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2 years ago

(35)(√7) it’s for algebra 2

Mathematics

1 answer:

iVinArrow [24]2 years ago

6 0

Answer:92.6013

Step-by-step explanation:

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3 years ago

Parallelogram ABCD is dilated to form parallelogram EFGH. Side AB is

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Step-by-step explanation:

All you have to do is look at the order of the letters/segments and line them up. Like:

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3 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

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3 years ago

Quiz! Help!

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Answer:

$10.50/1.25 = $10.20

Step-by-step explanation:

hope this helps

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3 years ago

The Daily News offers a 15% discount on a Saturday ad that also runs on Tuesday. Skyler Sporting Company contracts for half-page

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The ad cost for half page Saturday after discount is

15% of 380 = 0.15×380 = 57
380 - 57 = 323

The ad cost for half page Tuesday after discount is

15% of 330 = 0.15×330 = 49.5
330 - 49.5 = 280.5

Cost of the ads for 10 Saturdays and 10 Tuesdays

(10×323)+(10×280.5) = 3230+2805 = 6035

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3 years ago

Read 2 more answers