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Ulleksa [173]
3 years ago
8

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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6 0
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.

7 0
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
5 0
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



3 0
3 years ago
Read 2 more answers
1. What is the length of the diagonal?<br> a²+ b²= c²<br> a 6 in. 'cin. I find c-<br> 6 in.
Aleksandr [31]

Answer:

I dont think you pasted the answer right... If you comment i can try and help you

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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