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Mars2501 [29]
3 years ago
8

Consider the function represented by the equation y minus 6 x minus 9 = 0. Which answer shows the equation written in function n

otation with x as the independent variable?
Mathematics
2 answers:
ryzh [129]3 years ago
7 0

Answer:

f(x) = 6x + 9

Step-by-step explanation:

The question is not complete because the are no option to pick from. This is the complete question.

Consider the function represented by the equation y minus 6 x minus 9 = 0. Which answer shows the equation written in function notation with x as the independent variable?

f of x = 6 x + 9

f of x = one-sixth x + three-halves

f of y = 6 y + 9

f of y = one-sixth y + three-halves

writing this in as a function

f(x)-6x-9=0

the question is asking us to write the function in such a way that x is the independent variable

f(x)=6x-9

here x is the dependent variable

to make x independent, we need to solve for x

-9=6x\\

divide both sides by 6 to make x independent

\frac{-9}{6} =x\\\\\\\x=\frac{-3}{2}

zloy xaker [14]3 years ago
5 0

Answer:

<em>f(x)=6x+9</em>

Step-by-step explanation:

Functions have independet variables(the value of the variable could be any number, we have no restrictions) and dependent variaariables(the values of this variables depends of idependent variables)

the problem says that <em>x</em> is the independent variable, so we say that <em>y</em> is a dependent variable. Dependent need to be replaced by funcion notation, in this case we use <em>y=f(x)</em>

So we raplace it in the equation and we have:

<em>f(x)-6x-9=0</em>

we solve for <em>f(x)</em> passing <em>-6x</em> and <em>-9</em> to the right side and changing the signs, and we get:

<em>f(x)=6x+9</em>

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An established company started with 147 employees. After 10 years in business, they now have 283 employees. What is the percent
xeze [42]
So, Increase = New Number - Original Number. Therefore, Increase = 283 - 147 which equals 136.
136 = 283 - 147.
Then you want to divide the increase by the original number and multiply the answer by 100.
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Final Answer: The employee count has increased by 92%. I hope this helps.

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3 years ago
Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED
SIZIF [17.4K]

Answer:

The lenghts of both legs: \frac{15\sqrt{2}}{2}\ inches

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of  any leg of the given triangle by applying the Trigonometric Identity sin\alpha=\frac{opposite}{hypotenuse}:

sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}

Finally, simplifying, we get:

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3 0
2 years ago
List two ways you use energy. How does each example involve a change?
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8 0
3 years ago
What is the slope of the line show belowww
zaharov [31]

Answer:

\boxed{C.\:\: 2}

Step-by-step explanation:

The given line passes through the points,


(x_1,y_1)=(-2,-3) and (x_2,y_2)=(3,7).


We can find the slope using the following;

m=\frac{y_2-y_1}{x_2-x_1}


or


m=\frac{y_1-y_2}{x_1-x_2}


Using the first formula;


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\Rightarrow m=\frac{10}{5}


\Rightarrow m=2


The correct answer is C.

7 0
2 years ago
Read 2 more answers
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