 - 8 = 16
g(-2) = 6 * -2 - 8 = -20
So, we have:
g'(x) = (16 + 20)/6
Evaluate
g'(x) = 6
Hence, the rate of change over the interval -2 ≤ x ≤ 4 is 6
Read more about rate of change at:
brainly.com/question/8728504
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Answer:
A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A
Step-by-step explanation:
The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C
Answer:
0 boxes minimum
Step-by-step explanation:
The mass of the truck and paper must satisfy ...
22.5b + 2948.35 ≤ 4700 . . . . total truck mass cannot exceed bridge limits
22.5b ≤ 1751.65
b ≤ 77.85
The driver can take a minimum of 0 boxes and a maximum of 77 boxes of paper over the bridge.
_____
The question asks for the <em>minimum</em>. We usually expect such a question to ask for the <em>maximum</em>.