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kvasek [131]
3 years ago
5

The width of a rectangle is 10cm less than the length. If the perimeter is 52, what

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer:

hope this will help you

please mark me brain list pleas please

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Let f(x)=4x^2+3x−1/4x^2+9x+5 and g(x)=4x^2+7x−2/x^2−4. Simplify: f(x)÷g(x) f(x)÷g(x)=______
Neporo4naja [7]

Answer:

\frac{x-2}{4x+5}

Step-by-step explanation:

Given

\frac{4x^2+3x-1}{4x^2+9x+5} ÷ \frac{4x^2+7x-2}{x^2-4}

Factorise numerator / denominator of both fractions

= \frac{(4x-1)(x+1)}{(4x+5)(x+1)} ÷ \frac{(4x-1)(x+2)}{(x-2)(x+2)}

Cancel common factors on numerator/ denominator of both fractions

= \frac{4x-1}{4x+5} ÷ \frac{4x-1}{x-2}

Change ÷ to × and turn second fraction upside down

= \frac{4x-1}{4x+5} × \frac{x-2}{4x-1}

Cancel the common factor 4x - 1 on numerator/ denominator, leaving

\frac{x-2}{4x+5}

8 0
4 years ago
Two functions f and g are defined on the set R of real numbers by f(x) = 2x - 1 and g(x) =x² + 1. Find the value of <img src="ht
stealth61 [152]

Answer:

\frac{11}{2}

Step-by-step explanation:

To obtain the inverse of f(x)

let y = f(x) and rearrange making x the subject, that is

y = 2x - 1 ( add 1 to both sides )

y + 1 = 2x ( divide both sides by 2 )

\frac{y+1}{2} = x

Change y back into terms of x with x = f^{-1}(x) , thus

f^{-1}(x) = \frac{x+1}{2}

Evaluate g(3) and substitute the value obtained into f^{-1}(x)

g(3) = 3² + 1 = 9 + 1 = 10, then

f^{-1} (10) = \frac{10+1}{2} = \frac{11}{2}

6 0
4 years ago
Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are l
harina [27]

Answer:

Step-by-step explanation:

          Steps                                     Property

x(1 + y) + y(2 + x)                           Given

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

5 0
3 years ago
What is 5 perecnt of 15,948
nekit [7.7K]

Answer:

797.4

Step-by-step explanation:

Hope this Helps! :p

6 0
3 years ago
Read 2 more answers
"he residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 5. If there were 3
charle [14.2K]

Answer:  5742

================================================

Work Shown:

x = number of yes votes

(number who said yes)/(number who said no) = 4/5

x/3190 = 4/5

5x = 3190*4 .... cross multiply

5x = 12760

x = 12760/5 ... divide both sides by 5

x = 2552

There were 2552 people who voted yes

The total number of votes is 2552+3190 = 5742

5 0
3 years ago
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