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2 years ago

6

To solve the equation ‐2x + 5 = 9 for x, what operations must be performed on both sides of the equation in order to isolate the

variable x?

1 answer:

Kitty [74]2 years ago

8 0

Answer:

b.) Subtracting 5 then dividing both sides by -2

Step-by-step explanation:

Given expression:

⇒ -2x + 5 = 9

To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.

When done so:

⇒ -2x = 9 - 5

⇒ -2x = 4

⇒ -2x/-2 = 4/-2

⇒ x = -2

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

3 years ago

Help plz 30 points!!

egoroff_w [7]

It is A. We have a ratio of

900 workers : 3.2×10⁵

Dividing by 9×10² becomes

1 worker : $\frac{3.2}{9}$ ×10³

3.2/9 is just 0.36 rounded so it is

1 worker : 0.36×10³

or A

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3 years ago

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FrozenT [24]

I think it’s 55 lollll

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3 years ago

Which values for x and y make the statement (x + 5)(y - 6) = 0 true?

-BARSIC- [3]

<span> $||Solving \ for \ x. ||$ </span>

$(x + 5)(y - 6) = 0$

$(x + 5)(y - 6) = 0 :x$

$
x+5=0
 
$ $|Divide \ both \ sides \ by \ y-6|$

$
x=-5
 
$ $|Subtract \ 5 \ from \ both \ sides|$

$||Solving \ for \ y. ||$

$
y-6=0
 
$ $|Divide \ both \ sides \ by \ x+5|$

$
y=6
 
$

$Solution =\ \textgreater \ x = -5, y = 6$

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3 years ago

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FinnZ [79.3K]

Answer:

5/6x + 3 = y

Step-by-step explanation:

The slope intercept form is:

mx + b = y

The slope is 5/6.

The y intercept is 3.

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2 years ago