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True [87]
2 years ago
7

What is the equation of the axis of symmetry for this function? H(x) = -X2 + 10x - 11 x = -5 0 x= -10 x = 5 x = 10

Mathematics
1 answer:
siniylev [52]2 years ago
8 0

Given:

The equation of a quadratic function is:

H(x)=-x^2+10x-11

To find:

The equation of the axis of symmetry for the given function.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then the equation of the axis of symmetry is:

x=-\dfrac{b}{2a}        ...(i)

We have,

H(x)=-x^2+10x-11

Here, a=-1,b=10,c=-11. So, the equation of axis of symmetry by using (i), is

x=-\dfrac{10}{2(-1)}

x=-\dfrac{10}{-2}

x=5

Therefore, the correct option is C.

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In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the re
Ronch [10]

Answer:

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

                                     men                            women

voted                           2777                            3466

did not vote                  1444                             2313

By chi square test we can find the relationship between gender and participation in the election

<em>X^2 = \frac{ N(ad-bc)^2}{(a+c)(b+d)+(a+b)(c+d)}</em>

where

a represent  = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

<em>X^2 = \frac{ 10000(2777*2313-3466*1444)^2}{(2777+1444)(3466+2313)+(2777+3466)(1444+2313)}</em>

<em>X^2 = = 35.159</em>

HENCE REQUIRED TEST STATICS IS 35.19

3 0
3 years ago
Find the value of x that make it true
lesantik [10]

Answer:

Step-by-step explanation:

1). 10 = \frac{1+7x}{7+x}

   10(7 + x) = 1 + 7x

   70 + 10x = 7x + 1

   10x - 7x = 1 - 70

   3x = -69

   x = -23

2). 0.2 = \frac{6+2x}{12+x}

    0.2(12 + x) = 6 + 2x

    2.4 + 0.2x = 6 + 2x

    2.4 - 6 = 2x - 0.2x

    1.8x = -3.6

    x = -2

3). 0.8 = \frac{x}{x+0.5}

    0.8(x + 0.5) = x

    0.8x + 0.4 = x

    x - 0.8x = 0.4

    0.2x = 0.4

    x = 2

4). 3.5 = \frac{4+2x}{0.5-x}

    3.5(0.5 - x) = 4 + 2x

    1.75 - 3.5x = 4 + 2x

    -3.5x - 2x = 4 - 1.75

    -5.5x = 2.25

     x = -\frac{2.25}{5.5}

     x = - \frac{9}{22}

6 0
2 years ago
Which equations represent functions? 2x+3y=10. 4x=16. 2x - 3 =14. 3y=18. 14.6=2x
Vlad [161]
2x + 3y = 10 -> y = -2/3x + 10/3 it's a function

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2x - 3 = 14 -> x = 8.5 it's not a function

3y = 18 -> y = 6 it's a function

2x = 6 -> x = 3 it's not a function
8 0
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Your answer to the question is 15/2 which in decimal form is 7.5
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Arisa [49]

Answer:

B. $ 1.30

Step-by-step explanation:

4 0
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