What is (x2 + 9x+ 18) / (x+6)

The area of the land is 3600 + 60n.

What is area?

Area is a mathematical concept that expresses the size of a region on a plane or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

Given: A contractor is building a new subdivision.

A rectangular piece of land for a new house and yard is 60 feet wide.

The length of the land is longer than the width by a distance of n feet.

So, width = 60 feet

and length = 60 + n feet

Since, the area of rectangular piece of land (A)

Area = length x width

Area = (60 + n) x 60

Area = 3600 + 60n

Hence, the area of the land is 3600 + 60n.

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The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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Answer:

-3

Step-by-step explanation:

8(-3d + 2) = 88 divide both sides by 8

-3d + 2 = 11 rest 2 on both sides

-3d = 9 divide both sides by -3

d = -3

Answer:

i think D it's 110 cuz : 8×-3d and 8×2 = -24d+2=88 so D=88+24-2=110

Answer:

d 10

Step-by-step explanation:

Answer:

Answer is D I’ve done it and got it right before

Step-by-step explanation:

The vertex of the graph is a maximum at (-2, 4)

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

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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The solution set for this inequality is {x | x > 2}

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the inequality:

2x - 3 > 11 - 5x

We can start by simplifying the expression on both sides:

2x - 3 > 11 - 5x

Adding 5x to both sides

7x - 3 > 11

Adding 3 to both sides

7x > 14

Dividing both sides by 7

x > 2

This means that any value of x greater than 2 will make the inequality true.

Thus,

The solution set for this inequality is {x | x > 2}

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Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Answer:

The answer is 4

Step-by-step explanation:

the 2 sides are 9 each and the two tops are 4 each

Answer:

B, No solution

Step-by-step explanation:

If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect

In the first and second equation, the slopes are both 3 so they will never intersect.

\(y = 4 {(x - 6)}^{2} + 3\)

\(y = a {(x - h)}^{2} + k\)

where a-term determines how wide/narrow/upward or downward of the graph.

h-term determines the changes of graph for x-axis

k-term determines the changes of graph for y-axis.

The vertex of parabola is at (h,k).

\(y = 4 {(x - ( + 6)})^{2} + ( + 3)\)

Therefore, h = 6 and k = 3.

\( \large \boxed{(6,3)}\)

Answer:

The value is  \(H  =0.3966\)

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  50

  The  mean tail is  \(\= x  =  85.4 \cm\)

  The  number  of resplendent quetzals selected as breeders  is  \(k =  10\)

   The  mean tail breeders  is  \(\= x_1 =  91.2 \ cm\)

   The mean tail of the breeders after mating  \(\=  x_2  =  87.7 \ cm\)

Generally the selection differential is mathematically represented as

    \(D  =  \= x_1 -  \= x \)

=>  \(D  = 91.2-  85.4 \)

=>  \(D  = 5.8 \  cm \)

Generally the selection response  is mathematically represented as

       \(S =  \=  x_2  - \= x\)

=>    \(S =  87.7   - 85.4\)

=>    \(S =2.3 \  cm \)

Generally the  heritability of tail length in this resplendent quetzal population is mathematically represented as

     \(H  =  h^2 =  \frac{S}{D} \)

=>   \(H  =  h^2 =  \frac{2.3}{5.8} \)

=>  \(H  =  h^2 =  \frac{2.3}{5.8}  \)

=>  \(H  =  h^2 = 0.3966/tex]

Answer:

1997 > y

Step-by-step explanation:

The inequality that presents year before 1997 is y<1997

Inequality shows relation between two expression which are not equal to each others.

According to given condition,

The emoji were introduced in the year 1997,

There can be infinite year before 1997, when emoji were not introduced.

The year y that describes inequality the year before 1997 can be represented as,

y<1997

The required inequality is y<1997.

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In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to the total number of elements in the data set

The total number of data points present in a sample that are less than or equal to a particular value is shown by the cumulative frequency distribution, a type of statistical illustration. It is frequently employed to comprehend the distribution of data within a sample and to spot patterns or trends.

The last class, whose particular form of distribution naturally covers values that are greater than or equal to the last class' upper limit, ideally reflects the widest range of all data values. All data points in the sample that are equal to or greater than the maximum bound of the final class will be included in the cumulative frequency of the last class. As a result, the cumulative frequency of the final class would, typically match the entire number of elements present in the specific data set.

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The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

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Answer: (a)

Step-by-step explanation:

Given

angle is \(270^{\circ}\)

Sine and cosine at this angle is

\(\Rightarrow \sin 270^{\circ}=-1\\\Rightarrow \cos 270^{\circ}=0\)

Put the values in the identity \(\sin ^2\phi +\cos^2 \phi=1\)

\(\Rightarrow (-1)^2+(0)^2=1\)

The same thing is depicted by option (a)

The equation sin²ø + cos²ø = 1 is written as (-1)² + 0² = 1. Then the correct option is A.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The equation is given below.

sin²ø + cos²ø = 1

We know that the ø = 270°. Then we have

sin 270° = -1

cos 270° = 0

Then the equation will be

(-1)² + 0² = 1

Then the correct option is A.

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Answer:

960 feet

Step-by-step explanation:

30×6=180

180×2=360

50×6=300

300×2=600

360+600=960

Answer:

(1, 0.5)

Step-by-step explanation:

i just used order of operations calculator

Solving the equation with elimination method, I got x=1, y= 1/2

Pair (1.00, 0.50)

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

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Step-by-step explanation:

explanation is in the attachment

hope it is helpful to you

By the concept of function, the value of g(x) obtained is

g(x) = 3f(x) is the required function

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here, from the graph, it can be seen that

g(1) = 3 and g(-1) = 3

Let g(x) = \(kx^2\)

g(1) = 3

\(k(1)^2 = 3\\k = 3\)

So g(x) = \(3x^2\) = 3f(x) is the required function

Option B is correct

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Complete Question

If f(x) = x², which equation represents function g?

A. g(x)=1/3f(x)

B. g(x)=3f(x)

C. g(x)=f(1/3x)

D. g(x)=f(3x)

The diagram has been attached here

Answer:

8 significant figures should be provided.

Step-by-step explanation:

I believe I am correct, but check your answer anyways.

Answer:

Step-by-step explanation:

You want the perimeter and area of the triangle shown.

The perimeter is the sum of the side lengths:

  P = (1 ft 9 in) +(2 ft 4 in) +(2 ft 11 in) = (1 +2 +2) ft + (9 + 4 +11) in

  P = 5 ft 24 in = 7 ft

The perimeter is 7 feet.

The area is half the product of base and height:

  A = (1/2)(2 ft 4 in)(1 ft 9 in) = (1 ft 2 in)(1 ft 9 in) = (1 1/6 ft)(1 3/4 ft)

  A = (7/6)(7/4) ft² = 49/24 ft² = 2 1/24 ft² ≈ 2.04167 ft²

Rounded to 1 decimal place, the area is 2.0 square feet.

__

Additional comment

The dimension 2 ft 4 in could be divided by 2, so we did that.

A foot is 12 inches, so 2 inches is 2/12 ft = 1/6 ft, and 9 inches is 9/12 ft = 3/4 ft.

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Well, we know that 3:1 is one batch of orange water. We also know that there are 2 things to focus on.

1. Must write ratio for 2 batches of the recipe.

2. Must write ratio for 4 batches of the recipe.

To make this equation simple, double the ratio to find 2 batches because all it means is 2x more water.

3:1

x2

6:2

So, the ratio would be 6:2 to make 2 batches.

To make it easier again, we just multiply the ratio of 2 batches by 2 which would find the ratio for 4 batches.

6:2

x2

12:4

So that means, that it is 6:2 for 2 batches, and 12:4 for four batches.

Answer:

its c

Step-by-step explanation:

i did the test

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Answer:

The ratios is 10:12 and if you were to write it in a fraction you get 10/12 which is simplified as 5/6

Step-by-step explanation:

Answer:

The ratio of the number of boys divided by the ratio of the number of girls