What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?
(x Superscript 4 Baseline + 2 x) (3 x minus 7)
x Superscript 4 Baseline (3 x minus 7) (2 x minus 1)
x (x cubed + 2) (3 x minus 7)
x (3 x Superscript 4 Baseline minus 7 x cubed + 6 x minus 14)

Answer:

arithmetic

Step-by-step explanation:

arithmetic

This is because it is increasing by adding 1.5 to each sequence while geometric is multiplying or dividing

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Answer:

it cannot be determined,

if x ≥ -1 , f(x) grows faster than g(x)

but if x ≤ -1, g(x) grows faster than f(x)

Answer:

y=-2x+1

Step-by-step explanation:

The slope of the line is (y(2)-y(1))/(2-1)=(-3+1)/1=-2. The equation of the line is y=mx+(y intercept), y=-2x+1

The complete equation describes how x and y are related y=-2x+1.

We have given, the equation,

We have to determine the complete equation describing how x and y are related.

The slope of the line is(m)=y2-y1/x2-x1

Where m is the slope,

Therefore we get,

(y(2)-y(1))/(2-1)

=(-3+1)/1

=-2.

The equation of the line is y=mx+(y-intercept), y=-2x+1.

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\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

The return on equity for  the firm is 18.75%.

Return on equity=Return on assets +[ (Debt/Equity ratio)×(Return on assets-Return on debt)]

Let plug in the formula

Return on equity=.15+ [(.75)× (.15-.10)]

Return on assets=.15+ (.75×0.05)

Return on assets=.15+0.0375

Return on equity=0.1875×100

Return on equity=18.75%

Therefore the return on equity ratio is 18.75%.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

D one is the answer

Step-by-step explanation:

Answer:  It breaks up into 864+216

Reason:

x = some positive real number

The ratio 4:1 scales up to 4x:1x, so we have two parts one is 4x and the other is 1x. Those two parts add up to 1080

4x+1x = 1080

5x = 1080

x = 1080/5

x = 216

We can then find 4x = 4*216 = 864

As a check: 864+216 = 1080, so the answer is confirmed.

Answer:

y= 2x +7

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 2, m=2.

y= 2x +c

Given that the y-intercept is -7, c = -7.

y= 2x +7

Answer:

-5x + 13y - 6z

Step-by-step explanation:

The perimeter of the triangle OQR is 68 cm

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

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

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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Answer:

it's A, It's perfectly in a straight line and makes sense, mb for long answer but It's A

Answer:

6,000cm^3

Step-by-step explanation:

I don't know if this is correct but, volume is LxWxH and for each rectangular prism, it is 20cm x 10cm x 15cm. So each rectangular prism is 3,000cm^3 and you add them together, you get answer.

Answer:

Step-by-step explanation:

90 times 3 = 270

9x-3 + 6x + 48 = 270

add like terms, 48-3 = 45

9x + 6x + 45 = 270

subtract 45 both sides and add like terms again

15x = 225

divide 15 on both sides

x = 15

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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On the given statement, the transitive property is applicable. Thus option A is correct option.

According to the statement

we have to find that the which statements are true in the form of given statement.

So, For this purpose, we know that the

A property is called transitive property, if x, y and z are the three quantities, and if x is related to y by some rule, and y is related to z by the same rule, then we can say x is related to z by the same rule.

And the given equation is

x=y and y = z

from this it is clear that the x= z.

then transitive property is perfect for this.

So, On the given statement, the transitive property is applicable. Thus option A is correct option.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

If x=y and y = z, which statement must be true

A. Transitive property applicable here

B . Associative property applicable here

C . Distributive property applicable here

D . Identity property applicable here

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y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Here are the shapes and dimensions of each garden space:

Rose Bush: rectangular, 3x + 1 and 2x + 7

Iris Orchid: rectangular, 4x + 2 and x + 5

Sonny Flower: square, 4x + 2

To find the area of each garden space, you will need to use the formula for the area of a rectangle (length x width) or the area of a square (side length x side length). Here is how you would find the area of each space:

Rose Bush: (3x + 1) * (2x + 7) = 6x^2 + 7x + 2x + 7 = 6x^2 + 9x + 7

Iris Orchid: (4x + 2) * (x + 5) = 4x^2 + 9x + 2x + 10 = 4x^2 + 11x + 10

Sonny Flower: (4x + 2) * (4x + 2) = 16x^2 + 32x + 16x + 4 = 16x^2 + 48x + 4

Therefore, the area of the garden space for Rose Bush is 6x^2 + 9x + 7, the area of the garden space for Iris Orchid is 4x^2 + 11x + 10, and the area of the garden space for Sonny Flower is 16x^2 + 48x + 4.

The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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Answer:

When x = 5, y = 7000 * 5 + 125000 = $160,000.

When x = 10, y = 7000 * 10 + 125000 = $195,000.

Answer:

f(5) = $160,000

f(10) = $195,000

Step-by-step explanation:

Simply plug in 5 and 10 as x into the equations:

y = 7000(5) + 125000

y = 35000 + 125000

y = 160000

y = 7000(10) + 125000

y = 70000 + 125000

y = 195000

Answer: 34400 on delta math

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Using the distributive property, we can rearrange the expression into this:
-4^2+-4+5

Which when expanding, is:

16+-4+5, which gives 17.

Answer:

7.8 years

Step-by-step explanation:

Formula

\(PV(1+\frac{i}{n})^{nt}\)

we have

\(2900(1+\frac{.09}{4})^{4t}=5800\\1.0225^{4t}=2\\4t=log_{1.0225}2\\4t=31.1518\\t=7.787957\)

Which rounds to

7.8

In response to the stated question, we may state that As a result, the equation's answer is x = 0.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

4x = 864x is the provided equation.

This equation may be simplified by deleting 4x from both sides:

\(860x = 0\)

This equation may now be rewritten in factored form:

\(860x = 0 \sx(860) = 0\)

We know from the zero-product principle that if the product of two elements is zero, then at least one of them must be zero. As a result, we may set each component to zero and solve for x:

x = 0 or 860 = 0 (which is impossible) (which is impossible)

As a result, the equation's answer is x = 0.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer: 10

Step-by-step explanation:

Answer:

n=10

Step-by-step explanation:

4+3n=−6+4n

Step 1: Simplify both sides of the equation.

3n+4=4n−6

Step 2: Subtract 4n from both sides.

3n+4−4n=4n−6−4n

−n+4=−6

Step 3: Subtract 4 from both sides.

−n+4−4=−6−4

−n=−10

Step 4: Divide both sides by -1.  

n=10

Answer:

The answer is "\(\bold{\frac{ \ e^{9x}}{9} (x-1)+C}\\\)"

Step-by-step explanation:

Taking the integral \(\int x^{2x} \ dx\)  

Evaluating the integral by using integration:

\(u=x\\\\dv=e^{9x} \ dx\)

Let

\(u=x\\\\ dv=e^{9x} dx\)

Then,

\(\to \frac{du}{dx}= 1 \ and\ v =\int e^{9X} \ dx \\\\\to du = 1 \ dx \\\\\to v = \frac{e^{9x}}{9}\\\\\text{integrate the above value}:\\\\\int\ u \ dv = uv - \int v du \\\\Now, \\\\\to \int x e^{9X} \ dx = x \frac{e^{9x}}{9} - \int \frac{e^{9x}}{9} dx\)

                     \(= \frac{ x \ e^{9x}}{9} - \frac{e^{9x}}{9}\\\\= \frac{ \ e^{9x}}{9} (x-1)+C\\\)

Answer:

\(\displaystyle \int {xe^{9x}} \, dx = e^{9x} \bigg( \frac{x}{9} - \frac{1}{81} \bigg) + C\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Basic Power Rule:

Integration

Integration Property [Multiplied Constant]:                                                         \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

U-Substitution

Integration by Parts:                                                                                               \(\displaystyle \int {u} \, dv = uv - \int {v} \, du\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int {xe^{9x}} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Step 3: Integrate Pt. 2

Step 4: Integrate Pt. 3

Identify variables for u-substitution.

Step 5: Integrate Pt. 4

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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