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Lera25 [3.4K]
3 years ago
10

Make B the subject of the relation : 1/a is equal to 1/b + c​

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.

1/a - 1/b = 1/c : add 1/b to both sides

1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator

1/a = (1/b)(c/c) + (1/c)(b/b) : simplify

1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match

1/a = (c + b)/bc : multiply both sides by a

1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]

1[bc/(b + c)] = a

a = bc/(b + c)

This will not work if c = -b, because then you would be dividing by zero.

Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6

a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.

Step-by-step explanation:

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The graph shows the probability distribution of a random variable.
Natasha2012 [34]
The answer is 0.50.

P(4<=X<=8)=P(x=4)+ P(x=5)+ P(x=6)+ P(x=7)+ P(x=8)= 0.05+ 0.15+0.15+0.15 +0 = 0.50

Notice that in 8 the line touches the x axis so it’s corresponding probability is 0.
5 0
2 years ago
It says solve for the variable can you explain
jeyben [28]

Answer:

x = 9

Step-by-step explanation:

Since we know that the triangle is a right triangle we also know that the angle would be 90 degrees

However we are only given 56 and 3x+7

Let 3x+7 be u

We know that 56+u=90 so solve for u

u=90-56

u = 34

Now u = 3x + 7 so,

3x + 7 = 34

solve for x,

3x=34-7

3x=27

x=27/3

x=9.

5 0
2 years ago
F(x)=x^2. what is g(x)?
Degger [83]

Answer:

C

Step-by-step explanation:

g(x) = 4x²

g(x) is steeper than f(x) and the ordered pair (1, 4) fits in option C:

g(1) = 4(1)² = 4

7 0
3 years ago
The equation for a circle is ​x^2 − 8x + y^2 - 2y - 8 = 0
Ivanshal [37]

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form use the method of completing the square

Given

x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )

x² - 8x + y² - 2y = 8

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1

(x - 4)² + (y - 1)² = 25 → B

6 0
3 years ago
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots.
andriy [413]

Answer:

$ 1.96

Step-by-step explanation:

Number of spots with outcome of $1 = 9

Number of spots with outcome of $2 = 18

Number of spots with outcome of $10 = 1

Total number of spots = 28

Probability that ball will land on $1 = \frac{9}{28}

Probability that ball will land on $2 = \frac{18}{28}

Probability that ball will land on $10 = \frac{1}{28}

The amount that player should expect to win on average in equal to expected value of the game. Expected value is calculated as the summation of product of probabilities with their respective outcomes.

i.e. for this case:

Expected Value will be:

(1 \times \frac{9}{28})+(2 \times \frac{18}{28})+(10 \times \frac{1}{28})\\\\ =1.96

This means, on average the player should expect to win $ 1.96

7 0
3 years ago
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