Which equation is equivalent to /x2+81=x+10

The value of g(1/2) for function g(x) = 5x² - 4x +3 will be 9/4.

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.

As given,

g(x) = 5x² - 4x +3

g(1/2)=5*1/2^2-4*1/2+3

=5/4-2+3

=5/4+1

g(1/2)=9/4

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Answer:

im pretty sure 17

Step-by-step explanation: suhkmjnk

Answer:

10 hours

Step-by-step explanation:

7(y) + 5(x)=125

7(y) + 5(11) = 125

7(y) + 55=125

-55. -55

7(y)= 70

7/7 = 70/7

Y=10

the area is simply the product of its width and length, so hmmm before doing so, let's change all the mixed fractions to improper fractions and then multiply.

[tex]\stackrel{mixed}{4\frac{1}{5}}\implies \cfrac{4\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{21}{5}} ~\hfill \stackrel{mixed}{4\frac{2}{7}} \implies \cfrac{4\cdot 7+2}{7} \implies \stackrel{improper}{\cfrac{30}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{5}\cdot \cfrac{30}{7}\implies \cfrac{21}{7}\cdot \cfrac{30}{5}\implies \cfrac{3}{1}\cdot \cfrac{6}{1}\implies \text{\LARGE 18}~in^2[/tex]

The area of the rectangle is 18 [tex]inch^{2}[/tex] and the perimeter is  [tex]16\frac{34}{35}[/tex] inches.

We know that, Area of a rectangle = l * b

        and Perimeter of a rectangle = 2(l + b)

 Where, l = length of the rectangle

             b = breadth of the rectangle

According to the question, l = [tex]4\frac{1}{5}[/tex] inch = [tex]\frac{21}{5}[/tex] inch

                                             b = [tex]4\frac{2}{7}[/tex] inch = [tex]\frac{30}{7}[/tex] inch    

Area of the given rectangle = l* b

                                              =   [tex]\frac{21}{5}[/tex] * [tex]\frac{30}{7}[/tex]

                                              = 18 [tex]inch^{2}[/tex]

The perimeter of the given rectangle = 2(l + b)

                                                              = 2( [tex]\frac{21}{5}[/tex] + [tex]\frac{30}{7}[/tex])

                                                              = 2 ([tex]\frac{297}{35}[/tex])

                                                              = [tex]\frac{594}{35}[/tex]

                                                              = [tex]16\frac{34}{35}[/tex] inch

Hence, the area of the rectangle = 18 [tex]inch^{2}[/tex]

and the perimeter =  [tex]16\frac{34}{35}[/tex] inch

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Answer:

-8b^2 + 4b

Step-by-step explanation:

To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.

First, let's distribute the negative sign to the terms inside the first set of parentheses:

(-6b^2) + (-2b^1) = -6b^2 - 2b^1

Now let's combine the terms inside the second set of parentheses:

(-2b^2) + (4b) = -2b^2 + 4b

Finally, let's add the two expressions:

(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b

Simplifying, we get:

-8b^2 + 4b = -8b^2 + 4b

The final simplified expression is: -8b^2 + 4b.

The limit lim x → 0 (3x²/(1 - cos²(x/2)) = 0

A limit is the value of a function as the independent variable tends to a particular value.

Given the limit lim x → 0 (3x²/(1 - cos²(x/2))

We desire to evaluate the limit.

To evaluate the limit, we proceed as follows.

Since  lim x → 0 (3x²/(1 - cos²(x/2)), substituting x = 0 into the equation, we have that

lim x → 0 (3x²/(1 - cos²(x/2)) = (3(0)²/(1 - cos²(0/2))

= (3(0)/(1 - cos²(0)),

= ((0)/(1 - (cos(0)²))

= 0/(1 - 1)

= 0/∞

So, using l'hopital's rule which states that lim x → a f(x)/g(x) =  lim x → a f'(x)/g'(x)

So, lim x → 0 (3x²/(1 - cos²(x/2)) = lim x → 0 (d3x²/dx/d(1 - cos²(x/2))/dx,

= lim x → 0 2x/2cos(x/2)sin(x/2)

=  lim x → 0 2x/sinx

= 2(0)/sin0

= 0/0

Using l'hopital's rule again, we have that

lim x → 0 2x/sinx = lim x → 0 d2x/dx/dsinx/dx

= lim x → 0 2/cosx

= 2/cos(0)

= 2/1

= 2

So, we have that the limit lim x → 0 (3x²/(1 - cos²(x/2)) = 2

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Answer:

[tex]\huge\boxed{\sf 3\ hours\ 47\ minutes}[/tex]

Step-by-step explanation:

Fell asleep = 11:25 AM

Woke up = 3.12 PM

When we go from 11:25 AM to 12:25 PM, he slept for 1 hour.

From 12:25 PM to 1:25 PM, it will be 2 hours.

From 1:25 PM to 2:25 PM, it will be 3 hours.

From 2:25 PM to 3:00 PM, it will be 3 hours 35 minutes.

From 3:00 PM to 3:12 PM, it will be 3 hours 35 minutes + 12 minutes.

So,

He slept for 3 hours 47 minutes.

[tex]\rule[225]{225}{2}[/tex]

Answer: The sum that is equivalent to 3/5 + 1/6 is 18/30 + 5/30.

Step-by-step explanation:

This is because both 18/30 and 5/30 can be simplified to 3/5 and 1/6 respectively.

18/30 can be simplified by dividing both numerator and denominator by 6, which results in 3/5.

5/30 can be simplified by dividing both numerator and denominator by 5, which results in 1/6.

So 18/30 + 5/30 = 3/5 + 1/6.

The other options are not equivalent, 6/10 + 2/10 is equivalent to 4/5, 12/30 + 5/30 is equivalent to 17/30 and 3/11+4/11 is equivalent to 7/11

sin a° = 3/√13, cos a° = 2/√13 and tan a° = 3/2 as per the rules of a trigonometric ratio.

Trigonometric ratios are developed based on the right-angled triangle.

The largest side length of a right-angled triangle is called hypotenuse.

Suppose an angle Ф is in between the hypotenuse and base of a triangle. The base is called the adjacent side.

The remaining side length is called the opposite side length.

sinФ = opposite side length/ hypotenuse

cosФ = adjacent side length /hypotenuse

tanФ = opposite side length/adjacent side length

According to the figure, a right-angled triangle has hypotenuse 3√13, angle a is in between hypotenuse and base of the triangle.

The length of adjacent side to the angle a° is 6 units and opposite side has a length 9 units.

now, according to the trigonometric ratio

sin a° opposite side /hypotenuse = 9 /3√13 = 3/√13

cos a° = adjacent side / hypotenuse = 6/3√13 = 2/√13

tan a° = opposite side/adjacent side = 9/6 = 3/2

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The x coordinate of the centroid of triangle ABC with vertices A(-3, 3), B(2, 5), and C(4, -3) is 1

The center of the an object is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.

For a triangle the formula to find the vertex is

X coordinate: (x₁ + x₂ + x₃)/3  

Y coordinate: (y₁ + y₂ + y₃)/3

substituting for the vertices A(-3, 3), B(2, 5), and C(4, -3)
X coordinate = (x₁ + x₂ + x₃)/3  

X coordinate = (-3 + 2 + 4)/3

X coordinate = 1

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The sampling distribution of the mean fuel efficiency will be approximately normal as the sample size is large.

The Central Limit Theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normal, regardless of the shape of the distribution of the population from which the sample is drawn.

In this case, you are taking a sample of 100 cars from a population with a mean fuel efficiency of 30 mpg and a standard deviation of 4 mpg. Since the sample size is sufficiently large, the sampling distribution of the mean fuel efficiency will be approximately normal.

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Answer:

b

Step-by-step explanation:

Choosing a sample from a population with some biasing would not represent the population well.

The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole.

There are four types of sampling in statistics they are,

Simple random sampling, stratified sampling, cluster sampling, and systematic sampling are all types of probability sampling.

A random sample is such that the probability of choosing each sample is the same.

When we choose a sample biasedly then that sample might not represent the population sample well.

For example, choosing a sample from a population of trees for checking damages.

If we choose all the trees near to the side of the road it can happen that the trees just beside the road are more damaged.

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Answer:

Keme lang bhie33

Step-by-step explanation:

The value of the variable 'x' will be 60°. Then the correct option is B.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.

In the diagram below, P is circumscribed about quadrilateral ABCD. Then the equation is given as,

x + 120° = 180°

Simplify the equation, then we have

x + 120° = 180°

x = 180° - 120°

x = 60°

The value of the variable 'x' will be 60°. Then the correct option is B.

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Rhyming scheme of "It rains, and the wind is never weary" is AABBA. Option (b) is correct.

A scheme is a well-organized plan for carrying out an action, particularly one that is dishonest or unlawful but will benefit you.

He paints his feelings and the storm raging around him as dark and gloomy in the poem's opening lines. The weather/depression cannot be avoided. He displays a yearning for the past, his youth, and possibly the dreams he had at that time.

He addresses his heart directly in the final verse, imploring it to calm down and accept what is happening. There will always be days when things seem more hopeless; that is just a fact of life.

Therefore, These quintains use the straightforward rhyme system AABBA, switching up the end sounds from stanza to stanza. Rain falls, but the wind never stops.

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Answer:$27,463.202820167

Answer:

c

Step-by-step explanation:

Answer:

THE ANSWER IS C

Step-by-step explanation: BECAUSE IT IS I

A proposition exists in this statement. Until we know if Jennifer will be late for the party and whether her cousin Zachary would become irate if she is, we cannot determine its true value. The right answer is C.

a. Because it is not a declarative sentence that can be either true or incorrect, this statement cannot be considered a proposition. Instead of expressing reality, it reflects hope or desire.

b. False. Fifteen is an odd number, not an even number.

c. A proposition exists in this statement. Unless we know if Jennifer will be late to the party and whether her cousin Zachary would become irate if she is, we cannot determine its veracity.

d. False. Chris Evert didn't win the French Open seven times on June 30, 1986; he only did so five times.

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Answer:

[tex] \frac{2x( \sqrt[4]{y}^{2}) }{3} [/tex]

Step-by-step explanation:

⁴√[(16x ^ 11 * y ^ 8)/(81x ^ 7 * y ^ 6)]=

=⁴√[(16x ^ 4 * y ^ 2)/81]=

=⁴√{[(4x ^ 2 * y)/9] ^ 2}=

=√[(4x ^ 2 * y)/9)]=

=[√(4x ^ 2 * y)]/3=

=(2x⁴√y²)/3

An equivalent expression for the given expression is 2x[tex]\sqrt[4]{y^2}[/tex]/3. Therefore, option B is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is [tex]\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6} }[/tex]

Here, [tex]\sqrt[4]{\frac{2^4x^{11}y^8}{3^4x^7y^6} }[/tex]

= [tex]\sqrt[4]{\frac{2^4x^{4}y^2}{3^4} }[/tex]

= 2x[tex]\sqrt[4]{y^2}[/tex]/3

Therefore, option B is the correct answer.

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The simplified sum of the second and fourth integers is 2x + 4.

What is the whole number?

Whole numbers are numbers without fractions and it is a collection of positive integers and zeros. It is represented by the symbol “W” and the set of numbers is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.

Integers are whole numbers, and consecutive integers are whole numbers that are next to each other with a space of "1" between them,

i.e. 1, 2, 3, 4... or -2, 1, 0, 1...

Thus, if the first integer is "x" and the next is "x+1" then "x+2" and "x+3."

The sum = x+x+1+x+2+x+3 = 4x+6.

The sum of the second and fourth integers is:

= x+1 + x+3

= 2x + 4

Hence, the simplified sum of the second and fourth integers is 2x + 4.

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The proportion has an m value of 16.5 is

m / 54.2 = 82.5 / 271

The word proportion generally denotes a portion, share, or sum when compared to a total.

When two ratios are equal, they are in proportion, as stated by the definition of proportion. When an equation or a statement to are said to be proportional then the two ratios or fractions are equal.

Each of the options is solved for m to find that the second option has the m = 16.5

m / 54.2 = 82.5 / 271

cross multiplying gives

m / 54.2 = 165/542

m = 16.5

m is solved to get 16.5

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The factors of the expression x² - x - 12 are 4 and -3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

x² - x - 12

Using middle-term factorization.

x² - (4 - 3)x - 12

x² - 4x + 3x - 12

x(x - 4) + 3(x - 4)

(x - 4) (x + 3)

x - 4 = 0

x = 4

x + 3 = 0

x = -3

Thus,

The factors are 4 and -3.

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A corporation pays dividends to its stockholders in order to distribute profits to them.

A dividend, which is typically derived from the company's net profits, is a compensation given to shareholders for their investment in the equity of a company. In the United States, cash dividends—cash payments made to investors on a per-share basis—make up the majority of dividends.

For instance, if a business distributes a dividend at the rate of 20 cents per share, an investor holding 100 shares would get $20 in cash. An increase in the number of shares owned is a percentage of a stock dividend.

A dividend that is given to shareholders in the form of extra company shares is known as a stock dividend. Until the shares are sold by the owner, stock dividends are not subject to tax. Due to the issuance of additional shares, stock dividends, like stock splits, cause a decrease in the share price.

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Arik bought  8 scientific calculator and 12 graphing calculator.we can find by using percentage.

Percentages are fractions where the denominator is 100. To show that a number is a percent we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100)  you would have scored 75%.

Percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.Percentages are important for understanding the aspects of everyday life.

Now we have

Arik has 20 calculator at store

40% scientific calculator= 20*40/100

                                        =800/100

                                        =8

he buys graphing calculator=20-8

                                              =12

Each calculator is 5 percent.

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Answer: C- 10

Step-by-step explanation: first have the bottom half of tyhe equation equal each other

5*x=25

x=5

then multiply 2 by x

2x=10

10 is the answer

Answer:

To describe the shape of a cubic function, we need to consider its end behavior, any turning points it has, and any intervals over which it is increasing or decreasing.

For the cubic function 32. y = 3x³ - x - 3, the leading coefficient is 3, which means that the end behavior of the function will be determined by the sign of the term x³. Since the coefficient of x³ is positive, the function will approach positive infinity as x approaches positive infinity and negative infinity as x approaches negative infinity. This means that the graph of the function will curve upwards at both ends.

To find the turning points of the function, we can find the zeros (or roots) of the function. In this case, we can solve the equation 3x³ - x - 3 = 0 using the cubic formula or a numerical method. This will give us three real roots, which correspond to the x-values of the turning points of the function. The function will be concave upwards at the points between these roots and concave downwards at the points between the roots and the ends of the graph.

The function will be increasing on the intervals between the roots where the function is concave upwards and decreasing on the intervals between the roots where the function is concave downwards.

For the cubic function 33. y = -9x³ - 2x² + 5x + 3, the leading coefficient is -9, which means that the end behavior of the function will be determined by the sign of the term -9x³. Since the coefficient of x³ is negative, the function will approach negative infinity as x approaches positive infinity and positive infinity as x approaches negative infinity. This means that the graph of the function will curve downwards at both ends.

As with the previous function, we can find the zeros (or roots) of the function by solving the equation -9x³ - 2x² + 5x + 3 = 0 using the cubic formula or a numerical method. This will give us three real roots, which correspond to the x-values of the turning points of the function. The function will be concave upwards at the points between these roots and concave downwards at the points between the roots and the ends of the graph.

The function will be decreasing on the intervals between the roots where the function is concave upwards and increasing on the intervals between the roots where the function is concave downwards.

Step-by-step explanation:

D. The Domain is the set of all real numbers.

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The value of variables are,

1) h = - 3

2) r = 2

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We know that;

Diagonals of a parallelogram are equal to each other.

In figure 1;

We can formulate;

⇒ 2h + 2 = 2h + (h + 5)

⇒ 2h + 2 = 2h + h + 5

⇒ 2h + 2 = 3h + 5

⇒ 2 - 5 = 3h - 2h

⇒ - 3 = h

⇒ h = - 3

In figure 2;

We can formulate;

⇒ 5r + 5r = (5r - 2) + (4r + 4)

⇒ 10r = 5r - 2 + 4r + 4

⇒ 10r = 9r + 2

⇒ 10r - 9r =  2

⇒ r =  2

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Answer:

m= -45

Step-by-step explanation:

-16-m=29

-16-29=m

-45=m