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nignag [31]
3 years ago
15

If fx = 3x over 5 +3 which of the following is the inverse

Mathematics
1 answer:
Alborosie3 years ago
3 0

Answer:

f^(-1)(x) = -3x/(3x-3)

Step-by-step explanation:

1) replace f(x) by y

● y = 3x/(5x+3)

2) exchange x and y

● y = 3x/(5x+3)

● x = 3y / (3y +3)

3) solve for y

● x = 3y / (3y +3)

● x (3y +3) = 3y

● 3xy + 3x = 3y

● 3xy - 3y = -3x

● y (3x - 3) = -3x

● y = -3x /(3x-3)

4) replace y with f^(-1)(x)

● y = -3x/(3x-3)

● f^(-1)(x) = -3x/(3x-3)

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What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo
Andre45 [30]

Answer:

B. load-distance model

Step-by-step explanation:

A. trial and error

Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts

B. load-distance model

The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.

C. exponential smoothing

This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.

D.process control charts

The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.

E. mean absolute deviation (MAD)

The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.

8 0
3 years ago
Special right triangles
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Answer:

c

Step-by-step explanation:

8 0
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a pair of pants that regularly costs $55 are on sale for 35% off the regular price what is the sale price?​
Alexeev081 [22]

$35.75

100-35=65

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What is 3 to the 4th power in standard form
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Step-by-step explanation:

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Does anyone knows how to do that? <br> I need to solve for x
vesna_86 [32]

Answer:

x=17°

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is 180°.

Now, with all of this information, we can set up the following equation and solve for x:

115+4x-3=180

112+4x=180 (Simplify LHS by combining like terms)

112+4x-112=180-112 (Subtract 112 from both sides of the equation to isolate x)

4x=68 (Simplify)

\frac{4x}{4}=\frac{68}{4} (Divide both sides of the equation by 4 to get rid of x's coefficient)

x=17° (Simplify)

Hope this helps!

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