Subtracting Polynomials. (3x^2 - 4x) – (5x – x^2 )

A. 2x^2 – 9x

B. 4x^2 – 9x

C. 2x^2 + x

D. 4x^2 + 9x​

Answer:

C. Negative three-fourths

Step-by-step explanation:

Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:

-1 1/4 + 1/2

Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:

-5/4 + 1/2

Taking the LCM of the expression

= (-5+2)/4

= -3/4

Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths

Answer:

-3/4

Step-by-step explanation:

-1 1/4 +1/2

-5/4    +    2/4

-3/4

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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The number of countries that have both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is approximately 174.

To understand the answer, we can interpret the given frequency as a probability. The frequency of 0.174 indicates that out of all countries in North America, 17.4% (or 0.174 as a decimal) have both a population density of fewer than 100,100,100 per square kilometer and a medium population.

To calculate the number of countries, we would multiply this probability by the total number of countries in North America. However, the total number of countries in North America is not provided in the given information. Therefore, without knowing the total number of countries, we cannot provide an exact count of the countries that meet the specified criteria.

In summary, the given information states that the frequency of countries with both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is 0.174. However, without the total number of countries in North America, we cannot determine the exact count of countries that meet the specified criteria.

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Answer:

25 copies rented

Step-by-step explanation:

r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start

we know on the 6 weeks passed and 4 copies were rented

4 = r1 - 5(6)

4 = r1 - 30; add 30 on both sides

34 = r1

r = 34 - 5t now plug t = 2 in for this function

r = 34 - 5(2)

r = 35 - 10

r = 25 copies rented

Answer:

Hey there!

-3(2x-1)

-6x+3

Let me know if this helps :)

Answer:

\(- 6x + 3\)

Step-by-step explanation:

\( - 3(2x - 1) \\ = - 6x + 3\)

Answer:

yay thx for the points, hehe

Answer:

y=-4

Step-by-step explanation:

Since the line is horizontal, there is no slope. So, the equation only has the y-intercept, or -4.

-hope it helps

Answer:

y = - 4

Step-by-step explanation:

You have to use the equation y = m x + c to find the equation of the line.

Here,

m = slope

c = y - intercept

First you have to find the slope of the line.

We know that,

( 0 , -4 ) ⇒ ( x 1 , y 1 )

( 5 , -4 )  ⇒ ( x1 , y2 )

Now let us find the slope of the line.

m = \(\frac{y_{1} -y_2}{x_1-x_2}\)

m = \(\frac{-4-(-4)}{0-5}\)

m = \(\frac{-4+4}{-5}\)

\(m = \frac{0}{-5}\)

m = \(0\)

Now we have to find the y - intercept.

For that, let us use ( 0 , -4 ) .

Let us find now.

y = m x + c

\(-4=0*0+c\)

\(-4=0+c\)

\(-4-0=+c\)

\(-4=c\)

Now let us find the equation of the line.

y = m x + c

y = -4

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

321

Step-by-step explanation:

I think its 321 because it says round to the nearest tenth

Answer:

1180.9litres

Step-by-step explanation:

The unit conversion between (American) gallons and liters:

                     1 gallon = 3.785 liters.

   312 ×  3.785litres = 1180.92litres

          = 1180.9litres

The arithmetic mean is 59.

What is arithmetic mean?

It is the sum of collection of numbers divided by the count of the numbers.

Conider AB is the nuber satisfying the condition. Hence,

\(10A+B=A+B+A\times B\\9A=A\times B\\\)

Since AB is a two digit number hence, \(A\neq 0\\\). Hence, divide both sides by \(A\).

\(9=B\)

Hence, B is 9 and A can take any value from 1 to 9.

Hence, numbers are 19, 29, 39, 49, 59, 69, 79, 89,99.

Now, calculate arithmetic mean as follows:

\(AM=\frac{Sum \ of \ numbes}{Count \ of \ numbers}\\=\frac{19+29+39+49+59+69+79+89+99}{9}\\=59\)

Hence, arithmetic mean of numbers is 59.

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Answer:

X equals 5

Step-by-step explanation:

3x+1=5x-9

3(5)+1=5(5)-9

15+1=25-9

16=16

Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

Answer:x=4 y=6.66666666667

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

Answer:

1/4

Step-by-step explanation:

because you basically divided by two on

Answer:

1/4 is the answer mark me brainliest

Step-by-step explanation:

6m + 3z + 4m + 2w - 5z

6m + 4m + 3z - 5z + 2w

10m - 2z + 2w

Therefore the answer is 10m -2z + 2w

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer: 0.4 than 0.5

Step-by-step explanation:

Answer:

.40 then .50

edge 2021

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{24}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{24}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 16 }{ 2 } \implies 8\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 8}(x-\stackrel{x_1}{1}) \\\\\\ y-8=8x-8\implies {\Large \begin{array}{llll} y=8x \end{array}}\)

Answer:

\(y=8x\)

Step-by-step explanation:

We can see that this line has a constant of proportionality. That is — x is proportional to y and vice versa. This means that the equation for the line's equation will be in the form:

\(y = mx\)

where \(m\) is the ratio of x to y.

This ratio is also known as the line's slope. We can solve for the slope using the equation:

slope = rise / run

slope = \(\Delta\)y / \(\Delta\)x

slope = 8 / 1

slope = 8

\(m=8\)

So, the equation of the line is:

\(y=mx\)

\(\boxed{y=8x}\)

Answer:

domain 12

range 24

brainliest?

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

Answer:

Total Distance = 520km
Average speed = 86.667km/h (to 3 decimal places).

Step-by-step explanation:

80 x 4 = 320km
100 x 2 = 200km

Total distance: 320km + 200km = 520km

Average speed: 520/6(hours) = 86.666

The interval where the derivative function f'(x) has a relative maximum is -2.478 and 1.732 (B) only.

To find the relative maximum of a function, we need to find the critical points of the derivative function. Critical points are where the derivative function is equal to zero or undefined. In this case, the derivative function is f'(x) = sin(x^2 − 3).

To find the critical points, we need to set the derivative function equal to zero and solve for x:
sin(x² − 3) = 0

x² − 3 = nπ, where n is an integer

x² = nπ + 3

x = ±√(nπ + 3)

We need to find the values of x that are in the interval −3 < x < 3. By plugging in different values of n, we can find the critical points in this interval:

n = 0: x = ±√3 ≈ ±1.732

n = 1: x = ±√(π + 3) ≈ ±2.478

n = 2: x = ±√(2π + 3) ≈ ±2.915 (not in the interval)

So the critical points in the interval are -2.478, -1.732, 1.732, and 2.478.

To determine which of these are relative maximums, we need to look at the sign of the derivative function on either side of the critical points. If the derivative function changes from positive to negative at a critical point, then that point is a relative maximum.

At x = -2.478, the derivative function changes from positive to negative, so this is a relative maximum.

At x = -1.732, the derivative function changes from negative to positive, so this is not a relative maximum.

At x = 1.732, the derivative function changes from positive to negative, so this is a relative maximum.

At x = 2.478, the derivative function changes from negative to positive, so this is not a relative maximum.

Therefore, the values of x in the interval −3 < x < 3 where f has a relative maximum are -2.478 and 1.732.

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Step-by-step explanation:

The domain of a graph is all of the possible x values, and the range is all possible y values.

7. The graph goes on for both the x and y values, so the domain is (-inf, inf) and the range is (-inf, inf).

8. In this case, the domain is also (-inf, inf), but the range is [-2, inf) as there are no y values less than -2.

9. The domain is [-2, 2], as the x values only range from -2 to 2. The range is [-3, 3] as the y values range from -3 to 3.

10. The domain is (-inf, inf) because all x values are possible. The range is [-1, 1], as there are no y values greater than 1 or less than -1.

The third-degree Taylor polynomial for f(x) = arcsin(5x) centered at a = 0 is t3(x) = 5x - (125/2)x³.

To find the Taylor polynomial t3(x) for the function f(x) = arcsin(5x) centered at a = 0, we will need to compute the function's derivatives at a = 0 up to the third order.

First, let's compute the first few derivatives of f(x):
f(x) = arcsin(5x)
f'(x) = 5 / sqrt(1 - 25x^2)
f''(x) = 125x / (1 - 25x^2)^(3/2)
f'''(x) = (9375x^2 - 375) / (1 - 25x^2)^(5/2)

Now, let's evaluate these derivatives at a = 0:
f(0) = 0
f'(0) = 5 / sqrt(1) = 5
f''(0) = 0
f'''(0) = -375 / (1)^(5/2) = -375

Using these values, we can write the third-degree Taylor polynomial t3(x) as follows:

t3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3
t3(x) = 0 + 5x + 0 + (-375/6)x^3
t3(x) = 5x - (125/2)x^3

Therefore, the third-degree Taylor polynomial for f(x) = arcsin(5x) centered at a = 0 is t3(x) = 5x - (125/2)x^3.

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Answer:

12x+9.50y equal to or greater than $220

Let's set up the system of inequalities to represent the situation:

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

Unlike an equation, which has one unique solution, an inequality can have multiple solutions or no solution at all. The solutions of an inequality are the values that make the inequality true.

1. Jackie can work no more than 20 hours per week:

x + y ≤ 20

2. Jackie wants to earn at least $220 per week:

12x + 9.50y ≥ 220

Therefore, the system of inequalities that represents this situation is:

x + y ≤ 20

12x + 9.50y ≥ 220

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Answer:

C

Step-by-step explanation: