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3 years ago

R = x(A + B) Solve for A.

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

Answer:

A = $\frac{R}{x}$ - B

Step-by-step explanation:

Given

R = x(A + B) ← divide both sides by x

$\frac{R}{x}$ = A + B ( subtract B from both sides )

$\frac{R}{x}$ - B = A

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3(2−4)=−30 step by step

Margarita [4]

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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

Write these fractions in order size smallest first show you're working 5/12 1/3 4/9 11/27

Bezzdna [24]

First find the lowest common multiple of the denominators which are 12 3 9 and 27 these all go into 108. Next divide 108 by the original denominators for example 108/12 is 9 then times 9 by the numerator which is 5 and you get 45 so the first one is 45/108. Do this for them all and order by the size of the numerator

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3 years ago

Evaluate b - 2 a - c for a = -3, b = 9, and c = -6

saw5 [17]

9-2(-3)+6= 9+6+6 Your answer should be 21 if I read your question correctly

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3 years ago

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Aleksandr [31]

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