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hram777 [196]
4 years ago
9

The area of a rectangle is w^2+4w=60 where w is the width. find the width.

Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
6 0

The width of rectangle is 6.

Step-by-step explanation:

Given,

Area of rectangle; w²+4w=60

As w is the width, we will solve the equation to find w.

w^2+4w=60

Subtracting 60 from both sides

w^2+4w-60=0

Factorizing the equation;

w^2+10w-6w-60=0\\w(w+10)-6(w+10)=0\\(w+10)(w-6)=0

Either,

w+10=0         => w=-10

Or,

w-6=0           =>w=6

As width cannot be negative, therefore

Width = 6

The width of rectangle is 6.

Keywords: area, rectangle

Learn more about area at:

  • brainly.com/question/1349456
  • brainly.com/question/1357167

#LearnwithBrainly

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Answer:

you need 100ml of 5X TAE and 400ml of water.

Step-by-step explanation:

You need to use a rule of three:

C_1V_1=C_2V_2

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\left \{ {{C_1= 5X} \atop {C_2=1X}} \right.

and

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V_{TAE} = \frac{V_2*C_2}{C_1}

V_{TAE} = 100ml

Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.

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Given the function f ( x ) = 4 x 2 − 5 x + 7 f ( x ) = 4 x 2 - 5 x + 7 . Calculate the following values: f ( − 2 ) = f ( - 2 ) =
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Given the function f(x) = 4x² - 5x + 7, the output values of f(-2), f(-1), f(0), f(1) and f(2) are 33, 16, 7, 6 and 13 respectively.

<h3>What are the output values of the given numbers in the function?</h3>

Given the function is the question;

  • f(x) = 4x² - 5x + 7
  • f(-2) = ?
  • f(-1) = ?
  • f(0) = ?
  • f(1) = ?
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To determine the output value of f(-2), replace all occurrence of x with -2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-2) = 4(-2)² - 5(-2) + 7

f(-2) = 4×4 + 10 + 7

f(-2) = 16 + 10 + 7

f(-2) = 33

To determine the output value of f(-1), replace all occurrence of x with -1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(-1) = 4(-1)² - 5(-1) + 7

f(-1) = 4×1 + 5 + 7

f(-1) = 4 + 5 + 7

f(-1) = 16  

To determine the output value of f(0), replace all occurrence of x with 0 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(0) = 4(0)² - 5(0) + 7

f(0) = 0 + 0 + 7

f(0) = 7  

To determine the output value of f(1), replace all occurrence of x with 1 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(1) = 4(1)² - 5(1) + 7

f(1) = 4×1 - 5 + 7

f(1) = 4 - 5 + 7

f(1) = 6  

To determine the output value of f(2), replace all occurrence of x with 2 in the function and simplify.

f(x) = 4x² - 5 x + 7

f(2) = 4(2)² - 5(2) + 7

f(2) = 4×4 - 10 + 7

f(2) = 16 - 10 + 7

f(2) = 13

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Learn more about composite function here: brainly.com/question/20379727

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