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Inessa [10]
3 years ago
15

What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

The average rate of change over the interval is 120

Step-by-step explanation:

For a function f(x) the average rate of change over an interval [a,b] is given as;

f(b)-f(a)/b-a

in this case, a is 2 and b is 4

f(b) is 256 and f(a) is 16

Substituting these values in the equation for rate of change, we have;

(256-16)/(4-2) = 240/2 = 120

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3 years ago
A recipe states that 5 servings of peanuts have 1,250calories. How many calories is 2 servings of peanuts? *
MrMuchimi

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

4 0
3 years ago
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What is the solution to {y>2x+5 (over) y<-3x+5
Alecsey [184]

Look at the picture.



\left\{\begin{array}{ccc}y > 2x+5\\y < -3x+5\end{array}\right\\\\y=2x+5\\for\ x=-2\to y=(2)(-2)+5=-4+5=1\to(-2;\ 1)\\for\ x=0\to y=(2)(0)+5=0+5=5\to(0;\ 5)\\\\y=-3x+5\\for\ x=0\to y=(-3)(0)+5=0+5=5\to(0;\ 5)\\for\ x=2\to y=(-3)(2)+5=-6+5=-1\to(2;\ -1)

8 0
3 years ago
How many hours did they travel during the first two days
bearhunter [10]
They travelled 3 and 5/6 miles, then drove 2 and 2/6 more the next day. To find the total, you must add them up. So...
3 \frac{5}{6}  + 2 \frac{2}{6}  = 5 +  \frac{7}{6}  = 6 \frac{1}{6}
They travelled for 6 and 1/6 hours, or 6 hours and 10 minutes.
4 0
3 years ago
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The bases of a trapezoid are 11 meters and 14 meters. It’s height is 10 meters. What is the area of the trapezoid
Dmitriy789 [7]
Formula for area of a trapezoid: a = [(b1 + b2)/2] x h

Applied:

a = [(11 + 14)/2] x 10
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The area of the trapezoid is 125 meters squared.
8 0
4 years ago
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