How I write tens thousands

Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the

Llana [10]

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

The axis of symmetry of a parabola is the vertical line through its vertex.

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The equation is written in vertex form:

f(x) = a(x -h)² +k . . . . . vertex (h, k), scale factor 'a'

The vertical line through the vertex is x=h.

Your equation is ...

f(x) = -2(x -4) +2

so (h, k) = (4, 2) and the line of symmetry is x=4.

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The given equation can be written in vertex form:

g(x) = 5x² -10x +7

g(x) = 5(x² -2x) +7

g(x) = 5(x² -2x +1) +7 -5 . . . . complete the square

g(x) = 5(x -1)² +2

so (h, k) = (1, 2) and the line of symmetry is x=1.

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Your problem statement tells us ...

h(x) = -(x +2)² +2

so (h, k) = (-2, 2) and the line of symmetry is x=-2.

The coordinates of the vertex can also be read from the graph: (-2, 2).

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<h3>order</h3>

The rank of the functions is the order of {-2, 1, 4}, or h(x), g(x), f(x).

7 0

2 years ago

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample

nataly862011 [7]

The probability of the sample is 0.5 or 50%

<u>Explanation:</u>

Given:

Mean, μ = 20

Standard deviation, δ = 1.3

Probability of sample being less than 20.1 = ?

P (x < 20.1) = 20.1 - μ / δ √n

P (x < 20.1) = $\frac{20.1 - 20}{1.3\sqrt{61} }$

= 0.0098

P( x < 20.1) = P(z < 0.0098)

P (z < 0.0098) = 0.5

The value of P is found out using a z score table.

Therefore, probability of the sample is 0.5 or 50%

7 0

3 years ago

The ratio of the measure of the acute angle in a right triangle is 1/2 . Find the measures of the two angles

AleksandrR [38]

30° and 60°.

<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

The acute angle ⇒ an angle of less than 90°.
The right angle ⇒ an angle of exactly 90°.
A right triangle ⇒ a triangle in which one angle is a right angle.
The interior angles ⇒ the angles inside a triangle.
All the interior angles in a triangle , i.e., $\boxed{ \ \angle A + \angle B + \angle C = 180^0 \ }$

<u>Given that:</u>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

$\boxed{ \ 90^0 + x + 2x = 180^0 \ }$

Both sides subtracted by 90°.

$\boxed{ \ x + 2x = 180^0 - 90^0 \ }$

$\boxed{ \ 3x = 90^0 \ }$

Both sides divided by 3.

We get $\boxed{ \ x = 30^0 \ }$

We substitute the value of x back into B and C.

$\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}$

We have succeeded in getting the measures of the two angles.

<h3>Learn more</h3>

Undefined terms needed to define angles brainly.com/question/3717797
What is 270° converted to radians brainly.com/question/3161884
A triangle is rotated 90° about the origin brainly.com/question/2992432

Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles

4 0

3 years ago

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Math question Informatin in dot plots

kozerog [31]

Answer:

Step-by-step explanation:

Range = difference between the highest and the lowest

Mode = Data that occurs the most time

Median = Arrange the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle terms.

1) Range = 28 -21 = 7

Mode = 25

Number of data (Count the total dots) = 14

Median = average of 7th and 8th term

Median = (25+25)/2 = 50/2 = 25

2) Range = 0.18 - 0.11 = 0.07

Mode = 0.15 and 0.16

Number of data = 23

Median =12th term = 0.15

8 0

3 years ago

What is the slope of 2x-1=-3y

torisob [31]

I think its -1 i not very smart so it probably wrong

5 0

3 years ago

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