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VladimirAG [237]
2 years ago
11

Which is the vertex of x^2 + 10x = - 17?

Mathematics
1 answer:
Dafna11 [192]2 years ago
3 0

Answer:

(-5, -8)

Step-by-step explanation:

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).

x^2 + 10x = - 17

x^2+10x+17=0

x^2+2*5x+25 - 8=0

(x+5)^2-8=0

h=-5, k= -8

vertex is (-5, -8)

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Step-by-step explanation:

Solution:-

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                Sample mean ( x^ ) = 12.3 mins

                Sample standard deviation ( s ) = 3.2 mins

- The sample taken was random and independent. We can assume normality of the sample.

- First we compute the critical value for the statistics.

- The z-distribution is a function of two inputs as follows:

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Compute: z-critical = z_0.025 = +/- 1.96

- The confidence interval for the population mean ( u ) of  walking times is given below:

                      [ x^ - z-critical*s / √n  ,   x^ + z-critical*s / √n  ]

Answer:        [ 12.3 - 1.96*3.2 / √24  ,  12.3 + 1.96*3.2 / √24  ]

                   

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3 years ago
Solve the equation : 4x-(-2)=18
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\large\boxed{ \sf{Answer}}

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W(\frac{9}{7},\frac{51}{7} )

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

x= \frac{mx_2+nx_1}{m + n}

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x= \frac{21 - 12}{4 + 3}

x= \frac{9}{7}

The y-coordinates is given by;

y= \frac{my_2+ny_1}{m + n}

y= \frac{3(13)+4( 3)}{4 + 3}

y= \frac{39+12}{4 + 3}

y= \frac{51}{7}

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W(\frac{9}{7},\frac{51}{7} )

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