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gavmur [86]
2 years ago
12

Use the graph that shows the solution to

Mathematics
1 answer:
Luda [366]2 years ago
6 0

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

f(x) = \dfrac{1 + 2\cdot x}{x}

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

\dfrac{1 + 2\cdot x}{x} = 2 + x

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

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Explain how g is 62 degrees using angle theorem. Ex supplementary angle theorem, ASTT. Etc
bazaltina [42]

Answer:

The exterior angle is 35° + 62° = 97°

And 97° > 35°

And 97° > 62°

Step-by-step explanation:

6 0
3 years ago
Please help and give me an explanation I don’t understand or know if it’s correct
andrezito [222]
Hello :) we got similar answers but i believe you made a few distributing mistakes! hopefully my work makes sense, if not i’ll totally try to explain more

p.s i might be too late whoops

p.p.s i’m in a higher grade but i haven’t done this kinda math in a longgg time haha so if you think i did something wrong trust your gut ✌️

7 0
3 years ago
Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?
vodka [1.7K]
The average rate of change for the function f(x) can be calculated from the following equation
\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }

By applying the last formula on the given equations 
(1) the first function f
from the table f(3π/2) = -2   and   f(2π) = 0
∴ The average rate of f = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ \frac{\pi}{2} }  =  \frac{4}{\pi}

(2) the second function g(x)
from the graph g(3π/2) = -2   and   g(2π) = 0
∴ The average rate of g = \frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi -  \frac{3 \pi}{2} } =  \frac{0-(-2)}{ \frac{\pi}{2} }=  \frac{2}{ 
\frac{\pi}{2} }  =  \frac{4}{\pi}

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
   h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = \frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi -  \frac{3 \pi}{2} } =  \frac{1-(-5)}{ \frac{\pi}{2} }=  \frac{6}{ 
\frac{\pi}{2} }  =  \frac{12}{\pi}

By comparing the results, The <span>function which has the greatest rate of change is h(x)
</span>

So, the correct answer is option <span>C) h(x)</span>
4 0
3 years ago
Help me solve this. Please, it's math.(I suck at math ngl ︺︹︺ )
fredd [130]

Answer:

<u><em>Vertical angles are</em></u><u><em> congruent</em></u><u><em>, so the</em></u>

<u><em>equation </em></u><u><em>3x-6 = 114</em></u><u><em> can be used to find x.</em></u>

<u><em>The value of x is </em></u><u><em>40</em></u><u><em>.</em></u>

<u><em /></u>

<u><em>Convince Me!</em></u>

<u><em>Why can you use an equation when solving for x in</em></u>

<u><em>the diagram?</em></u>

<u><em>You can use the eqution because they are equal to each other. When they are equal to each other, you can find x by using the equation to simplify and get x alone.</em></u>

6 0
2 years ago
How did you get that answer j
gtnhenbr [62]

i answer the questions that relate to the lessons i've learned

6 0
3 years ago
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