Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

Answer:

r + s - 19

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

r - 7 + s - 12

Step 2: Simplify

Answer:

138ft

Step-by-step explanation:

w = 23, h = 46

23 × 2 = 46

23 + 23 + 46 + 46 = 138

138ft is needed

good luck, hope this helps :)

Answer:

Step-by-step explanation:

P=2(L+W) and we are told L=2W so

P=2(2W+W)

P=2(3W)

P=6W and we are told W=23 yd so

P=6(23)

P=138 yd

Answer:

[6, 8).

Step-by-step explanation:

When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.

In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.

Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.

Applying internal notation, the range of this function is:

[6, 8).

Learn more about interval notation here:

1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.

2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.

The answer is in below picture

Answer:

Step-by-step explanation:

Given cos(θ) = 2/5 and π < θ < 2π, you want the sine and tangent of θ.

Angles are in the range π < θ < 2π in the 3rd and 4th quadrants. The cosine is positive in the 1st and 4th quadrants, so the desired angle is in the 4th quadrant. There, the sine and tangent are negative.

The relationship between cos(θ) and sin(θ) is ...

  sin(θ) = ±√(1 -cos²(θ))

  sin(θ) = -√(1 -(2/5)²) = -√(1 -4/25)

  sin(θ) = -(√21)/5 ≈ -0.9165

The relation between the tangent and the sine and cosine is ...

  tan(θ) = sin(θ)/cos(θ)

  tan(θ) = (-(√21)/5)/(2/5)

  tan(θ) = -(√21)/2 ≈ -2.2913

__

Additional comment

Once you know the sign of the trig functions you're looking for, a calculator can be used to find their numerical values easily. The exact values shown above are better found "by hand".

Answer:

the answer is letter A. 6.5

Step-by-step explanation:

it's correct if I'm rwong ( ╹▽╹ )

Answer:

0.7703

Step-by-step explanation:

The easiest way to calculate this is to find the probability that none of the cubes show a 2. The probability that a cube doesn't show a 2 is 11/12.

\(\frac{11}{12} * \frac{11}{12} * \frac{11}{12} =\) 0.7703. Now we have to subtract this value from one which gives us 0.2297. Hope this helps

Answer:

The correct answer is 0.2297 (B)

Step-by-step explanation:

I just finished the Unit test review on Edge-The other person is wrong!!!

Answer:

  dilation by a factor of -1/2 about the center (6, 5)

  (x, y) ⇒ (9 -x/2, 7.5 -b/2)

Step-by-step explanation:

Figure B is half the size of Figure A. It has been rotated, and translated. The single transformation must have all of these effects.

__

The orientation of shape B is the same as that of shape A. The small extension from the rectangle still points counterclockwise relative to the figure's center. However, it points west instead of east, signifying a rotation of 180°. The same 180° rotation can be accomplished by a reflection across a point.

Shape B has half the dimensions of shape A. That means it has been dilated by a factor of 1/2. The reflection across a point can be accomplished by using a negative dilation factor.

The center of the dilation must reside between the two figures in order for "reflection across a point" to be accomplished. Each point on figure A must be twice as far from that center as the corresponding point on figure B.

Corresponding points are (1, 1) on figure A, and (8.5, 7) on figure B. The center of dilation divides the line between these points into the ratio 2:1. That center can be found as ...

  (a, b) = (2(8.5, 7) +(1, 1))/3 = (17+1, 14+1)/3 = (6, 5)

The single transformation that maps figure A to figure B is ...

  dilation by a factor of -1/2 about the center (6, 5)

  (x, y) ⇒ (9 -x/2, 7.5 -b/2)

ANSWER

The numbers are 7 and 9

EXPLANATION

Let the number be represeted by n and m.

One of these numbers (let's say n) is 2 less than the other: n = m - 2

The sum of the numbers is 16: n + m = 16

We have a system of equations:

We can substitute the first equation into the second and solve for m:

And then substitute back into the first equation to find n:

The numbers are 9 and 7.

Answer:

A

Step-by-step explanation:

Answer: 142825

Step-by-step explanation:

If \(t\) is the number of years, then the population is \(P(t)=100000(1.02)^t\).

Setting \(t=18\). \(P(18)=100000(1.02)^{18} \approx 142825\).

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

The perimeter of this figure, to the nearest unit, is 21.9 units, and the area of this figure, to the nearest square unit is 62.53 square units.

What is a square?

It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.

We have a figure shown in the picture made with squares and circles.

To find the perimeter of the figure.

First, calculate the circumference of the circle portion.

The circumference of the 1/4 circle = (1/4)2πr

The radius of the circle r = 5 units

The circumference of the 1/4 circle = (1/4)2π(5)

The circumference of the 1/4 circle = 7.85 units

The perimeter of the figure = 2 + 5 +7.85 + 2+ 5

The perimeter of the figure = 21.85 units ≈ 21.9 units

The area of the figure = area of the square - an area of the square(5×5) +

area of the 1/4 circle

The area of the figure = 3×3 - 5×5 + π(5)²

The area of the figure = 9 - 25 + 78.53

The area of the figure = 62.53 square units

Hence, the perimeter of this figure, to the nearest unit is 21.9 units, and the area of this figure, to the nearest square unit is 62.53 square units.

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Answer:

Step-by-step explanation:

.................8908989

log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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The domain and the range of the graphed relation are given as follows:

The domain of a function is composed by the set that contains all possible values assumed by the input of the function. Hence, considering the graph of the function, the domain is given by the values of x of the graph.

As the graph contains open circles at both the ends of the domain, the domain is composed by an open interval.

The range of a function is composed by the set that contains all possible values assumed by the output of the function. Hence, considering the graph of the function, the range is given by the values of y of the graph.

The graph assumes a minimum value of -6, hence the lower bound is closed, however the upper bound at y = 4 is open, as the only point the graph reaches y = 4 is on the open circle.

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Answer:

Angle-Side-Angle

Second option

Step-by-step explanation:

We are given two triangles where two of the corresponding angles are equal and side of one triangle is equal to the corresponding side of the other triangle

The postulate to prove the two triangles are congruent is Angle-Side-Angle or ASA which states that two triangles are said to be congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

Answer:

R = 1.2%

Step-by-step explanation:

Given the following data;

Principal = 425

Time = 2

Simple interest = 10.20

To find the annual interest rate;

Mathematically, simple interest is calculated using this formula;

\( S.I = \frac {PRT}{100} \)

Where;

Substituting into the equation, we have;

\( 10.20 = \frac {425*R*2}{100} \)

\( 10.20 = \frac {850R}{100} \)

Cross-multiplying, we have;

\( 1020 = 850R \)

\( R = \frac {1020}{850} \)

R = 1.2%

Therefore, the annual interest rate is 1.2 percent.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

By considering these rules and properties of integers, the correct result of 6 was obtained.

When writing the response, I considered the following information:

The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.

To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.

To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.

This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.

By considering these rules and properties of integers, the correct result of 6 was obtained.

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Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)

Step-by-step explanation:

(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):

(6/x)/(6/x+2)

I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->

(6 +2x)/x

Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)

This simplifies to: \(\frac{6}{6+2x}\)

(b) Domain is all real numbers except for what makes the denominator equal to 0.     6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.

Answer:

Not sure if there are options, but the order of side lengths from smallest to largest is j, k, l

Step-by-step explanation:

This is a bad explanation (sorry):

Side length order will be the same order of angle orders. By that, I mean the since angle C has the smallest angle, the side length across from it will also be the smallest. Since angle B is the biggest angle, side L will be the biggest length. This leaves angle A (and side k) in the middle.

Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

Answer:

Option A

Step-by-step explanation:

Given the following question:

\(9+(\frac{1}{2})^4\times48\)

In order to find this, answer we use order of operations and solve.

\(9+(\frac{1}{2})^4\times48\)
\(\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}\)
\(9+\frac{1}{16} \times48\)
\(\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3\)
\(9+3\)
\(9+3=12\)
\(=12\)

Which means your answer is option A or "12."

Hope this helps.

Answer:

2.25 sq yards for each child

Step-by-step explanation:

Uhh, I can't really use a diagram.

Matthew is also one person, so instead of dividing 9 by 3, we would be dividing 9 by 4.

9/4=2.25 sq yards