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Kitty [74]
3 years ago
7

Helpppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0
The solution represents the rate is 5 because u have to divide
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The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha
Xelga [282]

Answer:

The average value of f over the interval [-2,5] is \frac{10}{7}.

Step-by-step explanation:

Let suppose that function f is continuous and integrable in the given intervals, by integral definition of average we have that:

\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6 (1)

\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20 (2)

By Fundamental Theorems of Calculus we expand both expressions:

\frac{F(3)-F(-2)}{3-(-2)} = -6

F(3) - F(-2) = -30 (1b)

\frac{F(5)-F(3)}{5-3} = 20

F(5) - F(3) = 40 (2b)

We obtain the average value of f over the interval [-2, 5] by algebraic handling:

F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)

F(5) - F(-2) = 10

\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}

\bar f = \frac{10}{7}

The average value of f over the interval [-2,5] is \frac{10}{7}.

4 0
3 years ago
B oooooooooooooooooo​
Andrej [43]

Answer:

Please stop with this unless its for math. Others need more help :)

Step-by-step explanation:

Unless this was a real math problem please tell me <u>otherwise. </u>

3 0
3 years ago
Shannon has 1 nickel, 2 dimes, and 5 unknown coins totaling $0.81. What kind of coins does Shannon have and how many are there o
AlekseyPX

Answer:

The 5 unknown are 1 quarter, 3 dimes, and 1 penny.

7 0
3 years ago
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A rectangle measures sixteen centimetres by three centimetres what is its area
harkovskaia [24]
A = bh
b = 16
h = 3
A = 16*3
A = 48 square centimenters
5 0
3 years ago
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What is the product in simplest form? State any restrictions on the variable.
Masteriza [31]
I factor it because you can't simplify

2x-8=2(x-4)
X^2+5x+4=(x+1)(x+4)
X^2-16=(x-4)(x+4)
X^2+8x+16=(x+4)(x+4)
8 0
4 years ago
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