Multiply binomials by polynomials
Expand.
Your answer should be a polynomial in standard form.
(n2 – 3n+ 1)(2n + 3) =

Answer:

2

Step-by-step explanation:

First off, the slope of f(x) is -4.  It is in the form y=mx+b and m=-4.

For g(x), the slope can be calculated from any two points given.  I willuse (1,9) and (3,21) because I like positive numbers.  So, slope is rise over run and it is calculated from (y1-y0)/(x1-x0)  This gives me (21-9)/(3-1) which is equal to 6.  So adding the two slopes: 6+ (-4)=2

An argument in which the reasons support the conclusion so that the conclusion follows from the reasons offered is called a valid argument.

In logic and critical thinking, an argument consists of two main components, premises and a conclusion.

The premises are statements or reasons put forth as evidence or support for the conclusion.

The conclusion is the statement that is being asserted or inferred based on the premises.

A valid argument is one in which the logical relationship between the premises and the conclusion is such that if the premises are true.

Then the conclusion must also be true.

In other words, the conclusion logically follows from the premises.

When an argument is valid, it means that the truth or validity of the premises guarantees the truth or validity of the conclusion.

It does not necessarily mean that the premises are true in reality, but rather that if they were true, the conclusion would be true as well.

Here is an example to illustrate a valid argument,

Premise 1

All mammals are warm-blooded animals.

Premise 2

Dogs are mammals.

Conclusion,

Therefore, dogs are warm-blooded animals.

In this example, if we assume that the premises are true, the conclusion logically follows.

The truth of Premise 1 establishes that all mammals are warm-blooded, and Premise 2 identifies dogs as mammals.

This implies, the conclusion that dogs are warm-blooded animals logically follows from the given premises.

A valid argument can still have false premises or a false conclusion.

The validity of an argument simply relates to the logical relationship between the premises and the conclusion.

Rather than the truth or accuracy of the statements themselves.

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Answer:

The length of the missing side is

\(4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} \)

Step-by-step explanation:

You could do Pythagorean theorem which is:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c\)

Answer:

75

Step-by-step explanation:

86+79+68+83=316

391-316=75

Answer:

75 newspapers

Step-by-step explanation:

391 is equal to the combination of all the newspapers Nicholas sold over those 5 days. This can be written as an equation:

391 = 86 + 79 + 68 + 83 + x

x represents the number of newspapers Nicholas sold on Thursday.

Now let's solve for x:

First, combine like terms:

391 = 316 + x

now subtract 316 from both sides to isolate x:

391 - 316 = 316 - 316 + x

75 = x

Nicholas sold 75 newspapers on Thursday.

9514 1404 393

Answer:

  (b) signs of the infinities are opposite

Step-by-step explanation:

The graph shows a trend toward +∞ as x gets more negative, and toward -∞ as x gets more positive. That is, the sign of the end behavior of y is opposite that of x. This is expressed by the second choice.

Answer:

(z - 4) (x - 9)

− 4 x  +  z  − 9

(k + 6) (k - 7)

k^2 - k - 42

(y - 5) (y + 5)

y^2 - 25

Answer:

Bottom(equation 3)=No solution

Middle(equation 2)= Infinite solutions

Top(equation 1)=1 solution

Step-by-step explanation:

Brainly pls I hope this helps

Answer:

cgnnjfcjifchhgsiwjcjcbanxjdhw

Answer:

scenario one is matched to graph three

scenario two is matched to graph one

scenario three is matched to graph two

Step-by-step explanation:

scenario 1 is the only one that decreases and graph 3 is the only decreasing graph.

scenario 2 is increasing by an unsteady amount so that matches graph 1 because it is increasing in a curve

so that leaves scenario 3 and graph 2 which both increase by a steady amount

Hope this helps! :)

The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

OB

because domain is all X values that satisfy graph. And on graph X has all +ve values going to infinity.

When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.

Since the Function g is defined as g(x) = 2f(x – 4) + 3

So here OB should be considered as the domain of the all x values should satisfied the graph. Also, on graph X it contains the positive values that goes to infinity.

Hence, When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.

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For the company to practice price discrimination, there should not be any resale of its product, is not true if a public utility company is considered a monopolist. This is because price discrimination involves charging different prices to different groups of customers based on their willingness to pay. Resale of the product can actually facilitate price discrimination as it allows different customers to buy the product at different prices and then resell it to others. The other options are true for a monopolist, such as having upward sloping demand and supply curves, charging a price higher than its marginal revenue, and determining profit maximizing quantity at the point where marginal revenue equals marginal cost.

Let's analyze each statement:

A. The company's demand curve and supply curve are upward sloping.
This statement is NOT true for a monopolist. A monopolist faces a downward sloping demand curve, which means that they can increase the quantity sold by lowering the price. The supply curve does not apply in the traditional sense for monopolists, as they have the power to set both the price and quantity produced.

B. Its price must be higher than its marginal revenue.
This statement is true for a monopolist. Under a monopoly, the price charged by the company is higher than its marginal revenue due to the downward-sloping demand curve.

C. For the company to practice price discrimination, there should not be any resale of its product.
This statement is true. In order for a monopolist to successfully engage in price discrimination, they must prevent the resale of their product, ensuring that consumers cannot undercut the monopolist's pricing strategy.

D. Its profit maximizing quantity is determined where its marginal revenue equals its marginal cost.
This statement is true. A monopolist maximizes its profit by producing the quantity where marginal revenue equals marginal cost, and then setting the price based on the demand curve at that quantity.

So, the statement that is NOT true for a public utility company considered as a monopolist is: A. The company's demand curve and supply curve are upward sloping.

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The integer in the solution set of 5/6m - 4 < 1/3m + 5 that would make it false is 20

The set is given as

S:{−18, 2, 15, 20}

The inequality expression is given as

five sixths m minus four is less than one third m plus 5

Rewrite the inequality expression properly

So, we have

5/6m - 4 < 1/3m + 5

Subtract 1/3m from both sides of the inequality expression

So, we have

1/2m - 4 < 5

Add 4 to both sides of the inequality expression

So, we have

1/2m < 9

Divide both sides of the inequality expression hy 1/2

So, we have

m < 18

This means that the integers in the solution set are integers that are less than 18

These integers are −18, 2, 15

All other integers would make the inequality false

Hence, the solution is 20

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The value of y when x = -12 is given as follows:

y = 32.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

From the table, when x increases by 2, y decays by 4, hence the slope m is obtained as follows:

m = -4/2

m = -2.

Hence:

y = -2x + b.

When x = -3, y = 14, hence the intercept b is obtained as follows:

14 = -2(-3) + b

b = 8.

Hence the function is:

y = -2x + 8.

When x = -12, the value of y is given as follows:

y = -2(-12) + 8

y = 24 + 8

y = 32.

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Answer:

any numbers that are multiples of 10, such as

10 and 20

40 and 60

50 and 80

Step-by-step explanation:

Because 5 is a factor of 10, all multiples of 10 will also be multiplies of 5, such as 10, 20, 30, 40, 50, 60, and so on.

Answer:

$30.69

Step-by-step explanation:

22.32/ 8 = 2.79

11 x 2.79 = 30.69

Answer:

Make all sides 3.0

Answer:3.0

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

It is the pythagorean Theorem and there is this special rule my teacher always told me to follow that means it is always 3, 4, and 5. Trust me, I had this problem before. It is 5cm just use the pythagorean theorem.

Answer:

Justin did not eat 7/12 of the pizza

Step-by-step explanation:

Marc eats 1/6 × 24 = 4, 24 - 4 = 20 left over

Claudine eats 1/4 × 20= 5, 20 - 5 = 15 left over

Sylvia eats 1/3 × 15 = 5, 15 - 5 = 10 left over

Justin eats 10.

24 - 10 = 14

Justin did not eat 14/24 = 7/12

The above statement can be represented as :

value of x = 20

hence, the required number is 20

Cameron's current service charge of $0.95 per song, and the new service charge of $0.89 per song and $12 fee for joining, gives;

To Formulate

The charges for songs on the current music service is, C1 = 0.95•s

The charges for the new download service is, C2 = 12 + 0.89•s

Where the $12 is the joining fee

When the cost is the same for both service, we have;

C1 = C2

Which gives;

The equation to represent when the cost for both service is the same is therefore;

0.95•s = 12 + 0.89•s

Computing;

The number of songs that gives the same costs is therefore;

0.95•s = 12 + 0.89•s

12 = 0.95•s - 0.89•s = 0.06•s

s = 12 ÷ 0.06 = 200

Interpreting the solution;

The interpretation is, the cost of songs downloaded on both service will be the same, when 200 songs are downloaded.

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Answer:

∠3 = 102°

Step-by-step explanation:

║A straight line always equals 180°. So all we need to do is subtract 78° ║from 180° for the missing angle.

180 − 78 = 102

∠3 = 102°

Further explanation:

║The image shows two slanted lines across one vertical line. If we visualize ║a circle around the point where the slanted line intercepts with the vertical ║line, we can solve this.

[we only need one line to work with, because both lines are parallel]

║That circle you visualized divides the intercept into four sectors. One of ║those sectors, or angles, is labled 78°. We need to find the angle measure ║underneath the labled sector. The sector in the bottom right corner has ║the same angle measure as the labled sector, which is 78°. The sector ║labled ∠3 has the same angle measure as the sector in the upper right.

[a full rotation around an angle is always 360°]

║This can be easily solved by subtracting 78° from 180° to get the angle ║measure for the upper right sector, which is equivalent to ∠3. Using basic ║subtraction, 180° − 78° = 102°. We can prove this by multiplying 78° by 2, ║multiplying 102° by two, and adding the products.

78 ⋅ 2 = 156

102 ⋅ 2 = 204

204 + 156 = 360

║Because the sums equal 360°, we can determine the answer is true.

The correct situation which can be modeled with a periodic function is,

⇒ The height of a pebble stuck in the tread of a tire.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, The situations that can be modeled with a periodic function is that,

The height of a pebble stuck in the tread of a tire.

And, A function is said to be periodic if it gives same value after a same period. And functions which are not periodic are called aperiodic.

Thus, The correct situation which can be modeled with a periodic function is,

⇒ The height of a pebble stuck in the tread of a tire.

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Answer:

14.42

Step-by-step explanation:

17.00 x .80  20% off means price is 80% (or .80) of price

=13.6

13.6 x .06 = .82 sales tax

13.60 + .82 = 14.42 sales price plus sales tax

The solution to the given initial value problem is: y(t) = 2e^4t - e^-4t, where y(0) = 3 and y'(0) = -12.

To solve the given differential equation, we first assume a solution of the form y = e^rt. Then, taking the derivatives of y, we get:

y' = re^rt
y'' = r^2 e^rt

Substituting these values into the differential equation, we get:

r^2 e^rt + 2re^rt - 8e^rt = 0

Factoring out e^rt, we get:

e^rt (r^2 + 2r - 8) = 0

Solving for r using the quadratic formula, we get:

r = (-2 ± sqrt(2^2 - 4(1)(-8))) / 2(1) = (-2 ± sqrt(36)) / 2 = -1 ± 3

Therefore, the two solutions for y are:

y1 = e^(-t) and y2 = e^(4t)

The general solution to the differential equation is then:

y(t) = c1 e^(-t) + c2 e^(4t)

To find the values of c1 and c2, we use the initial conditions y(0) = 3 and y'(0) = -12.

y(0) = c1 + c2 = 3
y'(0) = -c1 + 4c2 = -12

Solving for c1 and c2, we get:

c1 = 2
c2 = 1

Therefore, the final solution to the initial value problem is:

y(t) = 2e^(-t) + e^(4t)

Which can be simplified as:

y(t) = 2e^4t - e^-4t

The NZVC bits for this problem are not applicable as this is a mathematical problem and not a computer architecture problem.

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Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

1. The area of one rhombus is 1.875 square inches.

2. The area of the entire logo is 9.375 square inches.

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

Shape = rhombus

Where we have the diagonals to be 2.5 inches and 1.5 inches

The area of one rhombus is calculated as

Area = product of dimensions/2

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

Area = 2.5 * 1.5/2

Area = 1.875

We know that there are 5 shapes

So, we have

Area = 1.875 * 5

Evaluate

Area = 9.375

Hence, the area of the entire logo is 9.375

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Therefore, General solution of the given system is,x(t) = c1e^2t+c2e^(-2it)+c3e^(2it) + e^2t-t-e^(-t) - 5.

Given

x'(t)=[0 1 1; 1 0 1; 1 1 0] x[t] + [-4; -4 - 5e^-t; -10e^-t]

We have to find a general solution to the system.  

Explanation: Using the general solution of the homogeneous equation we get, We get the characteristic equation as:

|λI-A|=0⇒ λ³-3λ-2λ-6λ+8λ+24=0⇒ λ³-2λ²-4λ+8λ-24=0⇒ λ²(λ-2)-4(λ-2)=0⇒ (λ-2) (λ²-4) = 0 ⇒ λ=2,

λ=±2i

Thus the homogeneous equation's general solution is

xh(t) = c1e^2t+c2e^(-2it)+c3e^(2it)

Now we need to find a particular solution for the system. The equation is given by

xp (t) = e¹a+te ¯¹b+c.

Let's find the value of a,b, and c for this equation.

x'(t) = ae^(at) + e^(at)(-b) + e^(at)t(-b) + (-c)e^(-t)

= e^(at)(a-bt)-e^(-t)c

= 0+1

(we take 1 instead of 0)

1(-b)-4t = 0and, 1(a-bt)-1c

= -4 - 5e^-tAnd, 1(a-bt)-1c

= -4-5e^-t-1c.

We get c=-5

Now,

1(a-bt)= -4-5e^-t+5=-4-5e^-t

Therefore,

a-bt= -4-5e^-t

Now let's differentiate the equation 2 times to get the value of

b.a-bt= -4-5e^-td(a-bt)/dt

= -5e^-t-2bd²(a-bt)/dt²

= 5e^-tb= -1

Substituting the value of b, we get a=2. Substituting the values of a,b, and c in

xp(t) = e¹a+te ¯¹b+c,

we get,

xp(t) = e^2t-t-e^(-t) - 5

Now the general solution of the given system is,

x(t) = c1e^2t+c2e^(-2it)+c3e^(2it) + e^2t-t-e^(-t) - 5

Therefore, General solution of the given system is,x(t) = c1e^2t+c2e^(-2it)+c3e^(2it) + e^2t-t-e^(-t) - 5.

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