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2 years ago

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Suppose a car is initially worth $20,000, and suppose that after one year, the car is now worth $18,673. Write an exponential fu

nction that models this scenario, and then estimate the value of the car after five years

1 answer:

ArbitrLikvidat [17]2 years ago

4 0

Subtract and it will work

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Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is

Diano4ka-milaya [45]

13 - (x+2) = 8
subtract 13 from both sides
-(x+2) = -5
divide by -1 to get rid of negative
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subtract 2 from both sides
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2 years ago

Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

so

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

so

Is the solution

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