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Ray Of Light [21]
3 years ago
11

The length of a rectangle is 3ft less than double the width, and the area of the rectangle is 14ft^2 find the dimensions of rect

angle.
Mathematics
1 answer:
german3 years ago
6 0

Answer: 4\times 3.5\ ft^2

Step-by-step explanation:

Given

area of the rectangle is A=14\ ft^2

Suppose width is given by w

So, length is l=2w-3

The area of a rectangle is A=l\times w

putting values

\Rightarrow A=(2w-3)w\\\Rightarrow 14=2w^2-3w\\\Rightarrow 2w^2-3w-14=0\\\Rightarrow 2w^2-7w+4w-14=0\\\Rightarrow w(2w-7)+2(2w-7)=0\\\Rightarrow (2w-7)(w+2)=0\\\\\Rightarrow w=\dfrac{7}{2}\ ft

length is l=4\ ft

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Katena32 [7]
<span>1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most 

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

 </span>f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)<span>


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

</span>y=15,000+1.5x
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1.5x = y-15,000


</span>x= \frac{y-15,000}{1.5}
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since we generally use the letter x for the variable of a function, we write g again as:

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tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is 

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Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation </span>f ^{-1}(x)<span>



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3 years ago
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Answer:

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qwelly [4]

The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

<h3>How to simplify the expression?</h3>

The expression is given as:

(-11/2x+30)-2(-11/4x-5/2)

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