Simplify the radical

Mathematics

1 answer:

Brums [2.3K]4 years ago

6 0

√14/12 is the answer

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If your income is $18.00 and the prices of x and y are $4.00 and $2.00, respectively, what quantities of each will you purchase

boyakko [2]

Answer:

2 units of X and 5 units of Y

Step-by-step explanation:

(a) Utility is maximized when (MUx / Price of X) = (MUy / Price of Y)

This condition holds for the following cases

1. X = 4 (MUx / Px = 8 / 4 = 2) and Y = 6 (MUy / Px = 4 / 2 = 2)

2. X = 2 (MUx / Px = 16 / 4 = 4) and Y = 5 (MUy / Px = 8 / 2 = 4)

For the first case Total cost = 4 x $4 + 6 x $2 = $(16 + 12) = $28 (Budget is exceeded).

In the second scenario, Total cost = 2 x $4 + 5 x $2 = $(8 + 10) = $18 (budget is exhausted).

Optimal case contains X = 2 units, Y = 5 units.

6 0

3 years ago

Jamie has a board that is 8 feet long. He cuts the board into three equal pieces. How long is each piece

Sav [38]

So picture a 8feet long board, and you basically cut it into 3 equal pieces as it says. so you should set it up as 8/3 which is 2.6666666. so you can round that up by 2.67 per each equal pieces.

7 0

3 years ago

Read 2 more answers

Pls help this is from khan academy

Lena [83]

Answer:

$y=-3x+7$

Step-by-step explanation:

This is asking you to provide the equation is slope-intercept form:

$y=mx+b$

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).

By looking at the graph, we can find the y-intercept:

$y-intercept=7\\\\m=7$

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).

The slope is represented by $\frac{rise}{run}$ , where the rise is the change in the y-axis and the run is the change in the x-axis.

From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

$\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3$