If b = 1/2x −1/y, then what is an expression for 2/b in terms of x and y?

Answers

Answer 1

Answer:

Final answer:

After rearranging the given formula to put b on one side, we found the reciprocal of b to be 1/b = 2y/(y-2x). Multiplying by 2 gives 2/b = 4y/(y-2x) in terms of x and y.

Explanation:

To find an expression for 2/b in terms of x and y, let's first rearrange the question's provided formula, b = 1/2x - 1/y, to express b on one side of the equation. This rearrangement allows us to then find the reciprocal of b, which is 1/b. Following that, we can multiply 1/b by 2 in order to give us the expression for 2/b.

With our initial formula, b = 1/2x - 1/y, if we multiply each term by 2y, the formula then becomes 2yb = y - 2x. Rearranging this formula gives us b = (y-2x)/2y. Once we have our rearranged formula, we can find the reciprocal of b, which is 1/b. Therefore, 1/b = 2y/(y-2x).

Finally, to find our desired expression, the expression of 2/b in terms of x and y, we multiply our expression of 1/b by 2, resulting in: 2/b = 4y/(y-2x).

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The graph below shows a scatter plot and the line of best fit relating the ages of children and the total number of times they have visited the doctor.Use the line of best fit to estimate the age of a child who has visited the doctor 40 times.

A. 14 years old
B. 13 years old
C. 12 years old
D. 11 years old

Answers

Answer:

The correct option is C.

Step-by-step explanation:

The graph below shows a scatter plot and the line of best fit relating the ages of children and the total number of times they have visited the doctor.

If a line passes through two points then the equation of line is

$y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

From the given graph it is clear that the line of best fit passes through the points (0,0) and (3,10). So, the equation of best fit line is

$y-0=(10-0)/(3-0)(x-0)$

$y=(10)/(3)x$ .... (1)

The equation of best fit line is $y=(10)/(3)x$ . Where, x is age in year and y shows the total number of visits to the doctor.

We need to estimate the age of a child who has visited the doctor 40 times.

Substitute y=40 in equation (1), to find the value of x.

$40=(10)/(3)x$

Multiply both sides by 3.

$120=10x$

Divide both sides by 10.

$12=x$

The value of x is 12. It means the age of a child who has visited the doctor 40 times is 12.

Therefore the correct option is C.

The kid is around 12 years old that visits the doctor 40 times

Which of the following points lie on the line that contains the points P (3, 3) and Q (9, 21)?

Answers

Answer: B and C

Step-by-step explanation:The line that contains the points P (3, 3) and Q (9, 21) can be represented by the equation y = 3x + 6 1. To determine which of the following points lie on this line, we can substitute the x and y coordinates of each point into the equation and check if it holds true.

Let’s start with point A (1, 5). Substituting x = 1 and y = 5 in the equation, we get:

5 = 3(1) + 6

This is not true. Therefore, point A does not lie on the line.

Next, let’s check point B (6, 15). Substituting x = 6 and y = 15 in the equation, we get:

15 = 3(6) + 6

This is true. Therefore, point B lies on the line.

Finally, let’s check point C (12, 33). Substituting x = 12 and y = 33 in the equation, we get:

33 = 3(12) + 6

This is true. Therefore, point C lies on the line.

Therefore, points B and C lie on the line that contains points P and Q.

The weigh of darrins phone is 3.405 ounces. what is 3.405 written in expanded form

Answers

3 x 1 + 4 x 1/10 + 5 x 1/1,000

2x + 3y = 15
x + y = 6

Answers

Answer:

y=3

x=3

Step-by-step explanation:

2x +3y=15

2x-2y=-12

y=3

x=3

In a appropriate environment, guppies reproduce at an astounding rate. A population of reproducing guppies quadruples every month. How many Guppies will there be after 6 months if the beginning population is only 6 guppies?a)24,576
b)144
c)46,656
d)1,296

Please help! I don't understand!