How to graph f(x)=1/x

The value of x = 25 % (option b) in 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. by converting the percentages.

79% of 8400 = ( 79/100) x 8400

                     = 6636

66.66% of 4800 = (66.66/100)x4800

                      = 3199.68

120% of 7200 = (120/100)x7200

                       = 8640

x% of 4784  = (x/100) x 4784

we are given that, 79% of 8400 + 66.66% of 4800 = 120% of 7200+ x% of 4784. what is the value of x :

therefore, 6636 + 3199.68 = 8646 + (x/100) x 4784

                 (x/100) x 4784 = 6636 + 3199.68 - 8646

                                         = 1189.68

                                (x/100) = 1189.68/4784

                                            = 0.248

                                    x = 0.248 x 100

therefore , the value of x is equals to 24.8 % or 0.248 which is approximated to 25 % that is option (b)

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This equation has complex solutions and that means the system has no nontrivial solutions for real value of lambda.

[tex]\lambda = \frac{-6±\sqrt{-164} }{4} \\[/tex]

Now, According to the question:

Nontrivial Solutions of a System:

System of equations has a form:

AX = 0, X = (x , y, z)

System of equations has a nontrivial solutions if a determinant of a system is zero. If the determinant is not zero than the matrix has inverse and a nontrivial solution x=0. This can be said differently: The homogeneous system has the trivial solution if rank of A in the row reduced form of matrix is equal to the number of unknown variables. If rank of A is less than the number of variables then the system has nontrivial solutions.

λx + 2y + z = 0

x + 5y + 2z = 0

3x - λy + z= 0

So, we calculate and determinant :

[tex]\left[\begin{array}{ccc}\lambda&2&-1\\1&5&2\\3&-\lambda&1\end{array}\right][/tex]  [tex]= \lambda det\left[\begin{array}{ccc}5&2\\-\lambda&1\end{array}\right][/tex] [tex]-2det\left[\begin{array}{ccc}1&2\\3&1\end{array}\right][/tex] [tex]det\left[\begin{array}{ccc}1&5\\3&-\lambda\end{array}\right][/tex]

[tex]=2\lambda^2+6\lambda+25=0[/tex]

This equation has complex solutions and that means the system has no nontrivial solutions for real value of lambda.

[tex]\lambda = \frac{-6±\sqrt{-164} }{4} \\[/tex]

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The given question is incomplete, complete question is :

For which values of ? does the following system have nontrivial solutions

λx + 2y + z = 0

x + 5y + 2z = 0

3x - λy + z= 0

The solution of both the functions, f(x) = g(x) = 2, is option(c).

What is a function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.

Given two functions,

f(x) = x² + 4x + 2

g(x) = [tex](1/2)^{x} + 1[/tex]

observe the graphs below

We are asked to find the solution of f(x) = g(x)

The solution that satisfies both functions is the intersecting point of both graphs.

From the graph, it is observed as (0,2)

Hence when x =0, the solution of both the functions f(x) = g(x) = 2, which is option(c).

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The system of equations that can find the number of student tickets sold is:

7x + 9y = 543

x + y = 67

Defining the variables that helped write the system are:

Let x be the number of student tickets sold

Let y be the number of adult tickets sold.

First, define the variables. In this case, we can say that x will be the number of student tickets while also making y the number of adult tickets.

The first equation would be:

Revenue of student tickets sold + Revenue of adult tickets = Total revenue

7x + 9 y = 543

The second equation is:

Number of student tickets + Number of adult tickets = Number of total tickets

x + y = 67

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Answer: The answer is 7x + 9y = 543x + y = 67.

Step-by-step explanation: Please give Brainlist.

Hope this helps!!!!

If A Ferris wheel is 45 meters in diameter and boarded from a platform that is 1 meters above the ground. The number of minutes  of the ride that are spent higher than 35 meters above the ground is: 2minutes.

Ferris wheel radius = 45/2

Ferris wheel radius = 22.5 meters

When the Ferris wheel is at the 12 o'clock position, the center of the wheel is at a height of 22.5 + 1 = 23.5 meters above the ground.

When the Ferris wheel is at the 3 o'clock position, the highest point on the wheel is at a height of (22.5 + 1) + (22.5) = 46 meters above the ground.

So the time spent higher than 35 meters is the time spent between 3 o'clock and 12 o'clock positions, which is a quarter of the full revolution time is:

Time spent higher than 35 meters = 8/4

Time spent higher than 35 meters = 2 minutes

Therefore the time spent higher than 35 meters is 2 minutes.

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For given function, Graph is provided in image.

What is a function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and co-domain or range. A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

There are several types of functions in math. Some important types are:

Injective function or One to one function: When there is mapping for a range for each domain between two sets.

Surjective functions or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials.

Inverse Functions: The function which can invert another function.

Graph for function f(x)=2*(0.5)^x is provided in image.

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The n will be 12.175074 for which (5/6)^n is less than 0.00001.

We start by converting the target number to scientific notation: 0.00001 = 1 x 10^-5

Next, we take the logarithm base (5/6) of both sides:

n = log base (5/6) of (1 x 10^-5)

Using logarithm rules, we can simplify this to:

n = log base (5/6) of 1 - log base (5/6) of 10^-5

Using logarithm tables or a calculator, we find that:

log base (5/6) of 1 = 0

log base (5/6) of 10^-5 = -12.175074

So,

n = 0 - (-12.175074) = 12.175074

Therefore, n = 12.175074.

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3^-1 divided by 3^4 equals is  0.00411522633

Thus,

3^-1 divided by 3^4 equals is

0.00411522633

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The fraction of exponents  3⁻¹ divided by 3⁴ equals = 243.

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters. There are three main fraction kinds in mathematics.

They come in three varieties: proper fractions, incorrect fractions, and mixed fractions. Numerator and denominator terms are known as fractions. We define its types in light of these two words. There are seven different types of fractions: equivalent fractions, like fractions, mixed fractions, appropriate fractions, and fractions with the same numerator.

Thus,

3-1 divided by 3^4 equals is

We know when base are same in division, we can factor the abse and subtract the exponent

[tex]3^{(4 -(-1))}[/tex]

= [tex]3^5[/tex]

= 243

Thus, 3⁻¹divided by 3⁴ equals = 243

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There were 37 pupils that completed push-ups. The maximum number of push-ups allowed is 32.

A line chart, also known as a curve chart, is a type of chart that presents information as a succession of data points called "markers" that are connected by straight line segments. It is a simple form of chart that is used in many disciplines. A line plot is a linear graph that displays data frequency distributions along a number line. It is useful for analyzing data with a single specified value. Line plots are sometimes known as dot plots. A line plot depicting the distance traveled by 17 turtles in one hour is shown below (we know it is 17 turtles because there are 17 dots on the line plot).

Here,

Mr. Anderson's class=20

Mrs. Brown's class=17

Number of students who did push-ups is 37. Maximum number of push-ups is 32.

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ΔVWX ≅ ΔZYX, to justify the statement SAS property is used.

Correct option is: 3

Congruent triangles exist if its two sides and also included angles are identical to that of other triangle's two sides and also included angle.

The triangles are considered to be congruent when all three pairs of matching sides are. Side-side-side is the name of this congruence shortcut (SSS). Side-angle-side (SAS) is an alternative simplification if two sets of side as well as the angles between them is known to just be congruent.

When determining if a collection of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, two sides and the included angle of one triangle must equal two sides and the included angle of another triangle in order for the two triangles to be considered congruent. An angle produced by two specified sides is called an included angle.

Correct option: 3

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Answer:

ABC won't make a straight line.

Step-by-step explanation:

The sum of the angles is equal to 190°, which is greater than 180° (the measure of the straight angle).

Answer:

NO

Step-by-step explanation:

if the 3 shapes are placed together at point B to form ∠ ABC

if ABC make a straight line then the sum of the 3 vertices = 180°

63° + 95° + 32° = 190° ≠ 180°

then

ABC is not a straight line

Sammy's Bulk Store offers better buy.

The graph is for C = 0.4n.

A unit rate is defined as the rate for one of something. For example, if 10 oranges cost $50, the unit rate will be $50/10 = $5 i.e.  $5 for one orange.

PART 1

In order to determine which store offers the better buy for bottled water, we need to calculated the unit rate for each store. That is:

Unit rate = price / number of items

In Value Market, $2.99 for 24 bottles:

Unit rate  = $2.99/24 = $0.12

Sammy's Bulk Store, $3.96 for 36 bottles:

Unit rate  = $3.96/36 = $0.11

Thus, Sammy's Bulk Store offers better buy

PART 2

For  Hot dogs:

In Value Market, $3.19 for a pack of 8:

Unit rate  = $3.19/8 = $0.4

C = 0.4n

Sammy's Bulk Store, $54.40 for a pack at 12:

Unit rate = $4.49/12 = $0.37

C = 0.37n

From the graph, we have point C = 4 and n = 10. Thus:

unit rate = C/n = 4/10 = 0.4

Thus, the graph is for C = 0.4n

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The probability of a flight will not arrive on time is 231/1000

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

Flights arrive on time= 769

Total flights = 1000

P(arrive on time) = Flights arrive on time / Total flights

P(arrive on time) = 769/1000

P (not arrive on time) = 1 - 769/1000

P (not arrive on time) = (1000 - 769)/1000

P (not arrive on time) = 231/1000

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The equation can be factorized as (x + 4/3) (x + 3/2).

The expression 2x² + bx - 9 will be prime for the the values of b = 18, 12, and -1.

Quadratic expressions are polynomial expressions of second degree.

The general form of a quadratic expression is ax² + b x + c.

18. The zeroes of the expression ax² + b x + c can be found by,

x = [-b ± √(b² - 4ac)] / 2a

The given expression is 6x² + 17x + 12.

We have to factorize the expression.

x = [-17 ± √(17² - 4×6×12)] / [2 × 6]

  = [-17 ± √(289 - 288)] / 12

  = (-17 ± 1) / 12

x = -16/12 = -4/3 and x = -18/12 = -3/2

The expression can be factorized as (x + 4/3) (x + 3/2).

19. The expression is non factorable if the value of the discriminant is neither zero nor a positive perfect square.

For ax² + b x + c, Discriminant = b² - 4ac

The expression given is 2x² + bx - 9.

Discriminant = b² - (4 × 2 × -9) = b² + 72

When b = 18, b² + 72 = 396, not a perfect square root

When b = 3, b² + 72 = 81, a perfect square root

When b = 12, b² + 72 = 216, not a perfect square root

When b = -3, b² + 72 = 81, a perfect square root

When b = -7, b² + 72 = 121, a perfect square root

When b = -1, b² + 72 = 73, not a perfect square root

When b = 17, b² + 72 = 361, a perfect square root

So when b = 3, -3, -7 and 17, the expression is factorable.

When b = 18, 12, and -1, the expression is prime.

Hence the expression 2x² + bx - 9 is prime when the values of b are  18, 12, and -1.

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The equation in function notation to represent Ainsley's salary is y = $24,500 * (1 + 0.03x) and  Ainsley's salary will be $26,940 when she begins her fourth year working at the bookstore.

What is an equation in function notation?

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

a. Let y be Ainsley's salary after x years of working at the bookstore.

The equation representing Ainsley's salary as a function of the number of years she has been working at the bookstore is y = $24,500 * (1 + 0.03x).

b. To find Ainsley's salary when she begins her fourth year working at the bookstore, we need to plug in x = 3 into the equation:

y = $24,500 * (1 + 0.03x)

y = $24,500 * (1 + 0.03 * 3)

y = $24,500 * 1.09

y = $26,940.

Hence, The equation in function notation to represent Ainsley's salary is y = $24,500 * (1 + 0.03x) and  Ainsley's salary will be $26,940 when she begins her fourth year working at the bookstore.

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The tangent of the corners of this right-angle triangle is 4/3.

The Pythagorean theorem states, "In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides." The sides of this triangle were called the perpendicular, the base, and the hypotenuse.

The tangent of a right triangle angle is equal to the ratio of the opposite side to the adjacent side. So if we call the other side "x", we can set the following formula:

tan(θ) = 8/x

where θ is the angle from height 8. We can find the value of x using the Pythagorean theorem.

[tex]x^2 + 8^2 = 10^2\\x^2 = 100 - 64\\x^2 = 36\\x = 6[/tex]

So the tangent values ​​are:

tan(θ) = 8/6 = 4/3

Therefore, the tangent of the corners of this right triangle is 4/3.  

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Answer:

Hi.....Sorry bro...I can't understand...My bad, I am only 12 years old..

Answer:

6

Step by Step explanation:

If you replace the w with 6 you get 53.

Entry of 1.00 in the diagonal of the matrix indicate that it is a correlation matrix .

For example :

              A₁                 A₂             A₃             A₄                A₅

A₁            1

A₂           2                  1

A₃           3                 4                  1

A₄           5                 6                  7               1

A₅           8                 9                 10              11                  1

Diagonal values is always equal to 1 as the relation between A₁ to A₁ is always equal to one.

Therefore, the entry of one on the diagonal of the given matrix represents it is a correlation matrix.

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She needs to lower her head by 190 seconds by 0.5 seconds in order to go more quickly than the age-appropriate speed of 8.5 yards per second.

Distance is the broad, directionless movement of a moving object. Distance can be characterized as the amount of territory an object has covered, regardless of something like the originating or ending location. Distance is defined as the extent or size of the difference between two places. The space between two positions and the distance traveled between them are not the same thing, it should be emphasized. The distance traveled is the entire length of a path that connects two places. Distance is the actual travel distance of a body. It is also known as path length. For instance, OP = 360 m would be the length of the path for an object traveling from point O to point P.

given

V = D/t = 100/9.8 = 10.20 yd/sec is the speed with D = 100 yds, t = 9.8 s.

Convert the distance in yards for d = 100 meters, 1 yd/0.9144 m = 109.36 yds (1 yd = 0.9144 m d = 100 meters)

t=d/V=109.36 yards/10.20 yards per second = 10.72

The sprinter will finish the 100.0 meters in 10.72 seconds.

The sprinter's velocity is given by V = (10.20 yards per second)(0.9144 meters per yard) = 9.3 m/s.

Running 1.80 km in T = (1.80km * 1000m/1km)/9.33m/s will take 190 seconds.

She needs to lower her head by 190 seconds by 0.5 seconds in order to go more quickly than the age-appropriate speed of 8.5 yards per second.

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Answer:

3 and 4 or {3,4}

Step-by-step explanation:

3 and 4 are the only numbers greater than 2, but less than 5.

Answer:

Step-by-step explanation:

Answer:

The value of x is 8.1

Step-by-step explanation:

We can use SOH CAH TOA to find our answer.

In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.

We can calculate the length of the string by using the COS function.

So we can say the tangent of angle [tex]\beta[/tex] is the opposite side divided by the adjacent side.

[tex]tan( \beta)=\frac{O}{A}[/tex]

We are given the angle and the opposite side. We are looking for the adjacent side.

Lets solve for [tex]A[/tex].

Take the reciprocal of both sides.

[tex]\frac{1}{tan(\beta)} =\frac{A}{O}[/tex]

Multiply both sides by [tex]O[/tex].

[tex]\frac{1}{tan(\beta)} *O=A[/tex]

We are given

[tex]\beta=56\textdegree \\O=12[/tex]

[tex]\frac{1}{tan(56)} *12=A[/tex]

[tex]A=8.0941022[/tex]

After evaluating the integral of equation is ( x ^2+4)×e−x dx

 =ex ^2+4e−dx

There are occasions when it is possible to perform an apparently difficult piece of integration

by first making a substitution. This has the effect of changing the variable and the integrand.

When dealing with definite integrals, the limits of integration can also change. In this unit we

will meet several examples of integrals where it is appropriate to make a substitution.

(x^2 + 4)e−x dx = 0

(x ^2+4)×e−x dx

Multiply the terms

e(x ^2+4)−x dx

Multiply the terms

Evaluate

x dx

Multiply the terms x^ 1+1 d

Add the terms

x ^2d

Multiply the terms dx ^2

e(x ^2+4)−dx ^2

Simplify

e(x ^2 +4)

Apply the distributive property

ex ^2+e×4

Multiply the terms

ex^ 2+4e

ex ^2+4e−dx ^2

After evaluating the integral of equation is(x ^2+4)×e−x dx =ex ^2+4e−dx ^2

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One ounce of food contains average  about 28 grams of carbs.

One of the three macronutrients that the body needs for energy, carbohydrates can be found in a wide variety of foods. Sugar, starch, and fiber are the three elements that make up carbohydrates. Weight is measured in ounces, which weigh 28.35 grams. As a result, one ounce of food contains about 28 grams of carbs. Carbohydrates are crucial for supplying the body with the 4 calories per gram of energy it needs to function, fuel physical activity, and help with digestion. Foods like fruits, vegetables, grains, nuts, and dairy products all naturally include ounces of carbs. It is crucial to remember that there are several kinds of carbs, some of which are healthier than others.

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The complete question is

How many grams of carbs in an ounce of food ?

The terms empty set, null set, and void set are all used to describe a set that is empty of any elements.

The empty set is the only set in mathematics that possesses no items; its size or cardinality is 0. While in other theories, its existence can be inferred, some axiomatic set theories guarantee the presence of the empty set by introducing an axiom of empty set.

An empty set is a set that contains no elements and can be represented by the symbol, which indicates that it is empty of elements. It has a definite number of elements since the finite set contains a countable number of items and the empty set has none. An empty set is a finite set since it has a cardinality of zero.

Therefore, the correct answer is option (c) (even prime numbers).

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Answer:

B, C, E, F

Step-by-step explanation:

Solve for the missing angle first (which is 42°)

Listing all of the basic trig ratios (sohcahtoa):

sin x = opp/hyp

cos x = adj/hyp

tan = opp/adj

sin 48° = a/c

cos 48° = b/c

tan 48 = a/b

sin 42° = b/c

cos 42° = a/c

tan 42° = b/a

Answer:

(-3,-5)

Step-by-step explanation:

2x+1=x-2

subtract 3 from both sides

x=(-3)

sub the value of x back into one of the equations

y=2(-3) + 1=-5

The correct option: B. 3/x=x/11. is the proportion used to determine the the value of x.

For the stated question:

The pair of sides x and 11 : as well as 3 and x are used to find the proportion.

Thus,

3/x = x/11

It is the correct relation to find the value of x.

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It will take the group 10 minutes to make a wood pile of 45 sticks.

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).

Let's call the number of minutes passed "t".

The total number of sticks in the wood pile after t minutes is given by the equation:

Woodpile = 5 + 7t - 3t = 5 + 4t

We want to find the time t it takes for the wood pile to have 45 sticks:

45 = 5 + 4t

Subtract 5 from both sides:

40 = 4t

Divide both sides by 4:

t = 10

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The total atomic masses of a compound's constituent atoms, expressed in grams per mole, make up the compound's molar mass.

You must adhere to the grams to moles formula in order to accurately calculate the number of moles, n, of a substance with a given mass, m, (in grams): The molar mass of this substance is M, and n = m / M.

The atomic mass of an element is multiplied by the number of its atoms. Add the values once you've completed this for all the atoms to determine the amount of grams in a mole.

A compound's molar mass is determined by adding the atomic masses of all of its constituent atoms together in grams per mole. The number of moles in a compound cannot be measured physically, but we may connect its mass to the number of moles by utilizing the molar mass of the compound as a direct conversion factor.

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