Given n (x) = 8 [x]+2x+9, answer the following:
Find n(-x).

In order to prove that ∠E = ∠I, we can use the following statements and reasons:

1. Statement: ∠E = ∠FGL

Reason: Opposite angles in a parallelogram are congruent

2. Statement: ∠FGL = ∠KLG

Reason: Alternate interior angles

3. Statement: ∠KLG = ∠I

Reason: Opposite angles in a parallelogram are congruent

4. Statement: ∠E = ∠I

Reason: Transitive property of the equality (∠E = ∠FGL, ∠FGL = ∠KLG and ∠KLG = ∠I, so ∠E = ∠I)

Answer:

189108

Step-by-step explanation:

6*103*3*102=189108

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer:

Step-by-step explanation:

y = (3/4) x +2 is a line so find 2 points and draw a line trough them

one point is the y-intercept ( 0, 2) because y=mx+b and b is the y-intercept

second point you can find using the slope m=3/4 so from (0, 2) you will get to ( 0+4, 2+3)  so your second point is (4, 5)

to graph draw a line trough (0, 2) and (4, 5)

The value of x is approximately 49.4 units.

What is volume ?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.

Let's start by defining some variables:

r: radius of the cone

h: height of the cone

V: volume of the cone

A right cone has a circular base, and its volume can be calculated as follows:

V = (1/3) * π * r² * h

If the diameter of the base is 12 units, then the radius is half of that:

r = 6 units

We also know that the volume is 2767 units³, so we can write:

2767 = (1/3) * π * 6² * h

Simplifying:

h = (2767 * 3) / (π * 6²)

h ≈ 49.15 units

Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:

x² = r² + h²

Substituting the values we have:

x² = 6² + 49.15²

x ≈ 49.4 units

Therefore, the value of x is approximately 49.4 units.

In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.

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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12

Answer:

2x +3y=1⇒equation 1

3x=2y+8

3x-2y=8⇒equation 2

by elimination method,

2x+3y=1 ×2

3x-2y=8 ×3

4x+6y=2

9x-6y=24

cut 6y and -6y

4x+6y=2

9x-6y=24

---------------

13x+0=26

13x=26

x=26/13

x=2

substitute x=2 in equation 1

2(2)+3y=1

4+3y=1

3y=1-4

3y=-3

y=-3/3

y=-1

therefore, x=2 and y=-1

hope it helps u!

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

a. there are three vectors in {a₁, a₂, a₃}.

b. There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. we have that a₁ is in the W.

A matrix is a set of integers arranged in rows and columns. The rows and columns of integers are arranged in a rectangular matrix. The matrix A, for instance, contains two rows and three columns. The elements of the matrix, also known as the entries, are the integers. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

a. The vector b is not in {a₁ ,a₂, a₃} since b is not equal to any of the column vectors of A. Clearly, there are three vectors in {a₁, a₂, a₃}.

b. Vector b is in W if the augmented matrix [a₁, a₂, a₃ b] is consistent.

The augmented matrix is:

\(\left[\begin{array}{cccc}1&0&-4&4\\0&3&-2&1\\-2&6&3&-4\end{array}\right] \sim \left[\begin{array}{cccc}1&0&-4&4\\0&3&-2&1\\0&6&-5&4\end{array}\right] \sim \left[\begin{array}{cccc}1&0&-4&4\\0&3&-2&1\\0&6&-1&2\end{array}\right]\)

Thus, since the system is consistent we have that b must be in W.

There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. since   \(\left[\begin{array}{c}1\\0\\-2\end{array}\right] = 1. \left[\begin{array}{c}1\\0\\-2\end{array}\right] + 0. \left[\begin{array}{c}1\\0\\-2\end{array}\right] + 0. \left[\begin{array}{c}1\\0\\-2\end{array}\right]\) we have that a₁ is in the W.

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a. there are three vectors in {a₁, a₂, a₃}.

b. There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. we have that a₁ is in the W.

A matrix is a set of integers arranged in rows and columns. The rows and columns of integers are arranged in a rectangular matrix. The matrix A, for instance, contains two rows and three columns. The elements of the matrix, also known as the entries, are the integers. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

a. The vector b is not in {a₁ ,a₂, a₃} since b is not equal to any of the column vectors of A. Clearly, there are three vectors in {a₁, a₂, a₃}.

b. Vector b is in W if the augmented matrix [a₁, a₂, a₃ b] is consistent.

No, b is not in {a1, a2, a3}.

There are 3 vectors in {a1, a2, a3}.

Yes, b is in W.

There are infinitely many vectors in W.

Yes, a1 is in W because it can be expressed as a linear combination of the vectors in W. This is shown by the equation a1 = 1(a1) + 0(a2) + 0(a3).  The coefficients of the vectors in the linear combination are all integers and this equation shows that a1 is in the span of the vectors in W.

Thus, since the system is consistent we have that b must be in W.

There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. since we have that a₁ is in the W.

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The approximate 90% confidence interval for this situation is given as follows:

(70244, 70632).

The bounds of the confidence interval are given by the rule presented as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

From the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.645.

The parameters are given as follows:

\(\overline{x} = 70438, \sigma = 645.3, n = 30\)

The lower bound of the interval is given as follows:

\(70438 - 1.645 \times \frac{645.3}{\sqrt{30}} = 70244\)

The upper bound of the interval is given as follows:

\(70438 + 1.645 \times \frac{645.3}{\sqrt{30}} = 70632\)

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Answer:

19

Step-by-step explanation:

first you would combine like terms to get 5x^2-3x-7. plug in -2 into the x's and you will get 19!

Answer:the answer is D

Step-by-step explanation:

I just took the test,its 8x^4.

The value of the function (f o f)(x) will be 4x⁴. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x)= 2x²

Then the value of the function (f o f)(x) will be

(f o f)(x) = f(x) · f(x)

(f o f)(x) = 2x² · 2x²

(f o f)(x) = 4x⁴

Then the correct option is C.

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The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

4 blueberries and 6 strawberries

Step-by-step explanation:

The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

False

Step-by-step explanation:

Polygons=2d Shapes

Not all 2d shapes are 4-sided.

Answer: True

Step-by-step explanation:

Polygons can have 3 or more sides so they can be defined also as quadrilaterals depending on the shapes because a quad is 4

Answer: the first one is 7/9 and the second one is option 2

Step-by-step explanation:

4+7 = 11

< or> = open dot

Answer:

6x+2y=34

6x=34-2y

x=(34-2y)÷6........1st euation

2x-7y=-27.....2nd equation

putting the value of x from equation 1st in equation 2nd we will get

2(34-2y)÷6-7y=-27

68-4y-42y=-27×6

-44y=-162-68

-44y=-230

y=230÷44

y=5.2

again putting the value of x in equation 1st

6x=34-2×5.2

x=23.6÷6

x=3.9

Answer:

18

Step-by-step explanation:

7/14 = x/36

7*36=14*x

252=14x

x=252/14

x=18

Hope this helped !

A log function is a way to find how much a number must be raised in order to get the desired number. The value of the final expression is -36.

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

The logarithmic question can be solved as shown below,

log a =5

a = 10⁵

log b = -6

b= 10⁻⁶

log c = -4

c = 10⁻⁴

Now, the value of \(\rm log\dfrac{\sqrt{bc^5}}{a^2}\) can be written as,

\(\rm log\dfrac{\sqrt{bc^5}}{a^2} = -36\)

Hence, the value of the final expression is -36.

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Answer:

long pieces 126 Short pieces 21

Step-by-step explanation:

18+18+18+18+18+18+18=126

3+3+3+3+3+3+3=21

hope this helped <3

The tax money given by Andy is equivalent to $151.83.

A pie chart is used to describe the data converted to equivalently proportional circle sectors.

Given is that a questionnaire provides 58 Yes, 42 No, and 20 no-opinion answers.

Total opinion polls - 58 + 42 + 20 = 120.

120 opinions cover 360°.

1 opinion will cover - (360/120)°.

58 opinions will cover - (360/120 x 58)° = 3 x 58 = 174°

Therefore, the 58 yes opinions will cover 174 degrees.

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Answer:

-3/4

Step-by-step explanation:

Have a nice day

x: number of tickets it takes to ride a roller coaster

y: number of tickets it takes to ride the bumper cars

Derrick used a total of 16 tickets to ride the roller coaster 4 times and the bumper cars 2 times, that is,

4x + 2y = 16

Javier used a total of 12 tickets to ride the roller coaster 2 times and the bumper cars 3 times, that is,

2x + 3y = 12

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

The minimum data entry is, 26.

The maximum data entry is, 83.

Step-by-step explanation:

The stem-and-leaf plot provided is:

2 | 6

3 | 2

4 | 1 2 2 5 6 6 8

5 | 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9

6 | 8 8 8

7 | 3 8 8

8 | 3

As it is mentioned that 2 | 6 equals 26, the data is:

S = {26, 32, 41, 42, 42, 56, 56, 68, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 83}

The data is arranged in ascending order.

The minimum data entry is, 26.

The maximum data entry is, 83.

Answer:

\(\displaystyle y = 9\)

Explanation:

Both ordered pairs have similar y-coordinates. In addition, any straight line like this one, is considered a zero rate of change [zero slope], therefore you have your equation above.

I am joyous to assist you at any time.