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rusak2 [61]
3 years ago
7

Find f(x)+g(x), given f(x)=x^2-8 and g(x)=-2-x^2 Help please show your work please

Mathematics
1 answer:
swat323 years ago
5 0

Answer:

\left(x^{2-8}\right)+\left(-2x^2\right)=\frac{1}{x^6}-2x^2

Step-by-step explanation:

\left(x^{2-8}\right)+\left(-2x^2\right)

=x^{2-8}-2x^2

=x^{-6}-2x^2

=\frac{1}{x^6}-2x^2

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The points ​(10​,14​) and ​(35​,49​) form a proportional relationship. Find the slope of the line through the points. Then use t
Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5  or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


#SPJ1

6 0
1 year ago
Write out the following proportions in words. a. 7 :28 = 2 : 8 b. 3⁄1 = 18⁄6 c. 9 : 72 = 2 : 16 d. 81⁄9 = 45⁄5
Lerok [7]
1) Proportion a.

7 : 28 = 2 : 8

That means that the ratio 7 / 28 is equal to the ratio 2 : 8. 

You can verify the equality by simplifying to the simplest form:

     7 : 28 = 1 / 4 simplest form
     2 : 8 = 1 / 4 simplest form, then the proportion is right.

In words that is 7 is to 28 as 1 is to 4 ← answer


2) Proportion b.<span>. 3⁄1 = 18⁄6
</span><span>
</span><span>
</span><span>In words: 3 is to q as 18 is to 6 ← answer
</span><span>
</span><span>
</span><span>You can verify the proportion by simplifiying the second fraction:
</span><span>
</span><span>
</span><span>     18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
</span><span>
</span><span>
</span><span>3) Proportion c. 9 : 72 = 2 : 16
</span><span>
</span><span>
</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
</span><span>
</span><span>
</span><span>Proove the proportion:
</span><span>
</span><span>
</span><span>     9 / 72 = 1 / 8
</span><span>
</span><span>
</span><span>     2 / 16 = 1 / 8
</span><span>
</span><span>
</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>

In words: 81 is to 9 as 45 is to 5 ← answer


Proove it: 
      81 / 9 = 9
      45 / 9 = 9
8 0
3 years ago
Read 2 more answers
Can someone please help me
mrs_skeptik [129]

Step-by-step explanation:

5x=4x+12(corresponding angle)

5x-4x=12

x=12

if it is correct answer then please follow me

6 0
2 years ago
A certain shade of green paint is made from 5 parts yellow mixed with three parts blue. If 2 cans of yellow are used, how many c
vekshin1
5 Yellow = 3 Blue 
2 Yellow =  3/5 *2 = 6/5 Blue, 1.2 cans of Blue .
<u>Award brainliest if helped!</u>
6 0
3 years ago
DUE TOMORROW GIVING BRAINLIEST!
Stells [14]

Answer:

I gotcha.

Step-by-step explanation:

Condensation - water which collects as droplets on a cold surface when humid air is in contact with it.

Pressure - continuous physical force exerted on or against an object by something in contact with it.

Temperature - the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Thermal energy - (also called heat energy) is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other. The energy that comes from the temperature of the heated substance is called thermal energy.

<h2>there</h2>
6 0
3 years ago
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