Solve for X round to the nearest tenth. Trigonometry For 2,3,5,6,9

The graph of a quadratic function with vertex (1,-2) has the range and the domain respectively, ( -∞, -2 ) and ( -∞, ∞)

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

The graph of a function,

whose vertex is (1, -2)

As it can be seen in the graph,

The given quadratic function has defined value for each value of x,

So, the domain of the given function is real numbers,

x  ∈  ( -∞, ∞)

The maximum value of the function is -2

And minimum value of the function is  -∞

The range of the function is   ( -∞, -2 )

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Answer: Because there is no image or question I have to make a question myself. If Jimmy had X and Samantha has 17 which is 8 more than Tim and Tim has 20 less than Jimmy. What does Jimmy have?

Step-by-step explanation:

First, we isolate X.

X = Tim + 20.

Tim = 11.

11 + 20 = X

So X = 31

Answer:

a creo que debes sacr la raiz cuadrada de los dos aciendo los procesos

Transformation of the given function with a feature of the transformed function.

g(x)=-f(x-3) is the vertical asymptote of x=3

j(x)= f(x+3) is x-intercept of (-2,0)

h(x)=3f(x)-3 is domain of (0, ∞)

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is the vertical asymptote of x=3

j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞), {x | x>0}

h(x) = 3f(x)-3 is domain of (0, ∞)

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Answer:

$270

Step-by-step explanation:

h = number of half hours worked

$75 + $45(h-1) = total cost

3 1/2 hrs = 7 half-hours

$75 + $45(7 - 1) = $270

The number of cubic units needed to add to the figure so that it will have a total volume of 12 cubic units,  4 units

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

There are 2 units  in each back side and front side,

So, there are 4 units on the back and front,

Now the number of units between them,

There are 4 units in between both the sides,

Add all the units,

4 + 4 = 8,

there are total 8 units in this figure

Now, the number of units should be added to these 8 units to get a result of 12 units altogether.

So, subtract the 8 units from the 12 units

12 - 8 = 4,

Hence, The units required are 4

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around 125-6

Step-by-step explanation:

Answer: 62.57 weeks/63 weeks

Step-by-step explanation:

438 divided by 7 = 62.57
Rounded to the nearest week, 62.57 turns to 62.60 which is closer to 63.
The answer is 63 weeks

Answer:d

Step-by-step explanation:

The measure of the angles x, y, and z will be 93°, 93°, and 87°, respectively for the rhombus.

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

As we know that the adjacent angle of the rhombus is supplementary.

As per the given figure, the value of 'x' is given as,

87° + ∠x = 180°

∠x = 180° - 87°

∠x = 93°

Since the opposite angle of the rhombus is congruent to each other.

So ∠y = ∠x

Then ∠y = 93°

And ∠z = 87°

The measure of the angles x, y, and z will be 93°, 93°, and 87°, respectively.

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Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:75%

Step-by-step explanation:3/4 is equal to 0.75

Answer:I earn $26.68 by mowing lawns.

Step-by-step explanation:

The corresponding value of h is less than or equal to 5.

A quadratic function is a polynomial function of the form:

f(x) = ax^2 + bx + c,

where a, b, and c are constants and x is the independent variable. The graph of a quadratic function is a parabola, which is a symmetrical, U-shaped curve.

The set of all feasible dependent variable values based on the input or independent variable constitutes the range of a quadratic function. The direction of the parabola and the value of the y-intercept can be used to establish the range (the constant c).

In mathematics, science, and engineering, quadratic functions are used extensively. Examples include modeling motion, projectile motion, and parabolic reflectors as examples of physical phenomena. They are also utilized in optimization issues where the aim is to discover the highest or lowest value of a given function.

According to question:

The range of a quadratic function is the set of all possible values of the dependent variable, based on the input or independent variable.

From the table, it appears that the range of the function h is all real numbers less than or equal to 5. This is because, for all values of x given in the table, the corresponding value of h is less than or equal to 5. So, the correct answer is:

Of-27, -13, -3, 3, 5}

All real numbers less than or equal to 5

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The volume of the composite figure is 117π ft³ or 368 ft³

The figure shown is made up of a hemisphere and a cylinder.

Total volume of the figure = volume of hemisphere + volume of cylinder

Formula for the Volume of the hemisphere is;

V = ⅔πr³

Radius (r) of hemisphere = 6/2 = 3 ft

Volume of hemisphere = ⅔ * π * 3³

= 18π ft³

Volume of Cylinder is given by the formula;

V = πr²h

radius (r) = 3 ft

height (h) = 11 ft

Volume of cylinder = π * 3² * 11

= 99π ft³

Volume of the figure = 18π ft³ + 99π ft³ = 117π ft³

Volume of the figure to the nearest whole number = 368 ft³

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Answer:

Somethings telling me this is a trick question but the answer is 2.

Step-by-step explanation:

For the function,

F(x)  = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = (x² + 11x +28)/(x² + 8x + 15)

To check whether it is continuous at x = -5

First taking LHL,

[tex]\lim_{h \to \ 0}[/tex] [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]

It is approaching at negative infinity

Now, taking RHL

[tex]\lim_{h \to \ 0}[/tex]  [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]

Again, It is approaching at negative infinity

Hence, here limit doesn't exist so it is not continuous at x = -5

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A bοy walked 7km οn a bearing of 60°. Represented this infοrmation on a diagram given belοw.

A bearing in mathematics is the angle, measured in degrees and anticloοkwise from nοrth. Typically, bearings are given as a three figure bearing. Fοr instance, 30° clockwise from nοrth is typically expressed as 0°.

"Pieces that aid objects' rοtation" are bearings. They suppοrt the rotating shaft that mοves the machinery. Cars, planes, power generatοrs, and οther devices all use bearings.

Tο lessen friction between twο spinning or sliding surfaces, a bearing is a mechanical compοnent.

There are many different types of bearings, including ball and rοller bearings, linear bearings, and mοunted versions that may use either, and they are used for rοtating or linear shaft applicatiοns. Bearings are mechanical assemblies that include rοlling elements and typically inner and οuter races.

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The length of the cable is 4810 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecent/hypotenuse and

tan = opposite/adjacent.

If the angle of depression from the taller platform of 12°, Then the angle of elevation is (90 - 12) = 78°.

We know, cos = adjacent/hypotenuse.

cos78° = 1000/hypotenuse.

hypotenuse = 1000/cos78°.

hypotenuse = 4810 feet.

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Answer:

1022

Step-by-step explanation:

cos 12 = 1000/x

If Eris Orbit. The recently discovered Eris orbits the Sun every 557 years.

In order to calculate the semimajor axis of Eris, we need to plug 557 years into the equation
a=P^2/3

a= 557^0.66666667

a = 67.6971 astronomical units.

a = 67.7 AU (Rounded)

Since the average distance for Pluto from the Sun is 39.3 AU

So,

Since the distance of Eris to the sun is 67.7 AU and Pluto to the sun is 39.5

Difference between the two dwarf planets = 67.7AU - 39.5 AU

Difference between the two dwarf planets = 28.2 AU

Based on the above calculation Eris is about 1.5 times farther from the Sun in comparison to Pluto.

Therefore Its average distance (semimajor axis) from the sun is: 67.7 AU and the difference between the two dwarf planets is 28.2 AU

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The solution:

Exercise 1:  x = -1 and 3.

Exercise 2:  x = 2 and 4.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The graphs of the two quadratic equation.

So, Exercise 1,

-x² + 2x + 3 = 0.

From the graph,

-1 and 3 are the zeros of the equation.

The solution of the equation is,

x = -1 and 3.

Exercise 2,

x² - 6x + 8 = 0.

From the graph,

2 and 4 are the zeros of the equation.

The solution of the equation is,

x = 2 and 4.

Therefore, the solutions of the both the equation are given above.

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Among 60 students the probability that the group plays Field Hockey (F) and Basketball (B) is 0.083.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

From the given Venn Diagram -

The number of students who play Field Hockey (F) is = 18

The number of students who play Soccer (S) is = 10

The number of students who play Basketball (B) is = 7

The number of students who play Field Hockey (F) and Soccer (S) is = 4

The number of students who play Field Hockey (F) and Basketball (B) is = 2

The number of students who play Soccer (S) and Basketball (B) is = 5

The number of students who play Field Hockey (F), Soccer (S) and Basketball (B) is = 3

The number of students who play nothing = 11

The probability to find the students who play  Field Hockey (F) and Basketball (B) is -

Probability = (number of students who play Field Hockey (F) and Basketball (B)) + (number of students who play Field Hockey (F), Soccer (S) and Basketball (B)) / (Total number of students in survey)

Substitute the values in the equation -

Probability = (2 + 3) / 60

Probability = 5 / 60

Probability = 1 / 12

Probability = 0.083

Therefore, the probability value is obtained as 0.083.

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it is not accurate to state that one of the cross sections is a square as it will be a rectangle.

What is a square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

The given figure is a rectangular cuboid

Another name for a three-dimensional orthotope is a right rectangular prism, often known as a rectangular cuboid or rectangular parallelepiped.

Here the side of the cuboid is a rectangle, so the cross-section of that will be a rectangle, not a square.

Hence it is not accurate to state that one of the cross sections is a square.

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Answer:

  incorrect premise

Step-by-step explanation:

You want to know why it is inaccurate to say one of the cross sections of a rectangular prism is a square.

Cross sections parallel to any face will have the same shape as the face. Those may or may not be square, depending on the shape of the face.

However, if a cross section may be made at any angle, there is always a cross section of a rectangular prism that can be a square. The attached figure shows an example.

If a triangle is removed.. from a square of sides 9m. The  area is: 77.25 m².

Area of Square = Side × Side = Side²

Area of Square = 9m × 9m

Area of Square = 81 m²

Area of triangle = 1/2 ×b ×h

Area of triangle = 1/2 × 3m × 2.5m

Area of triangle = 3.75m²

Area of Figure = 81m² - 3.75m²

Area Of Figure = 77.25 m²

Therefore the area is 77.25 m².

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On solving the provided question, we can say that Area of pizza is [tex]\pi*r^2[/tex]=25 pi in^2 Divide that by 8 3.125 [tex]\pi in^2[/tex] => 9.82 cm^2 => [tex]9.8 cm^2[/tex] is the  answer

The size of an area on a surface can be expressed as an area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a planar region or planar region refers to the area of a form or planar layer. The total amount of space filled by a planar (2-D) surface or shape of an object is known as its area. Draw a square on a piece of paper using a pencil. a character with two dimensions. The area of a shape on paper is the space it takes up. Imagine that the square is composed of more compact unit squares.

Area of pizza is [tex]\pi*r^2[/tex]=25 pi in^2

Divide that by 8

3.125 [tex]\pi in^2[/tex] => 9.82 cm^2

[tex]9.8 cm^2[/tex] is the  answer

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The first-year profits (to the nearest hundred dollars) is, $26,701.18.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

In its second year of operation, a local Internet provider's profits were $180,500.

And, This amount was 676% of the company's first-year profits.

Now, Let the amount in the first-year profits = x

So, We can formulate;

⇒ 676% of x = 180,500

⇒ 676/100 × x = 180,500

⇒ x = 180500 × 100 / 676

⇒ x = $26,701.18

Thus, The first-year profits (to the nearest hundred dollars) is, $26,701.18.

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The required simplified value of the given exponential form of expression 4⁻³  is 1/64.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Given expoenential expression,
=  4⁻³  
= 1 / 4³    [a⁻¹ = 1 /a]
= 1 / 64   [4³ = 64]

Thus, the required simplified value of the given exponential form of expression 4⁻³  is 1/64.

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Answer:

x = [tex]-\frac{y - 5}{67}[/tex]

Step-by-step explanation:

Hope this helps