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Kisachek [45]
3 years ago
8

Solve for x. Show your work. - x < -12

Mathematics
1 answer:
timama [110]3 years ago
8 0
- x \ \textless \  -12\\x\ \textgreater \ 12
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PLZ HELP! ASAP!!! I WILL GIVE BRAINLIEST
Ira Lisetskai [31]

Answer:

see explanation

Step-by-step explanation:

Using cross- products, that is

\frac{a}{b} = \frac{c}{d} then ad = bc

Given the ratios

\frac{4}{14} and \frac{6}{21}

Then equating and using cross- products

If both sides equate then the ratios are equivalent

\frac{4}{14} = \frac{6}{21}, then

4 × 21 = 6 × 14 ⇒ 84 = 84

Both sides are equal thus the ratios are equivalent

8 0
2 years ago
8.8 - 3.4 with using mental method<br> step by step explanation
Scrat [10]

8.8-3.4=5.4

Just subtract 8-3 and 8-4 and you'll get 5.4

Hope it helps!

*************************************************

Brainliest please if you found my answer helpful! :)

4 0
3 years ago
The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 t
pashok25 [27]
Giving the table below which shows <span>the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.
</span>
Year:        1984     1989     1993     1997     2001     2003

Percent:    7.8       16.3       26.2      38.9     49.2      62.1

The scatter plot of the data is attached with the x-axis representing the number of years after 1980 and the y-axis representing the percent increase <span>of donations made on behalf of a non-profit organization.

To find the equation for the line of regression where </span><span>the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.
\begin{center}&#10;\begin{tabular}{ c| c| c| c| }&#10; x & y & x^2 & xy \\ [1ex] &#10; 4 & 7.8 & 16 & 31.2 \\  &#10; 9 & 16.3 & 81 & 146.7 \\ &#10;13 & 26.2 & 169 & 340.6 \\ &#10;17 & 38.9 & 289 & 661.3 \\ &#10;21 & 49.2 & 441 & 1,033.2 \\ &#10;23 & 62.1 & 529 & 1,428.3 \\ [1ex]&#10;\Sigma x=87 & \Sigma y=200.5 & \Sigma x^2=1,525 & \Sigma xy=3,641.3  &#10;\end{tabular}&#10;\end{center}
</span>
Recall that the equation of the regression line is given by
y=a+bx
where
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{200.5(1,525)-87(3,641.3)}{6(1,525)-(87)^2}  \\  \\ = \frac{305,762.5-316793.1}{9,150-7,569} = \frac{-11,030.6}{1,581} =-6.977
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{6(3,641.3)-(87)(200.5)}{6(1,525)-(87)^2}  \\  \\ = \frac{21,847.8-17,443.5}{9,150-7,569} = \frac{4,404.3}{1,581} =2.7858

Thus, the equation of the regresson line is given by
y=-6.977+2.7858x

The graph of the regression line is attached.

Using the equation, we can predict the percent donated in the year 2015. Recall that 2015 is 35 years after 1980. Thus x = 35.

The percent donated in the year 2015 is given by
-6.977+2.7858(35)=-6.977+97.503=90.526

Therefore, the percent donated in the year 2015 is predicted to be 90.5

7 0
3 years ago
The product of 8 and the sum of a number x and 3
Olin [163]

Answer:

8(x+3)

Step-by-step explanation:

thats the answer

7 0
3 years ago
Read 2 more answers
Solve for x: [x - 2 + 10 = 12
Monica [59]

Answer:x-2+10=12

We move all terms to the left:

x-2+10-(12)=0

We add all the numbers together, and all the variables

x-4=0

We move all terms containing x to the left, all other terms to the right

x=4

Step-by-step explanation:

5 0
3 years ago
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