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4 years ago

Writing an equation and drawing its graph to model a real-world situation: Advanced

Mathematics

1 answer:

Leokris [45]4 years ago

3 0

Assuming that rent will always be constant.
C= 250×S+ 7500 for S>0

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Complete the steps to solve the radical equation. 7 – x = x2 + 10x + 25 0 = x2 + 11x + 18 The equation has two possible solution

Strike441 [17]

There is no extraneous solution, while true solutions are x= -2 and x = -9

Step-by-step explanation:

We need to find the value of x from the equation:

$7-x = x^2 + 10x + 25$

$x^2 + 11x + 18=0$

Factorizing the equation:

$x^2 + 11x + 18=0\\x^2+9x+2x+18=0\\x(x+9)+2(x+9)=0\\(x+2)(x+9)=0\\x+2=0\,\,and\,\,x+9=0\\x=-2\,\,and\,\,x=-9\\$

So, values of x are: x= -2 and x = -9

Now, finding extraneous solution and true solution

Putting value of x in original equation

x= -2

$7-x = x^2 + 10x + 25$

$7-(-2) = (-2)^2 + 10(-2) + 25\\7+2=4-20+25\\9=4+5\\9=9$

Since -2 satisfies the given equation, so it is true solution.

Putting x = -9

$7-x = x^2 + 10x + 25\\7-(-9)=(-9)^2+10(-9)+25\\7+9=81-90+25\\16=16$

Since -9 satisfies the given equation, so it is true solution.

So, There is no extraneous solution, while true solutions are x= -2 and x = -9

Keywords: solve the radical equation

Learn more about solve the radical equation at:

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7 0

4 years ago

Read 2 more answers

Use the discriminant to determine all values of k which would result in the graph of

Shalnov [3]

Answer:

k > 100

Step-by-step explanation:

y= x²+20x+k

if the graph doesn't intersect the x-axis it means it has no real roots so the discriminat has to be negative so will have imaginary roots

discriminant is

b²-4ac = 20²-4*1*k = 400-4k for this to be negative k has to be more then 100 so will have 400 - a number bigger then 400

k > 100 is the solution

7 0

3 years ago

Envision Geometry 10-1 Circles 22. page 425

Anni [7]

The segment area of the circle that's given in the envision geometry is 2.568.

<h3>How to calculate the segment area?</h3>

It should be noted that the segment area is given as:

= (a/360)π × R² - Area of triangle

= (90/360)π × 3² - (1/2 × 3²)

= 9π/4 - 9/2

= 2.568

In conclusion, the segment area of the circle that's given in the envision geometry is 2.568.

Learn more about geometry on:

brainly.com/question/24375372

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2 years ago

What is 36 percent written as a decimal

Nuetrik [128]

Answer:

The answer will be 0.36 in decimal form

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3 years ago

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What is the value of<br> 83 + 5x, when x = 12?

liq [111]

Answer:143

Step-by-step explanation:

143

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3 years ago

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