7n2 + 5 = 453
Solve the quadratic function

Answer:

y = -1x + 2

Step-by-step explanation:

Modelling the proportional relationship, it is found that the coefficient of proportionality is k = 5.

--------------------

There is a direct relationship between the area A(x) of a rectangle and its width x. Thus, the following equation can be written:

\(A(x) = kx\)

In which k is the constant of proportionality.

In the table, we have for example, point (0.9, 4.5), which means that when \(x = 0.9, A(x) = 4.5\), and we use it to find k.

\(A(x) = kx\)

\(4.5 = 0.9k\)

\(k = \frac{4.5}{0.9}\)

\(k = 5\)

Thus, the coefficient of proportionality is k = 5.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Equation of regression line : y^ = 60.7 + 0.139x

x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016.

From the general regression equation:

y = mx + c

Where m = slope of regression line.

The slope (m) of the equation given is 0.139

The slope could be interpreted as ; for every per unit change in y (every win a major league baseball team has in 2016), the payroll in million dollar increases by a product of 0.139

The slope of a regression line is the average rate of change of the line.

The interpretation of the slope is: the rate of wins per payroll is 13.9%

From the question, we have:

\(\mathbf{\bar y= 60.7 + 0.139x}\)

The equation of a linear regression is:

\(\mathbf{\bar y= c + mx}\)

Where m represents the slope

So, by comparison:

\(\mathbf{m = 0.139}\)

\(\mathbf{m = 13.9\%}\)

This means that, the rate of wins per payroll is 13.9%

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Answer:

(0,0) or (-1,0)

Step-by-step explanation:

i'm really not sure srry

Answer:

So, if you are solving for the function operation then the answer would be f= g(x)=gx but if you are just evaluating then the answer would be log (16) log (7)= (2-the power of 1)to the power of 3. Hope this helps!

Answer:

T = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4=2/5t + 2

Step 2: Flip the equation.

2/5t + 2 = 4

Step 3: Subtract 2 from both sides.

2/5t + 2 − 2 = 4 −2

2/5t = 2

Step 4: Multiply both sides by 5/2.

(5/2) *(2/5t)= (5/2) *(2)

Answer:

t=5

Answer:

t=5

Step-by-step explanation:

4=2+2/5 t

Subtract 2 from both sides

2=2/5 t

Multiply 2/5 by its reciprocal on both sides so multiply by 5/2

(5/2) times 2 is 5

so t is 5

Answer:

Each person will get .6 of a pound

Step-by-step explanation:

If you divide 3 by 5 you get .6.

The expressiοn that is equal tο 8 is D i.e. 8* 1/2 + 8* 1/2.

In mathematics, a mathematical expressiοn is a cοmbinatiοn οf numbers, variables, and mathematical symbοls that represents a quantity οr a relatiοnship between quantities. It can be evaluated οr simplified using mathematical rules and οperatiοns.

Tο check which expressiοns are equal tο 8, we can simplify each expressiοn and see if it simplifies tο 8.

A. (8 1/2) (8* 1/2) = 16, which is equal tο 8 * 2.

B. (8^2) *1/2 = 32, which is equal tο 8*4.

C. (8* 1/2)^2 = 16, which is equal tο 8*2.

D. 8* 1/2 + 8* 1/2 = 8, which is equal tο 8 * 1.

E. (8 1/2) 1/2 = 2√2, which is nοt equal tο 8.

Therefοre, the expressiοn that is equal tο 8 is D i.e. 8* 1/2 + 8* 1/2.

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Answer:

Step-by-step explanation: 2Δ≥㏒8,4 and 12,2

The statement is true.

When the block is in equilibrium, each spring is stretched an additional ∆x. This implies that the forces from the two springs are balanced, and the block is not experiencing any net force in the equilibrium position.

When the block is set into oscillation with amplitude a, it will pass through its equilibrium point during the oscillation. At the equilibrium point, the displacement of the block is zero, and it changes direction. At this point, the block has its maximum speed v, as it is accelerating towards the equilibrium position.

The speed of the block decreases as it moves away from the equilibrium position, reaches zero at the maximum displacement (amplitude), and then starts accelerating towards the equilibrium point again. Therefore, when the block passes through its equilibrium point, it has its maximum speed v.

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The function is

The given function is an exponential function.

A characteristic of these type of function is that it never crosses the x-axis.

If the base is between 0 and 1 and positive, then the function will be always over the x-axis.

The greater the value of x, the more close it would come to the x-axis but it will never reach it, this is called an horizontal asympote.→ since it has an horizontal asympote it will never be zero, it means that it does not have a minimum value, it just keeps decreasing until infinity.

The correct option is (C) The graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Option (C) gives a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

Answer:

A

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

They may require more advanced techniques from dynamical systems theory to fully understand the behavior of the system.

If both eigenvalues of a critical point of a linear system of differential equations in two dimensions are real and equal, the critical point is a degenerate node.

The behavior of the solutions near a degenerate node depends on the higher-order terms in the Taylor series expansion of the vector field around the critical point. Specifically, the critical point is asymptotically stable if the higher-order terms in the Taylor series expansion satisfy certain conditions, and unstable otherwise.

If the higher-order terms in the Taylor series expansion satisfy the so-called "center manifold" conditions, then the critical point is a center, and the solutions near the critical point exhibit periodic behavior.

In general, the classification of a critical point with real and equal eigenvalues can be more complicated than the case where the eigenvalues have different signs, and may require more advanced techniques from dynamical systems theory to fully understand the behavior of the system.

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3 chicken wings he buys after spending  $3.00

When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.

Tyshawn spent $23.00 on 23 chicken wings.

Therefore in $1 the chicken wings that can be brought will be
= 23 /23

= 1

As he spent $3.00 on the chicken wings then the quantity that he has brought will be

= $3 * 1

= 3

The number of chicken wings that were brought was 3.

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Answer:31.5 cm

Step-by-step explanation:

3 x 10.5

Answer:

Step-by-step explanation:

The Nature of roots of the quadratic equation "5x² -3x +2 = 0" is  imaginary and conjugate   .

To find the Nature Of Roots of the Quadratic Equation ax² + bx + c = 0 , we find the discriminant(D) by the formula ; D = b² - 4ac .

the quadratic equation is given as 5x² -3x +2 = 0 ;

On comparing , we get , a = 5  , b = -3 and c = 2 .

Substituting the values in the Discriminant formula mentioned above , we get

D = (-3)² - 4×5×2

= 9 - 40

= -36 .

Since the value of the discriminant is less than 0 ,

Therefore  , the roots will be imaginary and conjugate .

The given question is incomplete , the complete question is

What is the nature of the roots of the equation 5x² -3x +2 = 0  ?

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Answer:

The correct answer would be C) 30

The concentration of copper ions in the solution is 0.0999 mol/L.

First, we need to write out the balanced chemical equation for the dissolution of copper (I) chloride:

CuCl(s) ⇌ Cu+(aq) + Cl-(aq)

The solubility equilibrium constant expression is:

Ksp = [ Cu+ ][ Cl- ]

We are given that Ksp = 1.7 × 10 -7, and that the concentration of Cl- is 0.2 mol/L greater than the concentration of Cu+.

Let's assume that the concentration of Cu+ is x mol/L.

Then, the concentration of Cl- is (x + 0.2) mol/L.

Substituting these values into the Ksp expression, we get:

1.7 × 10 -7 = x(x + 0.2)

Simplifying this equation, we get:

\(x^2 + 0.2x - 1.7 \times 10 -7 = 0\)

Using the quadratic formula, we can solve for x:

x = \((-0.2 + \sqrt{ (0.2^2 + 4 \times 1.7 \times 10 -7))/2}\)

x = (-0.2 ± 0.00208)/2

x = 0.0999 or x = -0.3001

Since the concentration of Cu+ cannot be negative, we take the positive root:

x = 0.0999 mol/L

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Answer:

C) \(x^{3} + 3x^{2} + 3x - 1\)

Step-by-step explanation:

We have our equations. So, we will substitute them in our last equation, giving us:

\((x + 1) * (x^{2} + 2x - 1) + 2x\)

Opening the parentheses gives us:

\(x^{3} + 2x^{2} - x + x^{2} + 2x - 1 + 2x\)

Combining like terms:

\(x^{3} + 2x^{2} + x^{2} + 2x - x + 2x - 1\)

Then, we combine:

\(x^{3} + 3x^{2} + 3x - 1\)

So, your answer is C) \(x^{3} + 3x^{2} + 3x - 1\).

Hope this helped!

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The equation representing the polynomials are D = x³ + 3x² + 3x - 1

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as D

Now , the value of D is

Substituting the values in the equation , we get

A = x + 1

B = x² + 2x - 1

C = 2x

The value of AB + C = D

And , AB = ( x + 1 ) ( x² + 2x - 1 )

On simplifying the equation , we get

AB = x ( x² + 2x - 1 ) +  ( x² + 2x - 1 )

AB = x³ + 2x² - x + x² + 2x - 1

AB = x³ + 3x² + x - 1

And , D = x³ + 3x² + x - 1 + 2x

D = x³ + 3x² + 3x - 1

Hence , the equation is D = x³ + 3x² + 3x - 1

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Out of the given options of the wheel, Paper, Pens, and the internet, the most innovative product in the world is the internet.

This is because the internet has revolutionized the way people communicate, learn, work, and entertain themselves. It has connected people from all corners of the world, allowing for real-time communication, access to information, and the sharing of ideas on a global scale.

Its influence has spread to every aspect of modern life, from shopping to socializing to governance.

Therefore, the internet stands out as the most innovative product in the world among the given options in the question.

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Transfer to Abilene is not a good financial move for the Woffords.

What are monthly expenses?

This covers regular living costs like your rent or mortgage, car payment, and utilities, as well as more erratic costs like your monthly haircut, groceries, and clothes.

Here, we have

Given: Ms. Wofford and her two sons live in Lubbock Texas where she makes 3200 a month. she is thinking of transferring to Abilene and uses an online family budget estimator to see her potential monthly expenses.

Lubbock = Necessary monthly income - total monthly expenses

= 3111 - 2951

= 160

Abilene = Necessary monthly income - total monthly expenses

= 2812 - 2775

= 37

Hence, transfer to Abilene is not a good financial move for the Woffords.

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Answer:

looks like a 54 degree angle

Step-by-step explanation:

84.4 liters were consumed.

211 x 400 = 84400

In total 84400 milliliters were consumed

1000 milliliters are in one liter

So that means 84.4 liters were consumed.

Answer:

0.11

Step-by-step explanation:

The number is 0.10947. So, to round to the nearest hundredth you’d take the number behind the number in the hundreds place, 0, and if it’s 5 or higher that number would go up. Since the number behind 0 is 9 which is higher than 5 that 0 would become a 1. Giving you 0.11!

Hope this helps, good luck! :)

Answer:

Should be 160

Step-by-step explanation:

The perimeter of a trapezoid is All the sides combined. We already know two of the sides. You can simplify the square roots to be 2\(\sqrt{2}\)+6+x. We know that two sides (or the ones we don't know) are equal, and we see an altitude. This shows that we can make a right triangle be a^2+b^2=c^2. Once we substitute everything, we find \(2\sqrt{2}\)^2(or 8)+x^2+c^2. This means that we now need to find x. Also, sorry, but I don't know what to do after this so I hope you can solve it from here. The things you need to find out are c^2 and x.

Total number of students that likes both dog and Cat = 194 students.

Total number of students = 335 students

Therefore,

percentage = 58%

Answer:

Step-by-step explanation:

B

Answer:

B.

He added up his transactions incorrectly.