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3 years ago

Simplify. (½) ²− 6(2−2/3)

1 answer:

8 0

$\left(\dfrac{1}{2}\right)^2-6\cdot\left(2-\dfrac{2}{3}\right)\\\\=\dfrac{1}{4}-6\cdot2+6\cdot\dfrac{2}{3}=\dfrac{1}{4}-12+2\cdot2\\\\=\dfrac{1}{4}-12+4\\\\=\dfrac{1}{4}-8=\boxed{-7\frac{3}{4}}$

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Find the slope and y-intercept of the graph of 4x-3=36

Oxana [17]

Answer: Slope is undefined or aka infinity, and there is no y-intercept

<u>Step-by-step explanation:</u>

Using Slope-Intercept Form to find the slope and the y-intercept.

First, lets change 4x-3=36 into y=mx+b. When you change it into this form you'll see that it can't go into intercept form because x=39/4 and is a vertical line so the slope is undefined or aka infinity, and there is no y-intercept.

Hope this helps! Have a nice day! ❤

- Cutiepatutie

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4 years ago

Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

$\text{Range} = 234-119 = 115\$$

Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1356}{8} = 169.5$

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 + 2352.25 + 1406.25 + 552.25 + 812.25 = 13406

$\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$$

Variance =

$\sigma^2 = 1915.142\$$

Measure of variance for someone searching for room:

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

5 0

3 years ago

some of the steps in the derivation of the quadratic formula are shown. step 3: –c b^2/4a=a(x^2 b/ax b^2/4a62) step 4a: –c b^2/4

wel

-converting to a common denominator

The terms -c of the left side was converted to -4ac/4a to have the same denominator of b^2/4a.

3 0

3 years ago

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Kipish [7]

Answer:

y=-6/4x-4