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Nina [5.8K]
2 years ago
10

A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nea

rest tenth of a year, would it take for the value of the car to be \$900$900?
Mathematics
1 answer:
Taya2010 [7]2 years ago
5 0

Answer:

15.1

Step-by-step explanation:

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231 students went on a field trip 9 buses were filled and 15 students traveled in cars how many students were in each bus
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231 - 15 = 216 \\ 216 = 9x \\ x = 24
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20= -x + (x squared)<br><br> solve for x
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x = 5

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Determine the corresponding general form of each of the following vertex form
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Answer:

Step-by-step explanation:

(a + b)² =a² + 2ab + b²

(a -b)² = a² - 2ab + b²

1) y = (x -1)²

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y = x² - 2x + 1    

Ans: C

2)y = (x +4)² + 5

y = x² +2*x*4 + 4² + 5

  = x² + 8x + 16 + 5

y = x² + 8x + 21

C

3) y = -(x + 9)²- 10

y = - [x² + 18x + 81] - 10

= -x² - 18x - 81 - 10

y =-x² - 18x - 91

B

4) y = 3(x + 2)² - 18

y =3 [x² + 4x + 4] - 18

y =  3x² + 12x  + 12 - 18

y =3x²  + 12x - 6

A

5) y = -2(x + 1)² - 16

       = -2[x² + 2x + 1] -16

       = -2x² - 4x - 2 - 16

     y = -2x² - 4x -  18

A

6) y = 5(x + 5)²

        =5[x²+ 10x + 25]

y = 5x² +50x + 125

A

7)y = (1/2)(x + 8)² - 8

  y = (1/2) (x² + 16x + 64) - 8

y =  \dfrac{1}{2}*x^{2}+ \dfrac{1}{2}*16x  + \dfrac{1}{2}*64 -8\\\\\\y =\dfrac{1}{2}x^{2}+8x +32 - 8\\\\\\y=\dfrac{1}{2}x^{2} +8x + 24

A

8) y = (x + 3/2)² + 3/4

y = x^{2} +2*x*\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\y=x^{2}+3x+\dfrac{12}{4}\\\\\\y=x^{2}+3x + 3

C

9) y = 2[x² + 16x + 64] - 5x

y = 2x² + 32x + 64 - 5x

y =2x² + 27x + 6

4 0
2 years ago
What is the intercept of this line y = 14 x + 5
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Answer:14x5=70.

Step-by-step explanation:

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What is the center of the circle and radius defined by the following equation?<br><br> x2+y2+4y=5
vovangra [49]

Answer:

Step-by-step explanation:

Alternate forms:

x^2 + y (y + 4) = 5

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Solutions:

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y = sqrt(9 - x^2) - 2

Integer solutions:

x = ± 3, y = -2

x = 0, y = -5

x = 0, y = 1

Implicit derivatives:

(dx(y))/(dy) = -(2 + y)/x

(dy(x))/(dx) = -x/(2 + y)

7 0
3 years ago
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