<img src="https://tex.z-dn.net/?f=p%5E%7B2%7D%20%2B6p%3Dq%5E%7B2%7D%2B6q.%5C%5Cp%5Cneq%20q.%5C%5CSolve%20for%20p%2Bq." id="TexFo

All categories

2 years ago

rmula1" title="p^{2} +6p=q^{2}+6q.\\p\neq q.\\Solve for p+q." alt="p^{2} +6p=q^{2}+6q.\\p\neq q.\\Solve for p+q." align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Rainbow [258]2 years ago

5 0

Answer:

$p + q = -6$

Step-by-step explanation:

$p^{2} + 6 p = q^{2} + 6q \\p^{2} - q^{2} = 6q - 6p$

$( p + q) ( p-q) = 6 ( q - p )$

$p + q = \frac{6 ( q - p)}{(p-q)} \\p + q = \frac{-6( p - q)}{(p - q)} \\p + q = -6$

You might be interested in

The soccer field at marios school has an area of 6,000 square meters. How can Mario show the area as a whole number multiplied b

Schach [20]

6,000 times 6,000 ten times or 6,000 times 6,000 squared maybe I'm not entirely sure sorry

5 0

3 years ago

What is the y=Mx+b of this equation

Monica [59]

Answer:

$y = - 6x - 8$

Step-by-step explanation:

The y-intercept is where the line itersects the y-axis, which is the dark vertical line. This is -8 represented as the constant in the equation.

To find the slope, find the rise over run. Every time the line goes over 1 it goes down 6, so the slope would be -6.

4 0

2 years ago

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the

Darya [45]

Answer:

Brand 1 Brand 2 Difference

37734 35202 2532

45299 41635 3664

36240 35500 740

32100 31950 150

37210 38015 −805

48360 47800 560

38200 37810 390

33500 33215 285

Sum of difference = 2532+ 3664+740+150 −805+ 560 +390 +285 = 7516

Mean = $d=\frac{7516}{8}$

Mean = $d=939.5$

a) d= 939.5

$\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}$

$=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}$

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, $t_{\frac{\alpha}{2}}=3.499$

Formula for confidence interval $= \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)$

Substitute the values

confidence interval $= 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

confidence interval $= 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$ to $= 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)$

Confidence interval $−843.396\$ to $2722.396$

8 0

3 years ago

Earth titled axis affects the strength of sunlight in different places of earth's surface. If you are in an area that receiving

Anika [276]

near the north or south pole

4 0

3 years ago

What is the best representation of 1 and 3/4?

Rzqust [24]

the best would be 1.75

Step-by-step explanation:

3/4 turned into a decimal is .75 then you would add the 1 making it 1.75.

5 0

3 years ago