I really need to finish this

The factor form of the cubic equation y = x³ + 3 · x² + x + 3 is y = (x² + 1) · (x + 3).

In this problem we find a cubic equation, that is, a polynomial of the form:

y = a · x³ + b · x² + c · x + d

Where a, b, c, d are the real coefficients of the polynomial. Herein we must use algebra properties to find the factor form of the expression:

y = a · Π (x - rₙ) for n = {1, 2, 3, ..., m - 1, m}

Where:

First, write the entire equation:

y = x³ + 3 · x² + x + 3

Second, use distributive property of real mumbers:

y = x² · (x + 3) + 1 · (x + 3)

Third, use distributive property of real numbers once again:

y = (x² + 1) · (x + 3)

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750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

percentage, a relative value indicating hundredth parts of any quantity

We need to find how many gallons of 80%

8x, since we don't know how many gallons

mixed with 250 gall of 40%: 0.40(250)

and we want a mix at 70%. The mix will include the 0.8x and the 0.4(250) Like this:

8x+0.4(250)=0.7x+0.7*250

Multiply on both sides of the equation

0.8x+100= 0.7x+175 Subtract 100 on both sides

0.8x= 0.7x+75

Subtract 0.7 on both sides

0.1x= 75

Divide both sides by 0.1

x= 750

You need 750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

Hence,  750 gallon of fuel at 80% to mix with the 250 gallon at 40% in order to get a mixture at 70% liquid oxygen.

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Answer: :/ listen to the lesson

Step-by-step explanation:

Answer: the 50th term is 530

Step-by-step explanation:

it increases by 11 each time so 11*49

539 subtract by nine since it starts at -9

530

Answer:

$1080

Step-by-step explanation:

Since we have 40% off 60 percent of the price is $648 so we can make ratios

60/100=648/x

Cross multiply

60x=100(648)

60x=64800

/60.  /60

x=1080

Sales price is $1080

Hopes this helps please mark brainliest

Answer:

  (a)  yes

  (b)  no

  (c)   yes

  (d)  yes

Step-by-step explanation:

You want to know which of these equations is linear.

For the purpose here, we will define a linear equation as one that graphs as a straight line. (Other definitions may give different answers.)

In general, a linear equation will have a highest degree of 1. (It may be 0.)

The equation of choice (b) has degree 2, so is not a linear equation.

The attached graph shows the only equation that is not linear is choice (b).

__

Additional comment

In some branches of mathematics, an equation of the form y = mx+b is not a linear equation. In basic algebra, that is the model of a linear equation, for any values of m and b.

Answer:

B. (4, 1), (1, 4), (-4, 1), (1, 4)

Step-by-step explanation:

A mixed number is a number consisting of a whole number and a proper fraction.

It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 4 = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling. In other words - four minus one quarter is fifteen quarters.

The expressions that are equivalent to the expression y + y + y + 3z are 3y + 3z and 3(y + z)

From the question, we have the following parameters that can be used in our computation:

y + y + y + 3z

To start with, expressions that are equivalent are expressions that have equal values when evaluated

Using the above as a guide, we have the following:

Evaluate the like terms in y + y + y + 3z

So, we have the following representation

y + y + y + 3z = 3y + 3z

Factor out 3 from the expression

So, we have the following representation

y + y + y + 3z = 3(y + z)

Hence, the equivalent expressions of y + y + y + 3z are 3y + 3z and 3(y + z)

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You use a perpendicular bisector or an angle bisector in your everyday life and orthocenter be the most difficult part of a triangle.

Everyday life example :

On a clock, the second hand in the middle of the hour hand and minute hand, is working as the angle bisector.

For a perpendicular bisectors, take two ends of a compass needle, with the long end on the North, the short end is pointing South, and the lines of East and West are on the left and right.

Orthocenter :

The orthocenter is the point of intersection of the three altitudes of a triangle. It is the hardest part of the triangle to find because :

It can lie inside a triangle or outside the triangle as it depends on the type of type of the triangle whether it is acute or obtuse. So, in order to identify it we must first know the type of the triangle.

And secondly, the formula for finding orthocenter is quite complicated so it is the hardest part of the triangle to identify and use.

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A recurrence relation is an equation in mathematics that states that the nth term of a series of numbers is equal to some combination of the terms that came before it.

A recurrence relation is an equation in mathematics that states that the nth term of a series of numbers is equal to some combination of the terms that came before it.

For a parameter k that is independent of n, only k preceding terms of the sequence frequently occur in the equation; this number k is known as the order of the relation.

The rest of the series can be determined by continually using the equation if the values of the first  integers in the sequence have been provided.

The nth term in linear recurrences is equivalent to a linear function of the k prior terms. The Fibonacci numbers' recurrence is a well-known example.

Hence, A recurrence relation is an equation in mathematics that states that the nth term of a series of numbers is equal to some combination of the terms that came before it.

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Answer: False

Step-by-step explanation:

w(5) = 5w

w(-5) = -5w

These aren't the same expressions.

Hope this helps!!! :)

For the given expression the exponent would be  [tex](2y-9)^5$[/tex].

What is an exponent?

An exponent is a number that indicates how many times a base number should be multiplied by itself. For example, in the expression 2³, the base is 2 and the exponent is 3. The exponent indicates that the base should be multiplied by itself 3 times, so the value of the expression is 2 * 2 * 2 = 8.

The given expression is

= (2y-9) (2y-9) (2y-9) (2y-9) (2y-9)

Exponent expression = [tex](2y-9)^5$[/tex]

Hence, for the given expression the exponent would be  [tex](2y-9)^5$[/tex].

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For the given expression the exponent would be  (2y-9)⁵.

What is an exponent?

An exponent is a number that indicates how many times a base number should be multiplied by itself. For example, in the expression 2³, the base is 2 and the exponent is 3. The exponent indicates that the base should be multiplied by itself 3 times, so the value of the expression is 2 * 2 * 2 = 8.

The given expression is

= (2y-9) (2y-9) (2y-9) (2y-9) (2y-9)

Exponent expression = (2y-9)⁵

Hence, for the given expression the exponent would be  (2y-9)⁵.

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The domain will be D:{x ∈ R| x ≠ 4} and the range will be R:{y ∈ R| y ≠ 11}. Then the correct option is A.

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = (x² - 3x - 28) / (x + 4)

Simplify the function, then we have

f(x) = (x² - 7x + 4x - 28) / (x + 4)

f(x) = [x(x - 7) + 4(x - 7)] / (x + 4)

f(x) = [(x + 4)(x - 7)] / (x + 4)

f(x) = x - 7

The Domain of the function is all real numbers except 4. And the range of the function is all real numbers except 11.

The domain will be D:{x ∈ R| x ≠ 4} and the range will be R:{y ∈ R| y ≠ 11}. Then the correct option is A.

The diagram is given below.

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From the given graphs the values of c and d are, c = 0.53,

d = 0.95.

What is sinusoidal wave?

A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid. It is a smooth periodic function and a particular kind of continuous wave.

Let the graphs of y = sin(x) and y =sin(2x) are given.

From this graphs we have to find the value of c and d.

First from y = sin(x) to find the value of 'a'.

consider the point [tex](a, -\frac{4}{5})[/tex]

⇒

[tex]sin(a) = -\frac{4}{5} \\a = sin^-^1(-\frac{4}{5})\\ a = -53.13[/tex]

Now to find the value of 'c'.

Plug   a = -53.13  in y = sin(2x)

[tex]sin(2a) = c\\sin(2(-53.13)) = 0.52622\\sin2a= 0.53[/tex]

Hence, the value of 'c' is c = 0.53.

Now to find the value of d.

First y = sin(x) to find the value of b.

Consider, the point [tex](b, \frac{5}{13})[/tex]

⇒

[tex]sinb = \frac{5}{13} \\b = sin^-^1(\frac{5}{13})\\ b = 22.62[/tex]

Now to find value of d.

Plug b = 22.62 in y = sin(2x)

[tex]sin(2b) = d\\sin(2(22.62)) = 0.95138\\sin(2b) = 0.95[/tex]

So, the value of 'd' is 'd = 0.95'.

Hence, from the given graphs the values of c and d are, c = 0.53,

d = 0.95.

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The addition of the given system of equations is 10x = 10.

What is system of equations?

A set of one or more equations involving numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions to systems of equations, or the points where the components of these equations intersect.

Consider the given system of equations

3x - y = -5         ..(1)

7x + y = 15        ..(2)

We have to find the addition of this equations.

Add equation (1) and equation (2).

     3x - y = -5

 +  7x + y = 15

____________

     10x + 0 = 10

Hence, the addition of the given system of equations is 10x = 10.

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Answer:you speak French pls

Step-by-step explanation:

:::

An equation that plots the total cost, y, of renting the scooter against the duration, x is  y=7.50x+45

3x - 5 = 16 is an illustration of an equation. By solving for x, we discover that the variable's value is 7, or x = 7. By deleting parenthesis and merging related terms, you can simplify either side of an equation and obtain the solution. Together with the variables for which the equation must be solved, the values of the variables that must satisfy the equality to compose the answer are referred to as the unknowns. Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables. A conditional equation's variables can only have specific values that produce the truth.

Given,

You must pay a non-refundable $45, plus $7.50 per hour, to rent a motorized scooter from a sightseeing tour company.

The equation is y=7.50x+45

Therefore, a formula that plots the total cost, y, of renting the scooter against the duration, x is  y=7.50x+45.

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We can conclude that the width of the rectangular ground is 19ft.

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides. Therefore, a special case of a square is a rectangle.

To put it another way, a rectangle can also be a square.

So, we know that:

The perimeter of the rectangular ground is 90ft.

The length of the rectangular ground is 26ft.

Now, the width will be:

Perimeter of rectangle formula: P =  2(l+w)

Now, put the values and substitute as follows:

P =  2(l+w)

90 =  2(26+w)

90 = 52 + 2w

2w = 90 - 52

2w = 38

w = 38/2

w = 19ft

Therefore, we can conclude that the width of the rectangular ground is 19ft.

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Answer:

100

Step-by-step explanation:

I did the test

The sales price of the item is $17.55

From the question, we have the following parameters that can be used in our computation:

Sales price = 45% of the original price

The original price = $39

The above parameters mean that

Sales price = 45% * original price

Substitute the known values in the above equation, so, we have the following representation

Sales price = 45% * $39

Evaluate

Sales price = $17.55

Hence, the sales price is $17.55

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The t-test is appropriate because it can handle small sample sizes and is robust to violations of normality assumptions.

Mathematical statistical tests are techniques for data analysis and drawing conclusions about a population from a sample. These tests employ mathematical formulae and probability theory to assess if a participant's result is statistically significant, implying that it is unlikely to have happened by chance. Comparing two or more groups, figuring out how variables relate to one another, and assessing the accuracy and validity of data may all be done using statistical tests. They are frequently used to derive inferences from experimental or observational data in disciplines including psychology, economics, and sociology.The outcomes of these tests are used to determine whether to accept or reject a hypothesis and can offer important insights into the underlying patterns and relationships in data.

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Answer: C, the table.

Step-by-step explanation:

       In a function, there can only be one output (y) per input (x), but you can have multiple inputs (x) per one output (y).

       Using this logic, we see that the answer is;

                 C

Answer:

3 does not belong because its not long enough

Answer:

17%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 because you have to find x, you have to find x and y and then the overall answer

The given system of equations,

y = 1/4 x + 1

y = 1/4 x - 1

has no solution.

Given a system of equations.

There are two equations in the system.

We have to find the number of solutions for the system if it exists.

Consider the equations,

y = 1/4 x + 1

y = 1/4 x - 1

Since both the equations are in y value, they are equal.

1/4 x + 1 = 1/4 x - 1

1/4 x - 1/4 x = -1 - 1

0 = -2

This is not possible.

This means that the given system has no solution.

Hence the given system of equations has no solution.

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Answer:

you have to multiply 45^2  

2025

Answer:

5% of $1100 = 55

Year given = 7

So, 55 × 7 = 385

She would get after 7 years all total  = (1100 + 385) = $1485

Answer:

-3/2

Step-by-step explanation:

rate of change is slope

x²+ 12x + 1x + 12

x(x+12) + 1(x+12)

(X+1) (X+12)