Write the equation of the graph in factored form. remember to include the y or f(x)

The value of f(x) = 3x² - 2x at x = 4 is 40.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

Here, the given function;

    f(x) = 3x² - 2x

put the value of x = 4, we get

     f(4) = 3 X 4² - 2 X 4

     f(4) = 3 X 16 - 8

      f(4) = 48 - 8

     f(4) = 40

Thus, the value of f(x) = 3x² - 2x at x = 4 is 40.

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Answer:

x^2+5x+6

Step-by-step explanation:

\(\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6\)

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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The textbook "Essential Calculus: Early Transcendentals, 2nd edition" by James Stewart was published by Cengage Learning in 2012. It is a softcover edition.

This textbook covers essential topics in calculus and is designed for students studying calculus at an early stage. It provides a comprehensive introduction to the subject, including concepts such as limits, derivatives, integrals, and applications of calculus. The book aims to develop students' understanding of calculus and its applications through clear explanations and examples. It also includes exercises and problems for students to practice and reinforce their learning. With its accessible writing style and comprehensive coverage, "Essential Calculus: Early Transcendentals" is a popular choice among students studying calculus.

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It would take the two painters together eight hours to paint the house

Step-by-step explanation: Given that, One painter can paint the entire house in twelve hours. The second painter takes eight hours to paint a similarly-sized house. To find, How long would it take the two painters together to paint the house? Suppose one painter takes x hours to paint the house.

Therefore, the other painter will take x-4 hours to paint the same house. According to the question, \(1/x+1/(x-4)=1/12+1/8\) Multiply by LCM, \(8(x-4)=12x+12(x-4)8x-32=6x+484x=80x=20\)Therefore, the first painter will take 20 hours to paint the house. The second painter will take 16 hours (20-4). Together they will take, \(1/20+1/16=0.1+0.0625=0.1625\) Thus, they will take 6.1538 hours which can be rounded to 4.8 hours.

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Answer:

65 Degrees

Step-by-step explanation:

Answer:

X=65°

Step-by-step explanation:

Fine y =71°, alternate angle.

Find Z

71 °+ Z +65° =180°

136° + z= 180°

collect like team

Z=180°-136°

Z = 44°

Find X

Y + X + Z=180°

input the value of y and x

71° + X +44° =180°

115°+ X=180°

X = 180°-115°

X =65°

Hope it is helpful.

Answer:

1 1/4

Step-by-step explanation:

Divide 125 by 100, which gets you 1.25 (also known as 1 1/4)

Henry walked 1.25 miles each day to and from school.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Henry walks to and from school each day.

Distance travelled by Henry in 100 days = 125 miles

In order to find the distance travelled by Henry in 1 day to and from school, divide the total distance by 100.

Distance travelled in 1 day = 125 / 100 = 1.25 miles

Hence the distance Henry walk to and from school is 1.25 miles.

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The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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Answer:

\(\sqrt{a^2+b^2}\)

Step-by-step explanation:

The blue line (or, more accurately, ray) r makes up the hypotenuse of a right triangle with legs (or sides) of lengths a and b. The relationship among the three values is given by the Pythagorean theorem, which states that for any right triangle, the sum of the squares of the lengths of the legs is always equal to the square of the length of the hypotenuse.

Thus, with a and b being the lengths of this right triangle and r being the hypotenuse, the length of the blue line r expressed in terms of a and b can be written as

\(r = \sqrt{a^2+b^2}\)

However, since the left-hand side of the equation is already provided for you, what you would write in the box would be simply \(\sqrt{a^2 + b^2}\).

To write the form of the partial fraction decomposition of the given rational expressions, we need to express them as a sum of simpler fractions. The general form of a partial fraction decomposition is:

f(x) = A/(x-a) + B/(x-b) + C/(x-c) + ...

where A, B, C, etc., are constants and a, b, c, etc., are distinct linear factors in the denominator.

For the rational expression x^2 - 7x:

The denominator has two distinct linear factors: x and (x - 7). Therefore, the partial fraction decomposition form is:

(x^2 - 7x)/(x(x - 7)) = A/x + B/(x - 7)

For the rational expression 6x + 5 / (x + 8):

The denominator has one linear factor: (x + 8). Therefore, the partial fraction decomposition form is:

(6x + 5)/(x + 8) = A/(x + 8)

For the rational expression 20 - 3 / (4x + 3):

The denominator has one linear factor: (4x + 3). Therefore, the partial fraction decomposition form is:

(20 - 3)/(4x + 3) = A/(4x + 3)

In each case, we write the partial fraction decomposition form by expressing the given rational expression as a sum of fractions with simpler denominators. Note that we have not solved for the constants A, B, C, etc., as requested.

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Answers:

=========================================================

Explanations:

Answer:

Step-by-step explanation:

wheres the table

Answer:

uhh

Step-by-step explanation:

carrot?

The sample space of the given scenario is -

{SV, WV, SC, SV}.

Probability of an event is the ratio of number of favorable outcomes to the total number of outcomes. Probability is a measure of how likely an event is going to happen.

Given is that Sam goes to an ice cream shop. Also -

There will be total (2 x 2) = 4 possible elements in the sample space. We can write the elements as -

Sugar Vanilla

Sugar chocolate

Waffle Vanilla

Waffle chocolate

So, the sample space would be -

{SV, WV, SC, SV}.

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A rhombus with opposite sides are parallel and equal, and opposite angles are equal looks like Diamond.

A closed two-dimensional plane figure is a rhombus. It is regarded as a peculiar parallelogram, and due to its distinctive characteristics, it acquires a distinct identity as a quadrilateral. Due to its equal length sides, a rhombus is also known as an equilateral quadrilateral. The name "rhombus" is derived from the Greek word "rhombos," which really refers to a spinning object.

Due to the fact that it is a quadrilateral with two pairs of parallel sides, a rhombus can be considered a particular parallelogram. A rhombus also has equal sides on all four sides, exactly like a square. Because of this, it is often referred to as a tilted square. To comprehend the relationship between the rhombus shape, parallelogram, and square, look at the graphic below.

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Answer: It is 1-3. Afraid of racial policies. Meaningful government. War hero.

Step-by-step explanation:

If you can pick multiple answers = 2 or more answes

If can pick one answer = one answer

The other rules for derivatives can be used to check the answer found by using the limit definition. To find the derivative of a function, like f(x) = x/n, where n ≠ 0, using the limit definition of a derivative, we must take the limit of the quotient f(x+h) - f(x) / h as h approaches 0.

However, other rules for derivatives, like the power rule, can also be used to find the derivative of f(x) = x/n and can be used to check the answer found by using the limit definition.

Power law:

According to the derivative power rule, d/dx (xn) = n xn - 1.

Rule of sum and difference

This rule states that when there is a sum or difference, the differentiation process can be dispersed to the functions. d/dx (f(x) g(x)) = d/dx (f(x)) d/dx (g(x)), for example.

Product law:

To determine the derivative of the product of two functions, apply the product rule. It states that f(x) d/dx (g(x)) + g(x) d/dx (f(x)) = d/dx (f(x)) (f(x)) g(x)). It can be expressed mathematically as (uv)' = u v' + v u'.

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Answer:

The domain of the graph is all real numbers less than or equal to 0.

Hope this helps! :D

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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The formula for the volume of a cylinder is given by:

Where r is the base radius and h is the height.

If the volume is 448*pi cm³ and the height is 7 cm, we have:

Therefore the radius is equal to 8 cm.

Drawing this cylinder, we have:

Without more information about the specific situation and data, it is not possible to determine the sample mean difference in actual and expected arrival times or the standard deviation of the differences.

In general, the sample mean difference between two sets of values can be calculated by subtracting the mean of one set from the mean of the other set. The standard deviation of the differences can be calculated using the formula for the standard deviation of the differences between two sets of values.

However, to calculate these values, we would need to know the actual and expected arrival times for a sample of arrivals, as well as the sample size. We would also need to know whether the data is normally distributed or if any transformations are necessary to meet the assumptions of the statistical tests.

In summary, more information is needed to calculate the sample mean difference in actual and expected arrival times and the standard deviation of the differences. The specific data and assumptions must be known to accurately calculate these values.

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The equation of the trajectory which can be described using the equations for projectile motion is; y(t) = x·tan(θ) - g·x²/(2·v₀²·cos²(θ)), which is a quadratic equation with a path of a parabola

Projectile motion is the motion of an object that is projected in the air under the influence of gravitational attraction.

Let θ represent the angle at which the path of the object makes with the horizontal, and let v₀ represent the velocity of the object. The path of the object can be described using the equations of the motion of a projectile, as follows;

Horizontal component of the velocity, v₀ₓ = v₀ × cos(θ)

Vertical component of the velocity, \(v_{0y}\) = v₀ × sin(θ)

The horizontal motion of the object is therefore;

x(t) = v₀ₓ × t = v₀ × cos(θ) × t

The vertical motion which is under the influence of gravity is; y(t) = \(v_{0y}\)  × t - (1/2) × g × t²

v₀ × sin(θ) × t - (1/2) × g × t²

The horizontal component indicates that we get;

t = x/(v₀ × cos(θ))

Plugging in the above expression for t into the equation for y(t), we get;

y(t) = \(v_{0y}\)  × t - (1/2) × g × t² = \(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

\(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = (v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

(v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = x·tan(θ) - g·x²/(2·v₀×cos(θ))²

The equation, y = x·tan(θ) - g·x²/(2·v₀×cos(θ))², is a quadratic equation, which is an equation of a parabola, therefore, the trajectory of an object thrown at an angle to the horizontal is a parabola.

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

in the y = kx + b graph, k equals to tan(θ), where θ is the angle between the graph and Ox. In this case, k = 0.5.

This graph is the graph y = 0,5x shifted by 1 to the left, so its formula is 0.5(x + 1) = 0.5x + 0.5.

The answer is y = 0.5x + 0.5.

You can also get the equation from the system of equations.

we will take two points from the graph: (-1; 0); (1; 1)

First equation is 0 = k * -1 + b;

the second is 1 = k * 1 + b.

From the 1st, k = b; from the second, k = 1 - b. b = 1 - b; 2b = 1; b = 0.5; k = b = 0.5.

y = 0.5x + 0.5.

The unit price for the tape is $0.38 or 38 cents per yard.

The unit price is the price of one unit of measurement for a particular substance.

The unit price of a substance is used to calculate the total cost of a particular substance or the cost of a fraction of a substance.

Unit price is calculated by dividing the total cost by the total quantity of the product.

The given price of the product is $3.04 for a 8-yard roll of tape.

So to find the unit price we divide the total cost by the total length to find the cost of 1 yard of tape.

Unit price = $3.04 ÷ 8

or, Unit price = $ 0.38

Therefore the unit price of the tape is $0.38 or 38 cents.

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Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

The approximate solution of the system of equations is given as follows:

(4, 26).

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

For the point of intersection in this problem, we obtain the coordinates as follows:

This means that the correct option is given by the third option.

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Answer:hello

Step-by-step explanation:

Answer:

V = 180 \(ft^{2}\)

Step-by-step explanation:

Answer:

i think its 14.4

Step-by-step explanation:i

Answer:

i think its c (14.4)

Step-by-step explanation:

pls mark brainliest! im tryna get to vituoso :3

Answer:

The surface area is 70 yards

Step-by-step explanation:

The formula for surface area is (SA)=2lw+2lh+2hw. Meaning it would be 2 times (8 times 3 + 8 times 1 + 3 times 1) which equals 70 yards.