simplify 7 square root of 3-4 square root of 6 plus square root of 48 minus square root of 54

Answer:

7

Step-by-step explanation:

Replace both instances of x in f(x) = 2x + 9 with -1:

f(-1) = 2(-1) + 9 = 7

Thus, f(-1) = 7

The value of the function f(x) = 2x + 9 at x = - 1 Or f(-1) is 7.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 2x + 9.

We know, Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Therefore, f(-1) = 2(-1) + 9.

f(-1) = - 2 + 9.

f(-1) = 7.

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What are the other equations to compare it to ?

Answer:

here x =6

which gives equivalent equation

[tex]log_{6} 36 = 2[/tex]

Step-by-step explanation:

[tex]log_{x} 36 = 2[/tex]

      36 = [tex]x^{2}[/tex]

solving it we get ,

x =+6 and x =-6

since x is the base of log so it cannot be negative

therefore x =6

therefore this equation can be

[tex]log_{6} 36 = 2[/tex]

1) 3rd down.

2) 2nd down.

3) 1st down.

4) 6th down.

Answer:7

Step-by-step explanation:

There are 15 sleeping and only 8 snoring you subtract 8 from 15 which leave you with 7 and that's how many people

By subtracting the number of travelers snoring (8) from the total number of travelers (15), we determine that there are 7 travelers not snoring.

To find out how many travelers in the hostel are not snoring, we will subtract the number of travelers who are snoring from the total number of travelers. The problem states that 8 travelers are snoring, and there are 15 travelers in total. So, we perform the following calculation:

Total travelers - Travelers snoring = Travelers not snoring

15 - 8 = 7

Thus, there are 7 travelers who are not snoring.

Answer:

true

Step-by-step explanation:

Answer:   294.4 m²

Step-by-step explanation:

Separate the shaded region into two parts:

[tex]1.\ Area(A)=\pi\ r^2\ \bigg(\dfrac{\theta}{360}\bigg)\\\\\\.\qquad \qquad =\pi(11.1)^2\bigg(\dfrac{230}{360}\bigg)\\\\\\.\qquad \qquad =247.3[/tex]

[tex]2.\ \text{Use Law of cosines to find the length of the third side.}\\\text{ Then use Heron's formula to find the Area of the triangle.}\\\\s=\dfrac{11.1+11.1+20.12}{2}=21.16\\\\\\A=\sqrt{s(s-a)(s-b)(s-c)}\\\\.\ =\sqrt{21.16(21.16-11.1)(21.16-11.1)(21.16-20.12)}\\\\.\ =\sqrt{2227}\\\\.\ =47.1[/tex]

Area of shaded region = Area of (1) + Area of (2)

                                      =    247.3     +      47.1

                                      =               294.4

Answer:

294.36

Step-by-step explanation:

Find the area of the entire circle.

Subtract out the area of a sector with 130 degrees for the central angle.

Add the area of the isosceles triangle with an apex angle of 130 degrees.

Area of The entire circle

Area = pi * r^2

Area = 3.14 * 11.1^2

Area = 386.88 m^2

Area of the sector with 130 degrees for a central angle

Area_130 = (130/360) * pi * r^2

Area_130 = (130/360) * 3.14* 11.1^2

Area_130 = 139.71

Area of the triangle

1/2 central angle = 130/2 = 65

Bisect the apex angle so that each half = 65 degrees.

Sin(65) = opposite / hypotenuse

Sin(65) = Opposite / 11.1

11.1 * sin(65) = opposite

opposite = 10.06

This is 1/2 the base so the base = 2*10.06 = 20.12

The height of the triangle is found by cos(65) = adjacent/hypotenuse

hypotenuse = 11.1

Cos(65) = adjacent / hypotenuse

adjacent = hypotenuse * cos(65)

adjacent = 4.69 This is the height of the triangle.

Area of the triangle = 1/2 * 20.12 * 4.69

Area of the triangle = 47.19 m^2

Area of the Shaded Area

Area of entire circle - area of sector + area of triangle

=386.88 - 139.71 + 47.19

=294.36

Note

The area of the triangle could be done using Area = 1/2 * 11.1^2 * (2*sin(65)*cos(65) = 1/2 * 11.1^2 * sin(130) = 47.2 but you may not know all the math to do the area this way.

Answer:

the answer is 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

add the the numbers and divide the sum by how many numbers are given

Answer:

infinite solutions

Step-by-step explanation:

Distribute the left side and simplify

- 8x - 17 = - 8x + 4 - 21

- 8x - 17 = - 8x - 17

Since both sides are equal the equation has infinite solutions

Answer:

The fourth graph with the long dotted line shows the system.

Step-by-step explanation:

By graphing both inequalities and shading, you'll find that the overlap shows the fourth graph. Also, there was no need to ask here, you really could have just used desmos.com, it's a great online graphing tool.

Answer:

4th graph : )

Step-by-step explanation:

Answer:

it's either two or three. Sorry for the short answer.

Step-by-step explanation:

$10.0000000000000000000

10.00

Answer:

B) irrational

Step-by-step explanation:

It can not be imaginary, because imaginary numbers are √(negative number).

It can not be rational, because the cube root of 11 can not be displayed as a repeating or ending number (it's 2.22398009... by the way).

The only option is irrational.

Answer:   irrational

Step-by-step explanation:

[tex]\sqrt[3]{11} = 2.2239800905693152........\\\\\text{It has a decimal that never terminates (ends) or r e p e a t s, so it is an}\\\text{irrational number.}[/tex]

The median {Q2} is 10

Q1 is 7+7/2 which is 7

Q3 is 15+12/2 which is 13.5

Final answer:

The quartiles for the data set (5, 7, 7, 8, 10, 11, 12, 15, 17) are found by arranging the data in order and then finding the medians of the lower and upper halves. The first quartile (Q1) is 7, the median (Q2) is 10, and the third quartile (Q3) is 13.5.

Explanation:

To find the quartiles for the data set (5, 7, 7, 8, 10, 11, 12, 15, 17), you first arrange the data in ascending order, which is already done. The median (Q2) is the middle value when the data set is in order, so since there are 9 data points, the median is the fifth value, which is 10.

The first quartile (Q1) is the median of the lower half of the data. For our data set, the lower half is (5, 7, 7, 8), so the median of this set is the average of the middle two values because we have an even number of data points in the lower half. Thus, Q1 is (7 + 7)/2 = 7.

The third quartile (Q3) is the median of the upper half of the data. For our dataset, the upper half is (11, 12, 15, 17). Similarly, since this is an even set, Q3 is the average of the middle two values, (12 + 15)/2 = 13.5.

Therefore, the quartiles for this data set are:

In the finding of m<FOE, I think it would be 70°.

Answer:

∠FOE = 90°

Step-by-step explanation:

In this question given is m∠AOC = 120°, m∠BOD = 150°.

We have to calculate ∠FOE.

Since ∠AOB + ∠COD + ∠BOC = 180°  [ Angle at a point on a straight line ]

∠AOB + ∠COD = 180° - ∠BOC ---(1)

It is given ∠AOC = 120° = ∠AOB + ∠BOC -----(2)

and ∠BOD = 150° = ∠BOC + ∠COD ------(3)

By adding equation (2) and (3)

150 + 120 = ∠ BOC + ∠COD + ∠AOB + BOC

270 = 2∠BOC + ∠COD + ∠ AOB

Now from equation (1)

270 = 2∠BOC + (180 - ∠BOC)

270 = 180 + ∠BOC

270 -180 = ∠BOC

∠BOC = 90°

Since ∠ BOC ≅ ∠FOE   (opposite angles)

Therefore, ∠FOE = 90° is the answer.

[tex]x^{2} (2xy^3)^5\\x^2(32x^5y^15)\\32x^7y^15[/tex]

your answer is B

Answer:

[tex]x= -7[/tex]

Step-by-step explanation:

We need to solve the following root equation:

[tex]\sqrt[3]{x-1} + 2 = 0[/tex]

1. First, we need to add minus two to both sides of the equation:

[tex]\sqrt[3]{x-1}= -2[/tex]

2. Elevate each side of the equation to the power of 3:

[tex]x-1= -8[/tex]

3. Solve for 'x':

[tex]x= -8 + 1[/tex]

[tex]x= -7[/tex]

Therefore, the result is:

[tex]x= -7[/tex]✔️

Answer:

vertex = (2, - 16)

Step-by-step explanation:

given

f(x) = (x - 6)(x + 2) ← equate to zero to find the zeros

(x - 6)(x + 2) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

The vertex lies on the axis of symmetry which is situated at the midpoint of the zeros, hence

[tex]x_{vertex}[/tex] = [tex]\frac{6-2}{2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Substitute x = 2 into f(x) for corresponding y- coordinate of vertex

f(2) = (2 - 6)(2 + 2) = - 4 × 4 = - 16

vertex = (2, - 16)

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = [tex]\frac{1}{2}[/tex] ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 9, b = 15 and C = 70°, hence

A = 0.5 × 9 × 15 × sin70° = 63.4 cm² → C

Answer:

C.[tex]63.4cm^2[/tex]

Step-by-step explanation:

I love trigonometry

the area of a triangle is equal to [tex]\frac{1}{2}*a*b*sinC[/tex]

we have a b and Angle C so just put that in the formula :)

[tex]\frac{1}{2}*9*15*sin70\\[/tex]

[tex]63.4cm^2[/tex]

Answer:

The equation represents an even function

Step-by-step explanation:

For the function above, the value of f(x) is fixed at 3 for positive or negative values of x.

For the absolute value function below, the value of f(x) will always be positive due to the absolute symbol.

In general, a function f(x) is said to be even if;

f(-x) = f(x) such that the function is symmetrical with respect to the y-axis.

the 4 in the tens place is 10 times the 4 in the ones place

The 4 in the tenth place is the product of 10 and the 4 to its right

The number is given as:

Number = 4,444,444

The 4 in the tenth place is:

40

The 4 to its right is:

4

Divide both numbers

40/4 = 10

Hence, the 4 in the tenth place is the product of 10 and the 4 to its right

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Does it have any ANSWER CHOISES!

Answer:

c = 36.87

Step-by-step explanation:

arcsin(3/5)=36.87

ANSWER

D) 20

EXPLANATION

The given expression is

13 − 2(1 − 15) ÷ 4

Use PEDMAS,

Deal with the parenthesis first.

[tex]13 - 2( - 14) \div 4[/tex]

This gives us,

[tex]13 + 28 \div 4[/tex]

Next Divide :

[tex]13 + 7[/tex]

Next add to obtain,

[tex]20[/tex]

The correct choice is D.

Answer:

Step-by-step explanation:

The solution is attached herewith.

Answer:

x = ± 8

Step-by-step explanation:

Note that

(x - [tex]\frac{1}{x}[/tex])² = x² - 2 + [tex]\frac{1}{x^2}[/tex] = 66 - 2 = 64

Take the square root of both sides

x - [tex]\frac{1}{x}[/tex] = ± [tex]\sqrt{64}[/tex] = ± 8

Answer:

40°

Step-by-step explanation:

arc AB has twice the measure of the inscribed angle BCA that intercepts it, so we have the relation ...

(6x-50)° = 2(2x)°

2x -50 = 0

2x = 50

So, angle BCA has measure 50°. Since AC is a diameter, angles BCA and BAC are complementary. Thus ...

m∠BAC = 90° - m∠BCA = 90° - 50°

m∠BAC = 40°

Answer:

The function increase between 0 and 1, and from 2 to infinity.

Step-by-step explanation:

Any one variable function f(x) increases when f(x2) is greater than f(x1), where x2 is greater than x1. For example, in the plot it can be seen that for x2 = 1, f(x2) = 1 and for x1 = 0, f(x1) = 0. So, between points 0 and 1, the function increase. Also, from 2 onwards, the function increase their values.

Answer:

11 is -1 `0 is c

Step-by-step explanation:

11 you subtract 1 from each 10 look for points on griid

When purchasing a car, consider using libraries, newspaper advertisements, and various websites to determine the manufacturer's invoice.

When purchasing a car, three sources for determining the manufacturer's invoice for the basic vehicle include:

Libraries

Newspaper advertisements

Various websites

Utilizing these sources can help buyers obtain accurate pricing information before making a purchase decision.

The sources for determining the manufacturer's invoice for the basic vehicle include:

- Libraries

- Various websites

When purchasing a car, determining the manufacturer's invoice price for the basic vehicle can be crucial for negotiating a fair deal. Libraries offer access to automotive reference materials and pricing guides, providing reliable information on invoice prices. Similarly, various websites dedicated to car pricing, such as manufacturer websites, automotive research sites, and online marketplaces, offer up-to-date invoice pricing data. These sources compile information from manufacturers and dealerships, ensuring accuracy and comprehensiveness. Newspaper advertisements and bookstore resources, however, typically focus more on retail prices and promotions rather than invoice pricing. Therefore, while they may provide some insight into car pricing trends, they are not typically the primary sources for determining the manufacturer's invoice price. Utilizing libraries and online resources ensures consumers have access to accurate and detailed invoice pricing information, empowering them to make informed decisions when purchasing a car.

Answer:

Step-by-step explanation: