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3 years ago

5+10/x=x+8 Solve the equation with steps

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

7 0

Answer:

2 and -5

Step-by-step explanation:

$5+\dfrac{10}{x}=x+8 \\\\\\-3+\dfrac{10}{x}=x \\\\\\-3x+10=x^2 \\\\\\x^2+3x-10=0 \\\\\\(x+5)(x-2)=0 \\\\\\x=2,-5$

Hope this helps!

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G(x)=3x^2+6x−9<br><br> I need the vertex for this please

aleksley [76]

Answer:

-1, -12

Step-by-step explanation:

you take b which is 6 and make it negative, then you take a and multiply it by 2, which is 6. you then take the 2 numbers and put the -b over 2a in this formula -b/2a giving you -1 as your x value

after you do that, you input the -1 into the equation as x and the value you get out of that (-12) is the y value of the vertex

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Please help me i do not understand explain how you answer the following questions.

dlinn [17]

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3 years ago

How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

miss Akunina [59]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

$\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\$

Following are the graph attachment to this question:

The second function, that is $g(x)= (\frac{2}{3})^x$ is not even a function.

Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.

Reflection in the axis.

In x-axis:

Increase the function performance by -1 to represent an exponential curve around the x-axis.

In y-axis:

Increase the input of the function by -1 to represent the exponential function around the y-axis.

8 0

3 years ago

Read 2 more answers

What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8

Butoxors [25]

<u>Solution-</u>

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

$i_1=\frac{8000\times x\times 1}{100} =80x$

Interest earned by $17,000,

$i_2=\frac{17000\times 1.3x\times 1}{100} =221x$

According to the question,

$\Rightarrow i_1=i_2+276$

$\Rightarrow 221x=80x+276$

$\Rightarrow 221x-80x=276$

$\Rightarrow 141x=276$

$\Rightarrow x=1.96$

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

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3 years ago

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mel-nik [20]

Answer:

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3 years ago