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4 years ago

X-6>37 answer of equality

1 answer:

8 0

$x - 6 \ \textgreater \ 37 \\ \\ x \ \textgreater \ 37 + 6 \\ \\ x \ \textgreater \ 43 \\ \\$

The final result is: x > 43.

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Follow the process of completing the square

ArbitrLikvidat [17]

2x^2 + 8x - 12 = 0..divide by 2

x^2 + 4x - 6 = 0

x^2 + 4x = 6...add 4 to both sides of the equation

x^2 + 4x + 4 = 6 + 4

(x + 2)^2 = 10....<== ur constant is 10

x + 2 = (+-)sqrt 10

x = -2 (+ - ) sqrt 10

x = -2 + sqrt 10

x = -2 - sqrt 10

7 0

3 years ago

Leno4ka [110]

Answer:

1400 square units

Step-by-step explanation:

The area can be computed by subtracting the areas of the white rectangles at three corners from the overall 60×30 rectangle.

The upper left corner white space is 10×10 = 100 square units.

The upper right and lower left white spaces are 15×10 = 150 square units each.

Then the shaded area is ...

60×30 -100 -2(150) = 1800 -100 -300 = 1400 . . . square units

_____

<em>Alternate solution</em>

You can extend each of the horizontal edges across the figure to divide it into three rectangles. From the top down, these have dimensions and areas of ...

35×10 +60×10 +45×10 = 10(35+60+45) = 10(140) = 1400 . . . square units

Area of a rectangle is the product of length and width.

8 0

2 years ago

The distribution of raw scores on a particular achievement test has a mean of 500500500 and a standard deviation of 808080. If e

Troyanec [42]

Answer:

Mean will increase by 25 i.e. it will become 75.

And, Standard deviation will remain same i.e. 80.

Step-by-step explanation:

Since, Each score is increased by 25. So, the Mean will increase by 25 i.e. it will become 75. Example: Mean of {4, 5, 6, 7, 8} = 6

and if every observation will increase by 2 then Mean of {6, 7, 8, 9, 10} = 8.

Thus, the Mean will also increase by 2.

Also, Standard deviation measures the dispersion(scatter) of data and it is the distance from the mean. Since there is no change in distance. Thus there will be no change in standard deviation.

Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.

Standard Deviation is the square root of the sum of square of the distance of an observation from the mean.

6 0

3 years ago

In one school year, the students spent a total of 840 hours in their classes. If they have EIGHT different classes, how many hou

ziro4ka [17]

Answer:

280 hours

Step-by-step explanation:

8 0

3 years ago

Hi I really need help with this question

Nady [450]

Since it is as a ratio of 14:31 there has to be a factor of something. Let's assume this factor as x.

Therefore,

14x + 31x = 90
45x = 90
x = 2

So we have a factor of two. Plug x back into the equation.
The larger angle is 31 * 2 = 62 degrees.

8 0

3 years ago

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