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Finger [1]
3 years ago
6

Given the formula for the perimeter of a rectangle where l represents the length and w represents the width. 2(l + w) What does

the 2 represent in this formula? A) The 2 represents the perimeter. B) The 2 represents the two width pairs. C) The 2 represents the two length pairs. D) The 2 represents the two sets of length and width pairs.
Mathematics
1 answer:
kumpel [21]3 years ago
4 0

The 2

A rectagle has 4 sides. There are 2 lengths and 2 widths.

The would be written like this to start with

P = L + L + W + W

P = 2L + 2W             Using the distributive property 2 can be taken outside the brackets

P = (2L + 2W)

P = 2(L + W)              You have shown how the 4 sides can be written more efficiently.

The answer is D <<< Answer

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3 years ago
What is the inverse of the function f(x) = 8x+1
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Answer:

f⁻¹(x) = (x - 1)/8

Or

f⁻¹(x) = 1/8 x - 1/8

Step-by-step explanation:

To find the inverse of a function, switch the "x" and "y" variables, then isolate "y".

Remember <u>"f(x)" is the same thing as "y"</u>. Change from function notation to "y".

f(x) = 8x + 1

y = 8x + 1        

<u>Switch the "x" and "y" variables</u>

x = 8y + 1

<u>Isolate "y"</u>. Move the "y" variable to the left for standard formatting

8y + 1 = x            

8y + 1 - 1 = x - 1               Subtract 1 from both sides

8y = x - 1

\frac{8y}{8}=\frac{x-1}{8}        Divide both sides by 8 and simplify

y=\frac{x-1}{8}                  Inverse equation

y=\frac{1}{8}x-\frac{1}{8}             Slope-intercept form

<u>Use function notation</u>, change "y"

f^{-1}(x)=\frac{x-1}{8}                      Simplified

f^{-1}(x)=\frac{1}{8}x-\frac{1}{8}                   Slope-intercept form

6 0
3 years ago
The next model of a sports car will cost 12.8% less than the current model. The current model costs $38,000. How much will the p
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The cost of next model car is $ 33136.

Step-by-step explanation:

Given,

The cost of current model car is $38000

The next model car is 12.8% less than the current model.

To find the cost of next model

Formula

If the price of object is $x and it decreases r% for next year, the value o the object for next year is = $ x×(100-r)%

So,

The cost of next model = $ 38000×(100-12.8)%

= $ 38000×87.2%

= $ 33136

4 0
4 years ago
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