The answer is D, because you move to the right of the decimal to see if that number is 5 or above. Then you round up, (to 86). :) Hope this was helpful.

4 0

4 years ago

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Find the numbers b such that the average value of f(x) = 4 + 10x − 6x2 on the interval [0, b] is equal to 5.

Tju [1.3M]

Answer:

b = (5±√17)/4 ≈ {0.2192, 2.2808}

Step-by-step explanation:

The average on the interval is found from the integral ...

$\frac{1}{b}\int\limits^b_0 {(4+10x-6x^2)} \, dx =\frac{1}{b}(4b+5b^2-2b^3)\\\\=-2b^2+5b+4$

We want the value of this integral to be 5, so we want to find b such that ...

5 = -2b^2 +5b +4

2b^2 -5b +1 = 0

b^2 -5/2b = -1/2

b^2 -5/2b +25/16 = -1/2 +25/16

(b -5/4)^2 = 17/16

b = (5±√17)/4

The average value of f(x) is 5 on the intervals ...

[0, (5-√17)/4] and [0, (5+√17)/4]

6 0

3 years ago

Plz help I'll mark brainliest.

irga5000 [103]

Answer:

right triangles

always

Step-by-step explanation:

Similar triangles are obtained by rise/run

Since the ratio for all triangles are the same, they have the same slope.

4 0

4 years ago

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Subtract. [−6 14 0]−[5 4−2] Enter your answer in the boxes. [ ]

icang [17]

Answer: answer is 13

Step-by-step explanation: -6 -2 = -8

5 + 4 + 14 = 23

-8 + 23 = 13

3 0

3 years ago