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In-s [12.5K]
3 years ago
8

What is the answer to this equation h(x)= -9 - x; h(2k-5

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

The answer is h(2k - 5) = -4 - 2k

Step-by-step explanation:

In a function f(x) = y, we can find the value of y for any given value of x

Examples:

  • If f(x) = 2x - 3, and we need to find f(3), that means substitute x by 3 in f(x), so f(3) = 2(3) - 3 = 6 - 3 = 3, that means f(x) = 3 at x = 3
  • If f(x) = 8 - 5x, and we need to find f(a - 2), substitute x by (a - 2) in f(x), so f(a - 2) = 8 - 5(a - 2) = 8 - 5a + 10 = 18 - 5a, that means f(a - 2) = 18 - 5a at x = a - 2

∵ h(x) = -9 - x

- We need to find h(2k - 5), that means substitute x by 2k - 5

∵ x = 2k - 5

∴ h(2k - 5) = -9 - (2k - 5)

- Simplify the right hand side

∴ h(2k - 5) = -9 - 2k - (-5)

- Remember (-)(-) = (+)

∴ h(2k - 5) = -9 - 2k + 5

- Add the like terms in the right hand side

∴ h(2k - 5) = (-9 + 5) - 2k

∴ h(2k - 5) = -4 - 2k

The answer is h(2k - 5) = -4 - 2k

Learn more:

You can learn ore about the functions in brainly.com/question/5337932

#LearnwithBrainly

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Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute
valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

       = 3 - 1 = 2

d.f.D = N - k

        = 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust                      Jet red                 Cloudtran

$\overline X_1 =50.5$           $\overline X_2 =50.07143$        $\overline X_3 =55.71429$

$s_1^2=19.96154$      $s_2^2=14.68681$         $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

         $=\frac{51+51+...+49+49}{35}$

        = 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

     $=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

   $=\frac{127.1143}{2}$

   = 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

    $=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

   $=\frac{669.8571}{32}$

  = 20.93304

The F-test  statistics value is :

$F=\frac{s_B^2}{s_W^2}$

  $=\frac{63.55714}{20.93304}$

  = 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source       Sum of squares    d.f    Mean square    F

Between    127.1143                 2      63.55714          3.036212

Within        669.8571             32      20.93304

Total           796.9714            34

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Solve the following quadratic inequality 2x^2+3x-5&gt;0
madreJ [45]

Answer:

x < -2.5 and x > 1

Step-by-step explanation:

3 0
3 years ago
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Shown below is a blueprint for a rectangular kennel at a pet hotel.
yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

length = L = 23\ feet\\breadth = B = 14\ feet\\

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

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PSYCHO15rus [73]

Answer:

I don't understand the arrangement of the "table."  I'll assume the question wants to know the values of b as a increase from 2 to 6.

Step-by-step explanation:

The resulting table is attached.

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Which graph represents an equation in the form =?<br><br> Please help me!!
Genrish500 [490]

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation y  = x +1, let's replace the value of <em>x</em>:

  • When<em> x = 0</em> → y = 0 + 1 = 1. Therefore, the coordenate is (0, 1).
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Finally, if we draw a line tha cross these 2 points, we will have the graph that represents y  = x +1.

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation y = kx, but we don't know the value of <em>k</em>, so what should we do? It's easy:

<em>k </em>is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If <em>x = 0</em>, so <em>y = 0</em> as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

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With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

8 0
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